{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/31021"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/31021","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Topics in multi-component ultracold gases and gauge fields","abstract":"In this thesis, we present theoretical studies on three topics related to multi-component ultracold gases and gauge fields. The first topic that we discuss is artificial gauge fields in ultracold gases. Recently, methods to create artificial gauge fields coupled to neutral ultracold systems using a light-induced Berry's connection have been rapidly developing. These methods are not only capable of creating Abelian gauge fields, such as a conventional magnetic field, but also non-Abelian gauge fields, which opens a way to explore and simulate a wide variety of physical models. In this thesis, we discuss various properties of bosons with Rashba-Dresselhaus spin-orbit coupling, which is a special type of non-Abelian gauge field. We investigate the stability of Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling, and show that the condensates are stable against quantum and thermal fluctuations. We also consider the renormalization of the bare interaction by calculating the t-matrix and its consequence on the ground state phase diagrams. The second topic discussed here is three-component ultracold fermionic systems. It is known that ferromagnetism and superfluidity can coexist at low enough temperature in three-component ultracold fermions. In this thesis, we elucidate how fermionic pairing and population imbalance enhance each other. We also describe a crossover from Bardeen-Cooper-Schrieffer state of fermionic pairing state to the limit of Bose-Einstein condensate of three weakly interacting species of molecules, as the interaction increases. Furthermore, we find an interesting similarity in the free energies between three-component ultracold fermions and quantum chromodynamics. The last topic discussed here is Niels Bohr's double-slit interference gedankenexperiment with charged particles, which argues that the consistency of elementary quantum mechanics requires that the electromagnetic field must be quantized. In the experiment a particle's path through the slits is determined by measuring the Coulomb field that it produces at large distances. Under these conditions the interference pattern must be suppressed; otherwise quantum mechanics is not consistent. The mechanism for the suppression of the interference pattern is that, as the particle's trajectory is bent in diffraction by the slits, it must radiate and the radiation must carry away phase information. Thus, the radiation field must be a quantized dynamical degree of freedom. We also consider the related setup in which one attempts to determine the path of a massive particle through an interferometer by measuring the Newtonian gravitational potential the particle produces. In this case, we show that the interference pattern would have to be finer than the Planck length and thus indiscernible. Therefore, unlike for the electromagnetic field, Bohr's argument does not imply that the gravitational field must be quantized.","abstract_html":"In this thesis, we present theoretical studies on three topics related to multi-component ultracold gases and gauge fields. The first topic that we discuss is artificial gauge fields in ultracold gases. Recently, methods to create artificial gauge fields coupled to neutral ultracold systems using a light-induced Berry's connection have been rapidly developing. These methods are not only capable of creating Abelian gauge fields, such as a conventional magnetic field, but also non-Abelian gauge fields, which opens a way to explore and simulate a wide variety of physical models. In this thesis, we discuss various properties of bosons with Rashba-Dresselhaus spin-orbit coupling, which is a special type of non-Abelian gauge field. We investigate the stability of Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling, and show that the condensates are stable against quantum and thermal fluctuations. We also consider the renormalization of the bare interaction by calculating the t-matrix and its consequence