{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/80589"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/80589","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Interacting Ultracold Alkali Atomic Fermion Gases and Radio-Frequency Spectroscopy","abstract":"The last chapter focuses on radio-frequency spectroscopy of multi component fermion gases. Rf experiments of 6Li and 40K are first reviewed. We show that rf experiments essentially measure spin correlation functions, and internal symmetries of the interparticle interactions constrain the rf spectrum through sum rules. We self-consistently generate the spin correlation functions for 6Li within Hartree-Fock-BCS approximation. Our calculation reproduces the mean field shift observed in experiments for normal gases, and confirms that a second peak detected at higher frequencies in the rf spectrum at sufficiently low temperatures arises from paired fermions. We define a mean frequency shift by the sum rules, and show that it is proportional to the square of BCS pairing gap. The discrepancy between the mean shift and the peak frequency shift observed in experiment for the condensed phase lies in the broad width of the rf spectrum function.","abstract_html":"The last chapter focuses on radio-frequency spectroscopy of multi component fermion gases. Rf experiments of 6Li and 40K are first reviewed. We show that rf experiments essentially measure spin correlation functions, and internal symmetries of the interparticle interactions constrain the rf spectrum through sum rules. We self-consistently generate the spin correlation functions for 6Li within Hartree-Fock-BCS approximation. Our calculation reproduces the mean field shift observed in experiments for normal gases, and confirms that a second peak detected at higher frequencies in the rf spectrum at sufficiently low temperatures arises from paired fermions. We define a mean frequency shift by the sum rules, and show that it is proportional to the square of BCS pairing gap. The discrepancy between the mean shift and the peak frequency shift observed in experiment for the condensed phase lies in the broad width of the rf spectrum function.","abstract_has_math":false,"creators":["Yu, Zhenhua"],"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."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:03:11Z","date_published":"2015-09-25T20:03:11Z","updated_at":"2026-07-22T22:26:14Z","subjects":["Physics, Condensed Matter"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3337981"],"render_values":[{"text":"(MiAaPQ)AAI3337981","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/80589","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Baym, Gordon A."]},{"key":"dc:creator","label":"Author","values":["Yu, Zhenhua"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:03:11Z","10000-01-01","2008"]},{"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":["Physics, Condensed Matter"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/80589","(MiAaPQ)AAI3337981"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The last chapter focuses on radio-frequency spectroscopy of multi component fermion gases. Rf experiments of 6Li and 40K are first reviewed. We show that rf experiments essentially measure spin correlation functions, and internal symmetries of the interparticle interactions constrain the rf spectrum through sum rules. We self-consistently generate the spin correlation functions for 6Li within Hartree-Fock-BCS approximation. Our calculation reproduces the mean field shift observed in experiments for normal gases, and confirms that a second peak detected at higher frequencies in the rf spectrum at sufficiently low temperatures arises from paired fermions. We define a mean frequency shift by the sum rules, and show that it is proportional to the square of BCS pairing gap. The discrepancy between the mean shift and the peak frequency shift observed in experiment for the condensed phase lies in the broad width of the rf spectrum function.","Made available in DSpace on 2015-09-25T20:03:11Z (GMT). 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We show that rf experiments essentially measure spin correlation functions, and internal symmetries of the interparticle interactions constrain the rf spectrum through sum rules. We self-consistently generate the spin correlation functions for 6Li within Hartree-Fock-BCS approximation. Our calculation reproduces the mean field shift observed in experiments for normal gases, and confirms that a second peak detected at higher frequencies in the rf spectrum at sufficiently low temperatures arises from paired fermions. We define a mean frequency shift by the sum rules, and show that it is proportional to the square of BCS pairing gap. The discrepancy between the mean shift and the peak frequency shift observed in experiment for the condensed phase lies in the broad width of the rf spectrum function.","Made available in DSpace on 2015-09-25T20:03:11Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3337981.pdf: 5619158 bytes, checksum: 406578e9d1fc219c39105d05093f8ed3 (MD5) Previous issue date: 2008","Embargo set by: Seth Robbins for item 81871 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs","U of I Only","132 p.","Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008."],"dc:identifier":["http://hdl.handle.net/2142/80589","(MiAaPQ)AAI3337981"],"dc:language":["eng"],"dc:subject":["Physics, Condensed Matter"],"dc:title":["Interacting Ultracold Alkali Atomic Fermion Gases and Radio-Frequency Spectroscopy"],"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":"2026-07-22T22:26:14Z"}