on the ground state phase diagrams. The second topic discussed here is three-component ultracold fermionic systems. It is known that ferromagnetism and superfluidity can coexist at low enough temperature in three-component ultracold fermions. In this thesis, we elucidate how fermionic pairing and population imbalance enhance each other. We also describe a crossover from Bardeen-Cooper-Schrieffer state of fermionic pairing state to the limit of Bose-Einstein condensate of three weakly interacting species of molecules, as the interaction increases. Furthermore, we find an interesting similarity in the free energies between three-component ultracold fermions and quantum chromodynamics. The last topic discussed here is Niels Bohr's double-slit interference gedankenexperiment with charged particles, which argues that the consistency of elementary quantum mechanics requires that the electromagnetic field must be quantized. In the experiment a particle's path through the slits is determined by measuring the Coulomb field that it produces at large distances. Under these conditions the interference pattern must be suppressed; otherwise quantum mechanics is not consistent. The mechanism for the suppression of the interference pattern is that, as the particle's trajectory is bent in diffraction by the slits, it must radiate and the radiation must carry away phase information. Thus, the radiation field must be a quantized dynamical degree of freedom. We also consider the related setup in which one attempts to determine the path of a massive particle through an interferometer by measuring the Newtonian gravitational potential the particle produces. In this case, we show that the interference pattern would have to be finer than the Planck length and thus indiscernible. Therefore, unlike for the electromagnetic field, Bohr's argument does not imply that the gravitational field must be quantized.","abstract_has_math":false,"creators":["Ozawa, Tomoki"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Baym, Gordon A.","Vishveshwara, Smitha","DeMarco, Brian L.","Gilbert, Matthew J."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-05","date_published":"2012-05","updated_at":"2026-07-22T22:25:29Z","subjects":["ultracold gas","artificial gauge field","multi-component fermion","double-slit interference"],"languages":["en"],"rights":["Copyright 2012 Tomoki Ozawa"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/31021","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Baym, Gordon A.","Vishveshwara, Smitha","DeMarco, Brian L.","Gilbert, Matthew J."]},{"key":"dc:creator","label":"Author","values":["Ozawa, Tomoki"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-05","2012-05-22T00:22:12Z"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["ultracold gas","artificial gauge field","multi-component fermion","double-slit interference"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2012 Tomoki Ozawa"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/31021"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In this thesis, we present theoretical studies on three topics related to multi-component ultracold gases and gauge fields. The first topic that we discuss is artificial gauge fields in ultracold gases. Recently, methods to create artificial gauge fields coupled to neutral ultracold systems using a light-induced Berry's connection have been rapidly developing. These methods are not only capable of creating Abelian gauge fields, such as a conventional magnetic field, but also non-Abelian gauge fields, which opens a way to explore and simulate a wide variety of physical models. In this thesis, we discuss various properties of bosons with Rashba-Dresselhaus spin-orbit coupling, which is a special type of non-Abelian gauge field. We investigate the stability of Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling, and show that the condensates are stable against quantum and thermal fluctuations. We also consider the renormalization of the bare interaction by calculating the t-matrix and its consequence on the ground state phase diagrams. The second topic discussed here is three-component ultracold fermionic systems. It is known that ferromagnetism and superfluidity can coexist at low enough temperature in three-component ultracold fermions. In this thesis, we elucidate how fermionic pairing and population imbalance enhance each other. We also describe a crossover from Bardeen-Cooper-Schrieffer state of fermionic pairing state to the limit of Bose-Einstein condensate of three weakly interacting species of molecules, as the interaction increases. Furthermore, we find an interesting similarity in the free energies between three-component ultracold fermions and quantum chromodynamics. The last topic discussed here is Niels Bohr's double-slit interference gedankenexperiment with charged particles, which argues that the consistency of elementary quantum mechanics requires that the electromagnetic field must be quantized. In the experiment a particle's path through the slits is determined by measuring the Coulomb field that it produces at large distances. Under these conditions the interference pattern must be suppressed; otherwise quantum mechanics is not consistent. The mechanism for the suppression of the interference pattern is that, as the particle's trajectory is bent in diffraction by the slits, it must radiate and the radiation must carry away phase information. Thus, the radiation field must be a quantized dynamical degree of freedom. We also consider the related setup in which one attempts to determine the path of a massive particle through an interferometer by measuring the Newtonian gravitational potential the particle produces. In this case, we show that the interference pattern would have to be finer than the Planck length and thus indiscernible. Therefore, unlike for the electromagnetic field, Bohr's argument does not imply that the gravitational field must be quantized.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-04-12T19:59:51Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 58 vortices_martin.eps: 438132 bytes, checksum: 3ce8c34267107d9c7f64f083dedf6f63 (MD5) visdissum2.eps: 330750 bytes, checksum: 141a485d2ffcdc02df620963d04ee6ab (MD5) two-slit.eps: 533986 bytes, checksum: 5dd1c23df31f1ff6a21984e3c75dbd1b (MD5) tmatrix_aaaa.eps: 503311 bytes, checksum: 13b6498897d6adc79770c4c31929480a (MD5) tc_crossover.eps: 19932 bytes, checksum: 564aed4b8da4cbcc141d695cf8dc1627 (MD5) t0meanfield_gap_nr.eps: 22704 bytes, checksum: 5cefe120c57179260ba699e6aa84e457 (MD5) su2_phases.eps: 249680 bytes, checksum: 91b45b7ca4e2997044f4994d5557a0c4 (MD5) su2_phases_closeto1.eps: 248238 bytes, checksum: fc66aaf61c0ec72ca5210e02e0156e6c (MD5) sigma_gamma_lines.eps: 48497 bytes, checksum: d03a2a4ea04ddacef79372222ea08f85 (MD5) rganomalous.eps: 26277 bytes, checksum: 78a043344bf2652de4951b291c90a283 (MD5) phase_diagram_rdm.eps: 341270 bytes, checksum: ecf2b1ec385dc137320cf44c146d025a (MD5) nex_improved_2.eps: 361698 bytes, checksum: a6f50026cf98d24ff5bf341da94952f9 (MD5) negative_eta05.eps: 130174 bytes, checksum: 5fb64a95ec7ff5f26584b45056c34ae7 (MD5) molecules.eps: 35377 bytes, checksum: 87206def802b7c7d7e2a4e42f64a7c13 (MD5) mean_phase_d.eps: 375950 bytes, checksum: 460a2dc37b63344b2bb06470e93eee25 (MD5) groundstate_eta099999.eps: 137472 bytes, checksum: 47d4ae328148363a335194b5d1607dc9 (MD5) groundstate_eta09995.eps: 148704 bytes, checksum: e1541adf1a392b2215efdc31d3bdb0b9 (MD5) groundstate_eta0999.eps: 148817 bytes, checksum: 1961a3baa47f33998a5bb7617d7628d1 (MD5) groundstate_eta075.eps: 145131 bytes, checksum: 7a4d9f2f71a558d9c914541db17775da (MD5) groundstate_eta050.eps: 153542 bytes, checksum: 626ca7f9ff14352830ef0329a29e167a (MD5) groundstate_eta025.eps: 158268 bytes, checksum: ecdd6f2d933712be8fc75e0d0c03ec1c (MD5) groundstate_eta1.eps: 120202 bytes, checksum: 26309f610d7b4cb1383dc6a1fb00ba1c (MD5) groundstate_eta00.eps: 133547 bytes, checksum: ad653b47bad390ed795326f6c1dae1b0 (MD5) gravitational_detector.eps: 360050 bytes, checksum: ed4c755a7239e962807ea6c3b829fe83 (MD5) gammapieta05.eps: 92465 bytes, checksum: f27dd4585991b255d3bf4be4b6cea543 (MD5) gamma0eta05_new4.eps: 1495795 bytes, checksum: 3ee328e9e37626fcdd219af3f64efab7 (MD5) fxgx0706.eps: 124070 bytes, checksum: 87938023f5fed29ced5e15cb4441f2fb (MD5) energy_2.eps: 348134 bytes, checksum: da6d4179d8e365fe0a66881276f856f7 (MD5) dyson_equation.eps: 41294 bytes, checksum: d3d2d98a204fd9989c353c4209ef5f8c (MD5) double_slit.eps: 291580 bytes, checksum: f21e07ee3cf0a833541a8fb32478cc97 (MD5) bcsbec.eps: 307814 bytes, checksum: bf0841f91d003c69ef6d6be515ad5f12 (MD5) bcsbec_vortices.eps: 4579690 bytes, checksum: 3f8eaa2b211458703c8564cd767bf734 (MD5) apparatus.eps: 274390 bytes, checksum: c2ea299162d393a4ad37e568dc192f2f (MD5) 2010_06_16_belowtc.eps: 148133 bytes, checksum: c1d984de9a41c90ec5e219cd81fe46af (MD5) vertex_ladder.pdf: 205238 bytes, checksum: 210341941a69c8eed4254f1047d6d2d0 (MD5) rashba_dispersion_isoc.pdf: 436488 bytes, checksum: 0885a2788cd29b7b066405db7f8fa0d8 (MD5) rashba_dispersion_anisoc.pdf: 387271 bytes, checksum: 7aa2e16161911e10f61900be279637db (MD5) double_slit_hitachi.pdf: 227651 bytes, checksum: 167658636ebdad992e789ebec6a8ecf0 (MD5) contour_matsubara.pdf: 128505 bytes, checksum: dc5a085ca19b25df3e4d5b48bcd1a03e (MD5) artificial_vortices.pdf: 661370 bytes, checksum: 7233628aa060cec7abc3033c8e02eba1 (MD5) thesis.bib: 56941 bytes, checksum: 9efafe605ff9a07b916adfa62ae26b85 (MD5) ch_threecomponent.tex: 48846 bytes, checksum: 327bb71dde3c3e79c0177b25705a5f9b (MD5) ch_scattering.tex: 75736 bytes, checksum: b07edb83db26f0ab957b5c4704dff76c (MD5) ch_renormalized.tex: 43069 bytes, checksum: 18c91f80417227059e5d9614a83a165e (MD5) ch_mean_coupling.tex: 43256 bytes, checksum: 0c4bd58fde6bbb264f9490560dad3c39 (MD5) ch_maketitle.tex: 1871 bytes, checksum: fbbd0a69363e1dfb866ded8168dbd0be (MD5) ch_introduction.tex: 25313 bytes, checksum: 973c890a729539554c63d2cfdbf9c3de (MD5) ch_interference.tex: 31982 bytes, checksum: e5440dbccad0fa3aa19600794abc89f4 (MD5) ch_ground_state.tex: 100275 bytes, checksum: d9a0232acfd98ba9dd7519568cebf021 (MD5) ch_fluctuation.tex: 56748 bytes, checksum: 677f40ffad5772a70006a82072b9dcfe (MD5) ch_artificial_gauge.tex: 51698 bytes, checksum: 53d4ebdbaf0e3008304fb229f5ac2645 (MD5) ap_threecomponent.tex: 24041 bytes, checksum: 1d3a51fe96be721bc990fccbc1666826 (MD5) ap_meangreen.tex: 16978 bytes, checksum: 598e7ca405f6029ec4c649b66c6dc752 (MD5) ap_bosetmatrix.tex: 19856 bytes, checksum: acd10be18ee2bafbd76787d4a4651090 (MD5) acknowledgements.tex: 2931 bytes, checksum: 0e00ec7ec16c4aecd29e762c194b44c6 (MD5) abstract.tex: 2975 bytes, checksum: c8e1b45bce873624ef42d5418b851859 (MD5) Ozawa_Tomoki.tex: 3899 bytes, checksum: b4ca3553256807e0c9cbf58c68cd4338 (MD5) Ozawa_Tomoki.pdf: 4656660 bytes, checksum: 4e93d617f81dbc23fc5871d3ca92da1c (MD5)","Made available in DSpace on 2012-05-22T00:22:12Z (GMT). No. of bitstreams: 59 Ozawa_Tomoki.pdf: 4656660 bytes, checksum: 4e93d617f81dbc23fc5871d3ca92da1c (MD5) vortices_martin.eps: 438132 bytes, checksum: 3ce8c34267107d9c7f64f083dedf6f63 (MD5) visdissum2.eps: 330750 bytes, checksum: 141a485d2ffcdc02df620963d04ee6ab (MD5) two-slit.eps: 533986 bytes, checksum: 5dd1c23df31f1ff6a21984e3c75dbd1b (MD5) tmatrix_aaaa.eps: 503311 bytes, checksum: 13b6498897d6adc79770c4c31929480a (MD5) tc_crossover.eps: 19932 bytes, checksum: 564aed4b8da4cbcc141d695cf8dc1627 (MD5) t0meanfield_gap_nr.eps: 22704 bytes, checksum: 5cefe120c57179260ba699e6aa84e457 (MD5) su2_phases.eps: 249680 bytes, checksum: 91b45b7ca4e2997044f4994d5557a0c4 (MD5) su2_phases_closeto1.eps: 248238 bytes, checksum: fc66aaf61c0ec72ca5210e02e0156e6c (MD5) sigma_gamma_lines.eps: 48497 bytes, checksum: d03a2a4ea04ddacef79372222ea08f85 (MD5) rganomalous.eps: 26277 bytes, checksum: 78a043344bf2652de4951b291c90a283 (MD5) phase_diagram_rdm.eps: 341270 bytes, checksum: ecf2b1ec385dc137320cf44c146d025a (MD5) nex_improved_2.eps: 361698 bytes, checksum: a6f50026cf98d24ff5bf341da94952f9 (MD5) negative_eta05.eps: 130174 bytes, checksum: 5fb64a95ec7ff5f26584b45056c34ae7 (MD5) molecules.eps: 35377 bytes, checksum: 87206def802b7c7d7e2a4e42f64a7c13 (MD5) mean_phase_d.eps: 375950 bytes, checksum: 460a2dc37b63344b2bb06470e93eee25 (MD5) groundstate_eta099999.eps: 137472 bytes, checksum: 47d4ae328148363a335194b5d1607dc9 (MD5) groundstate_eta09995.eps: 148704 bytes, checksum: e1541adf1a392b2215efdc31d3bdb0b9 (MD5) groundstate_eta0999.eps: 148817 bytes, checksum: 1961a3baa47f33998a5bb7617d7628d1 (MD5) groundstate_eta075.eps: 145131 bytes, checksum: 7a4d9f2f71a558d9c914541db17775da (MD5) groundstate_eta050.eps: 153542 bytes, checksum: 626ca7f9ff14352830ef0329a29e167a (MD5) groundstate_eta025.eps: 158268 bytes, checksum: ecdd6f2d933712be8fc75e0d0c03ec1c (MD5) groundstate_eta1.eps: 120202 bytes, checksum: 26309f610d7b4cb1383dc6a1fb00ba1c (MD5) groundstate_eta00.eps: 133547 bytes, checksum: ad653b47bad390ed795326f6c1dae1b0 (MD5) gravitational_detector.eps: 360050 bytes, checksum: ed4c755a7239e962807ea6c3b829fe83 (MD5) gammapieta05.eps: 92465 bytes, checksum: f27dd4585991b255d3bf4be4b6cea543 (MD5) gamma0eta05_new4.eps: 1495795 bytes, checksum: 3ee328e9e37626fcdd219af3f64efab7 (MD5) fxgx0706.eps: 124070 bytes, checksum: 87938023f5fed29ced5e15cb4441f2fb (MD5) energy_2.eps: 348134 bytes, checksum: da6d4179d8e365fe0a66881276f856f7 (MD5) dyson_equation.eps: 41294 bytes, checksum: d3d2d98a204fd9989c353c4209ef5f8c (MD5) double_slit.eps: 291580 bytes, checksum: f21e07ee3cf0a833541a8fb32478cc97 (MD5) bcsbec.eps: 307814 bytes, checksum: bf0841f91d003c69ef6d6be515ad5f12 (MD5) bcsbec_vortices.eps: 4579690 bytes, checksum: 3f8eaa2b211458703c8564cd767bf734 (MD5) apparatus.eps: 274390 bytes, checksum: c2ea299162d393a4ad37e568dc192f2f (MD5) 2010_06_16_belowtc.eps: 148133 bytes, checksum: c1d984de9a41c90ec5e219cd81fe46af (MD5) vertex_ladder.pdf: 205238 bytes, checksum: 210341941a69c8eed4254f1047d6d2d0 (MD5) rashba_dispersion_isoc.pdf: 436488 bytes, checksum: 0885a2788cd29b7b066405db7f8fa0d8 (MD5) rashba_dispersion_anisoc.pdf: 387271 bytes, checksum: 7aa2e16161911e10f61900be279637db (MD5) double_slit_hitachi.pdf: 227651 bytes, checksum: 167658636ebdad992e789ebec6a8ecf0 (MD5) contour_matsubara.pdf: 128505 bytes, checksum: dc5a085ca19b25df3e4d5b48bcd1a03e (MD5) artificial_vortices.pdf: 661370 bytes, checksum: 7233628aa060cec7abc3033c8e02eba1 (MD5) thesis.bib: 56941 bytes, checksum: 9efafe605ff9a07b916adfa62ae26b85 (MD5) ch_threecomponent.tex: 48846 bytes, checksum: 327bb71dde3c3e79c0177b25705a5f9b (MD5) ch_scattering.tex: 75736 bytes, checksum: b07edb83db26f0ab957b5c4704dff76c (MD5) ch_renormalized.tex: 43069 bytes, checksum: 18c91f80417227059e5d9614a83a165e (MD5) ch_mean_coupling.tex: 43256 bytes, checksum: 0c4bd58fde6bbb264f9490560dad3c39 (MD5) ch_maketitle.tex: 1871 bytes, checksum: fbbd0a69363e1dfb866ded8168dbd0be (MD5) ch_introduction.tex: 25313 bytes, checksum: 973c890a729539554c63d2cfdbf9c3de (MD5) ch_interference.tex: 31982 bytes, checksum: e5440dbccad0fa3aa19600794abc89f4 (MD5) ch_ground_state.tex: 100275 bytes, checksum: d9a0232acfd98ba9dd7519568cebf021 (MD5) ch_fluctuation.tex: 56748 bytes, checksum: 677f40ffad5772a70006a82072b9dcfe (MD5) ch_artificial_gauge.tex: 51698 bytes, checksum: 53d4ebdbaf0e3008304fb229f5ac2645 (MD5) ap_threecomponent.tex: 24041 bytes, checksum: 1d3a51fe96be721bc990fccbc1666826 (MD5) ap_meangreen.tex: 16978 bytes, checksum: 598e7ca405f6029ec4c649b66c6dc752 (MD5) ap_bosetmatrix.tex: 19856 bytes, checksum: acd10be18ee2bafbd76787d4a4651090 (MD5) acknowledgements.tex: 2931 bytes, checksum: 0e00ec7ec16c4aecd29e762c194b44c6 (MD5) abstract.tex: 2975 bytes, checksum: c8e1b45bce873624ef42d5418b851859 (MD5) Ozawa_Tomoki.tex: 3899 bytes, checksum: b4ca3553256807e0c9cbf58c68cd4338 (MD5) license.txt: 4061 bytes, checksum: 0a4762eb20198c8e6b4a6fb44bba12f7 (MD5)"]},{"key":"dc:title","label":"Title","values":["Topics in multi-component ultracold gases and gauge fields"]}]}],"canonical_facts":{"dc:contributor":["Baym, Gordon A.","Vishveshwara, Smitha","DeMarco, Brian L.","Gilbert, Matthew J."],"dc:creator":["Ozawa, Tomoki"],"dc:date":["2012-05","2012-05-22T00:22:12Z"],"dc:description":["In this thesis, we present theoretical studies on three topics related to multi-component ultracold gases and gauge fields. The first topic that we discuss is artificial gauge fields in ultracold gases. Recently, methods to create artificial gauge fields coupled to neutral ultracold systems using a light-induced Berry's connection have been rapidly developing. These methods are not only capable of creating Abelian gauge fields, such as a conventional magnetic field, but also non-Abelian gauge fields, which opens a way to explore and simulate a wide variety of physical models. In this thesis, we discuss various properties of bosons with Rashba-Dresselhaus spin-orbit coupling, which is a special type of non-Abelian gauge field. We investigate the stability of Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling, and show that the condensates are stable against quantum and thermal fluctuations. We also consider the renormalization of the bare interaction by calculating the t-matrix and its consequence on the ground state phase diagrams. The second topic discussed here is three-component ultracold fermionic systems. It is known that ferromagnetism and superfluidity can coexist at low enough temperature in three-component ultracold fermions. In this thesis, we elucidate how fermionic pairing and population imbalance enhance each other. We also describe a crossover from Bardeen-Cooper-Schrieffer state of fermionic pairing state to the limit of Bose-Einstein condensate of three weakly interacting species of molecules, as the interaction increases. Furthermore, we find an interesting similarity in the free energies between three-component ultracold fermions and quantum chromodynamics. The last topic discussed here is Niels Bohr's double-slit interference gedankenexperiment with charged particles, which argues that the consistency of elementary quantum mechanics requires that the electromagnetic field must be quantized. In the experiment a particle's path through the slits is determined by measuring the Coulomb field that it produces at large distances. Under these conditions the interference pattern must be suppressed; otherwise quantum mechanics is not consistent. The mechanism for the suppression of the interference pattern is that, as the particle's trajectory is bent in diffraction by the slits, it must radiate and the radiation must carry away phase information. Thus, the radiation field must be a quantized dynamical degree of freedom. We also consider the related setup in which one attempts to determine the path of a massive particle through an interferometer by measuring the Newtonian gravitational potential the particle produces. In this case, we show that the interference pattern would have to be finer than the Planck length and thus indiscernible. Therefore, unlike for the electromagnetic field, Bohr's argument does not imply that the gravitational field must be quantized.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-04-12T19:59:51Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 58 vortices_martin.eps: 438132 bytes, checksum: 3ce8c34267107d9c7f64f083dedf6f63 (MD5) visdissum2.eps: 330750 bytes, checksum: 141a485d2ffcdc02df620963d04ee6ab (MD5) two-slit.eps: 533986 bytes, checksum: 5dd1c23df31f1ff6a21984e3c75dbd1b (MD5) tmatrix_aaaa.eps: 503311 bytes, checksum: 13b6498897d6adc79770c4c31929480a (MD5) tc_crossover.eps: 19932 bytes, checksum: 564aed4b8da4cbcc141d695cf8dc1627 (MD5) t0meanfield_gap_nr.eps: 22704 bytes, checksum: 5cefe120c57179260ba699e6aa84e457 (MD5) su2_phases.eps: 249680 bytes, checksum: 91b45b7ca4e2997044f4994d5557a0c4 (MD5) su2_phases_closeto1.eps: 248238 bytes, checksum: fc66aaf61c0ec72ca5210e02e0156e6c (MD5) sigma_gamma_lines.eps: 48497 bytes, checksum: d03a2a4ea04ddacef79372222ea08f85 (MD5) rganomalous.eps: 26277 bytes, checksum: 78a043344bf2652de4951b291c90a283 (MD5) phase_diagram_rdm.eps: 341270 bytes, checksum: ecf2b1ec385dc137320cf44c146d025a (MD5) nex_improved_2.eps: 361698 bytes, checksum: a6f50026cf98d24ff5bf341da94952f9 (MD5) negative_eta05.eps: 130174 bytes, checksum: 5fb64a95ec7ff5f26584b45056c34ae7 (MD5) molecules.eps: 35377 bytes, checksum: 87206def802b7c7d7e2a4e42f64a7c13 (MD5) mean_phase_d.eps: 375950 bytes, checksum: 460a2dc37b63344b2bb06470e93eee25 (MD5) groundstate_eta099999.eps: 137472 bytes, checksum: 47d4ae328148363a335194b5d1607dc9 (MD5) groundstate_eta09995.eps: 148704 bytes, checksum: e1541adf1a392b2215efdc31d3bdb0b9 (MD5) groundstate_eta0999.eps: 148817 bytes, checksum: 1961a3baa47f33998a5bb7617d7628d1 (MD5) groundstate_eta075.eps: 145131 bytes, checksum: 7a4d9f2f71a558d9c914541db17775da (MD5) groundstate_eta050.eps: 153542 bytes, checksum: 626ca7f9ff14352830ef0329a29e167a (MD5) groundstate_eta025.eps: 158268 bytes, checksum: ecdd6f2d933712be8fc75e0d0c03ec1c (MD5) groundstate_eta1.eps: 120202 bytes, checksum: 26309f610d7b4cb1383dc6a1fb00ba1c (MD5) groundstate_eta00.eps: 133547 bytes, checksum: ad653b47bad390ed795326f6c1dae1b0 (MD5) gravitational_detector.eps: 360050 bytes, checksum: ed4c755a7239e962807ea6c3b829fe83 (MD5) gammapieta05.eps: 92465 bytes, checksum: f27dd4585991b255d3bf4be4b6cea543 (MD5) gamma0eta05_new4.eps: 1495795 bytes, checksum: 3ee328e9e37626fcdd219af3f64efab7 (MD5) fxgx0706.eps: 124070 bytes, checksum: 87938023f5fed29ced5e15cb4441f2fb (MD5) energy_2.eps: 348134 bytes, checksum: da6d4179d8e365fe0a66881276f856f7 (MD5) dyson_equation.eps: 41294 bytes, checksum: d3d2d98a204fd9989c353c4209ef5f8c (MD5) double_slit.eps: 291580 bytes, checksum: f21e07ee3cf0a833541a8fb32478cc97 (MD5) bcsbec.eps: 307814 bytes, checksum: bf0841f91d003c69ef6d6be515ad5f12 (MD5) bcsbec_vortices.eps: 4579690 bytes, checksum: 3f8eaa2b211458703c8564cd767bf734 (MD5) apparatus.eps: 274390 bytes, checksum: c2ea299162d393a4ad37e568dc192f2f (MD5) 2010_06_16_belowtc.eps: 148133 bytes, checksum: c1d984de9a41c90ec5e219cd81fe46af (MD5) vertex_ladder.pdf: 205238 bytes, checksum: 210341941a69c8eed4254f1047d6d2d0 (MD5) rashba_dispersion_isoc.pdf: 436488 bytes, checksum: 0885a2788cd29b7b066405db7f8fa0d8 (MD5) rashba_dispersion_anisoc.pdf: 387271 bytes, checksum: 7aa2e16161911e10f61900be279637db (MD5) double_slit_hitachi.pdf: 227651 bytes, checksum: 167658636ebdad992e789ebec6a8ecf0 (MD5) contour_matsubara.pdf: 128505 bytes, checksum: dc5a085ca19b25df3e4d5b48bcd1a03e (MD5) artificial_vortices.pdf: 661370 bytes, checksum: 7233628aa060cec7abc3033c8e02eba1 (MD5) thesis.bib: 56941 bytes, checksum: 9efafe605ff9a07b916adfa62ae26b85 (MD5) ch_threecomponent.tex: 48846 bytes, checksum: 327bb71dde3c3e79c0177b25705a5f9b (MD5) ch_scattering.tex: 75736 bytes, checksum: b07edb83db26f0ab957b5c4704dff76c (MD5) ch_renormalized.tex: 43069 bytes, checksum: 18c91f80417227059e5d9614a83a165e (MD5) ch_mean_coupling.tex: 43256 bytes, checksum: 0c4bd58fde6bbb264f9490560dad3c39 (MD5) ch_maketitle.tex: 1871 bytes, checksum: fbbd0a69363e1dfb866ded8168dbd0be (MD5) ch_introduction.tex: 25313 bytes, checksum: 973c890a729539554c63d2cfdbf9c3de (MD5) ch_interference.tex: 31982 bytes, checksum: e5440dbccad0fa3aa19600794abc89f4 (MD5) ch_ground_state.tex: 100275 bytes, checksum: d9a0232acfd98ba9dd7519568cebf021 (MD5) ch_fluctuation.tex: 56748 bytes, checksum: 677f40ffad5772a70006a82072b9dcfe (MD5) ch_artificial_gauge.tex: 51698 bytes, checksum: 53d4ebdbaf0e3008304fb229f5ac2645 (MD5) ap_threecomponent.tex: 24041 bytes, checksum: 1d3a51fe96be721bc990fccbc1666826 (MD5) ap_meangreen.tex: 16978 bytes, checksum: 598e7ca405f6029ec4c649b66c6dc752 (MD5) ap_bosetmatrix.tex: 19856 bytes, checksum: acd10be18ee2bafbd76787d4a4651090 (MD5) acknowledgements.tex: 2931 bytes, checksum: 0e00ec7ec16c4aecd29e762c194b44c6 (MD5) abstract.tex: 2975 bytes, checksum: c8e1b45bce873624ef42d5418b851859 (MD5) Ozawa_Tomoki.tex: 3899 bytes, checksum: b4ca3553256807e0c9cbf58c68cd4338 (MD5) Ozawa_Tomoki.pdf: 4656660 bytes, checksum: 4e93d617f81dbc23fc5871d3ca92da1c (MD5)","Made available in DSpace on 2012-05-22T00:22:12Z (GMT). No. of bitstreams: 59 Ozawa_Tomoki.pdf: 4656660 bytes, checksum: 4e93d617f81dbc23fc5871d3ca92da1c (MD5) vortices_martin.eps: 438132 bytes, checksum: 3ce8c34267107d9c7f64f083dedf6f63 (MD5) visdissum2.eps: 330750 bytes, checksum: 141a485d2ffcdc02df620963d04ee6ab (MD5) two-slit.eps: 533986 bytes, checksum: 5dd1c23df31f1ff6a21984e3c75dbd1b (MD5) tmatrix_aaaa.eps: 503311 bytes, checksum: 13b6498897d6adc79770c4c31929480a (MD5) tc_crossover.eps: 19932 bytes, checksum: 564aed4b8da4cbcc141d695cf8dc1627 (MD5) t0meanfield_gap_nr.eps: 22704 bytes, checksum: 5cefe120c57179260ba699e6aa84e457 (MD5) su2_phases.eps: 249680 bytes, checksum: 91b45b7ca4e2997044f4994d5557a0c4 (MD5) su2_phases_closeto1.eps: 248238 bytes, checksum: fc66aaf61c0ec72ca5210e02e0156e6c (MD5) sigma_gamma_lines.eps: 48497 bytes, checksum: d03a2a4ea04ddacef79372222ea08f85 (MD5) rganomalous.eps: 26277 bytes, checksum: 78a043344bf2652de4951b291c90a283 (MD5) phase_diagram_rdm.eps: 341270 bytes, checksum: ecf2b1ec385dc137320cf44c146d025a (MD5) nex_improved_2.eps: 361698 bytes, checksum: a6f50026cf98d24ff5bf341da94952f9 (MD5) negative_eta05.eps: 130174 bytes, checksum: 5fb64a95ec7ff5f26584b45056c34ae7 (MD5) molecules.eps: 35377 bytes, checksum: 87206def802b7c7d7e2a4e42f64a7c13 (MD5) mean_phase_d.eps: 375950 bytes, checksum: 460a2dc37b63344b2bb06470e93eee25 (MD5) groundstate_eta099999.eps: 137472 bytes, checksum: 47d4ae328148363a335194b5d1607dc9 (MD5) groundstate_eta09995.eps: 148704 bytes, checksum: e1541adf1a392b2215efdc31d3bdb0b9 (MD5) groundstate_eta0999.eps: 148817 bytes, checksum: 1961a3baa47f33998a5bb7617d7628d1 (MD5) groundstate_eta075.eps: 145131 bytes, checksum: 7a4d9f2f71a558d9c914541db17775da (MD5) groundstate_eta050.eps: 153542 bytes, checksum: 626ca7f9ff14352830ef0329a29e167a (MD5) groundstate_eta025.eps: 158268 bytes, checksum: ecdd6f2d933712be8fc75e0d0c03ec1c (MD5) groundstate_eta1.eps: 120202 bytes, checksum: 26309f610d7b4cb1383dc6a1fb00ba1c (MD5) groundstate_eta00.eps: 133547 bytes, checksum: ad653b47bad390ed795326f6c1dae1b0 (MD5) gravitational_detector.eps: 360050 bytes, checksum: ed4c755a7239e962807ea6c3b829fe83 (MD5) gammapieta05.eps: 92465 bytes, checksum: f27dd4585991b255d3bf4be4b6cea543 (MD5) gamma0eta05_new4.eps: 1495795 bytes, checksum: 3ee328e9e37626fcdd219af3f64efab7 (MD5) fxgx0706.eps: 124070 bytes, checksum: 87938023f5fed29ced5e15cb4441f2fb (MD5) energy_2.eps: 348134 bytes, checksum: da6d4179d8e365fe0a66881276f856f7 (MD5) dyson_equation.eps: 41294 bytes, checksum: d3d2d98a204fd9989c353c4209ef5f8c (MD5) double_slit.eps: 291580 bytes, checksum: f21e07ee3cf0a833541a8fb32478cc97 (MD5) bcsbec.eps: 307814 bytes, checksum: bf0841f91d003c69ef6d6be515ad5f12 (MD5) bcsbec_vortices.eps: 4579690 bytes, checksum: 3f8eaa2b211458703c8564cd767bf734 (MD5) apparatus.eps: 274390 bytes, checksum: c2ea299162d393a4ad37e568dc192f2f (MD5) 2010_06_16_belowtc.eps: 148133 bytes, checksum: c1d984de9a41c90ec5e219cd81fe46af (MD5) vertex_ladder.pdf: 205238 bytes, checksum: 210341941a69c8eed4254f1047d6d2d0 (MD5) rashba_dispersion_isoc.pdf: 436488 bytes, checksum: 0885a2788cd29b7b066405db7f8fa0d8 (MD5) rashba_dispersion_anisoc.pdf: 387271 bytes, checksum: 7aa2e16161911e10f61900be279637db (MD5) double_slit_hitachi.pdf: 227651 bytes, checksum: 167658636ebdad992e789ebec6a8ecf0 (MD5) contour_matsubara.pdf: 128505 bytes, checksum: dc5a085ca19b25df3e4d5b48bcd1a03e (MD5) artificial_vortices.pdf: 661370 bytes, checksum: 7233628aa060cec7abc3033c8e02eba1 (MD5) thesis.bib: 56941 bytes, checksum: 9efafe605ff9a07b916adfa62ae26b85 (MD5) ch_threecomponent.tex: 48846 bytes, checksum: 327bb71dde3c3e79c0177b25705a5f9b (MD5) ch_scattering.tex: 75736 bytes, checksum: b07edb83db26f0ab957b5c4704dff76c (MD5) ch_renormalized.tex: 43069 bytes, checksum: 18c91f80417227059e5d9614a83a165e (MD5) ch_mean_coupling.tex: 43256 bytes, checksum: 0c4bd58fde6bbb264f9490560dad3c39 (MD5) ch_maketitle.tex: 1871 bytes, checksum: fbbd0a69363e1dfb866ded8168dbd0be (MD5) ch_introduction.tex: 25313 bytes, checksum: 973c890a729539554c63d2cfdbf9c3de (MD5) ch_interference.tex: 31982 bytes, checksum: e5440dbccad0fa3aa19600794abc89f4 (MD5) ch_ground_state.tex: 100275 bytes, checksum: d9a0232acfd98ba9dd7519568cebf021 (MD5) ch_fluctuation.tex: 56748 bytes, checksum: 677f40ffad5772a70006a82072b9dcfe (MD5) ch_artificial_gauge.tex: 51698 bytes, checksum: 53d4ebdbaf0e3008304fb229f5ac2645 (MD5) ap_threecomponent.tex: 24041 bytes, checksum: 1d3a51fe96be721bc990fccbc1666826 (MD5) ap_meangreen.tex: 16978 bytes, checksum: 598e7ca405f6029ec4c649b66c6dc752 (MD5) ap_bosetmatrix.tex: 19856 bytes, checksum: acd10be18ee2bafbd76787d4a4651090 (MD5) acknowledgements.tex: 2931 bytes, checksum: 0e00ec7ec16c4aecd29e762c194b44c6 (MD5) abstract.tex: 2975 bytes, checksum: c8e1b45bce873624ef42d5418b851859 (MD5) Ozawa_Tomoki.tex: 3899 bytes, checksum: b4ca3553256807e0c9cbf58c68cd4338 (MD5) license.txt: 4061 bytes, checksum: 0a4762eb20198c8e6b4a6fb44bba12f7 (MD5)"],"dc:identifier":["http://hdl.handle.net/2142/31021"],"dc:language":["en"],"dc:rights":["Copyright 2012 Tomoki Ozawa"],"dc:subject":["ultracold gas","artificial gauge field","multi-component fermion","double-slit interference"],"dc:title":["Topics in multi-component ultracold gases and gauge fields"],"dc:type":["text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:29Z"}