{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/95487"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/95487","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A computational electromagnetic framework for waveguide quantum electrodynamics","abstract":"In this thesis, a framework for cavity and waveguide quantum electrodynamic (CQED, and WQED, respectively) problems is presented. The essence of this framework is to use the dyadic Green's function (DGF) to obtain the local density of states (LDOS) and radiative shift of a two-level system (TLS) embedded in an arbitrary electromagnetic continuum. The dressed states of the system are also found using a method of direct diagonalization of operators. The physics and essential features of the dressed states are related to the DGF. The dynamics of the system are solved in connection with the resolvent formalism of quantum scattering theory. The work presented here represent the first attempts in this important topic of study. This thesis accomplishes the full solution of the problem of a two-level atom coupled to arbitrary lossless electromagnetic environments. The cases of transmission line, hollow rectangular waveguide and free space are considered. At the same time, an attempt to gather much of the required background for this highly interdisciplinary topic is made, in particular, the quantization of an arbitrary lossless waveguide is presented in detail, which to the best of our knowledge, has not appeared in the literature. More detailed investigations will follow in a Ph.D. dissertation.","abstract_html":"In this thesis, a framework for cavity and waveguide quantum electrodynamic (CQED, and WQED, respectively) problems is presented. The essence of this framework is to use the dyadic Green's function (DGF) to obtain the local density of states (LDOS) and radiative shift of a two-level system (TLS) embedded in an arbitrary electromagnetic continuum. The dressed states of the system are also found using a method of direct diagonalization of operators. The physics and essential features of the dressed states are related to the DGF. The dynamics of the system are solved in connection with the resolvent formalism of quantum scattering theory. The work presented here represent the first attempts in this important topic of study. This thesis accomplishes the full solution of the problem of a two-level atom coupled to arbitrary lossless electromagnetic environments. The cases of transmission line, hollow rectangular waveguide and free space are considered. At the same time, an attempt to gather much of the required background for this highly interdisciplinary topic is made, in particular, the quantization of an arbitrary lossless waveguide is presented in detail, which to the best of our knowledge, has not appeared in the literature. More detailed investigations will follow in a Ph.D. dissertation.","abstract_has_math":false,"creators":["Liu, Aiyin"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Electrical & Computer Engr","degree_department":null,"school":null,"contributors":["Chew, Weng C."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2017,"date_issued":"2017-03-01T16:36:57Z","date_published":"2017-03-01T16:36:57Z","updated_at":"2026-07-22T22:26:37Z","subjects":["Computational Electromagnetics","Waveguide Quantumelectrodynamics","Dyadic Green's Function"],"languages":["en"],"rights":["Copyright 2016 Aiyin Liu"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/95487","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Chew, Weng C."]},{"key":"dc:creator","label":"Author","values":["Liu, Aiyin"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2017-03-01T16:36:57Z","2019-03-02T10:15:14Z","2016-11-29","2016-12"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical & Computer Engr"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"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":["Computational Electromagnetics","Waveguide Quantumelectrodynamics","Dyadic Green's Function"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2016 Aiyin Liu"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/95487"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In this thesis, a framework for cavity and waveguide quantum electrodynamic (CQED, and WQED, respectively) problems is presented. The essence of this framework is to use the dyadic Green's function (DGF) to obtain the local density of states (LDOS) and radiative shift of a two-level system (TLS) embedded in an arbitrary electromagnetic continuum. The dressed states of the system are also found using a method of direct diagonalization of operators. The physics and essential features of the dressed states are related to the DGF. The dynamics of the system are solved in connection with the resolvent formalism of quantum scattering theory. The work presented here represent the first attempts in this important topic of study. This thesis accomplishes the full solution of the problem of a two-level atom coupled to arbitrary lossless electromagnetic environments. The cases of transmission line, hollow rectangular waveguide and free space are considered. At the same time, an attempt to gather much of the required background for this highly interdisciplinary topic is made, in particular, the quantization of an arbitrary lossless waveguide is presented in detail, which to the best of our knowledge, has not appeared in the literature. More detailed investigations will follow in a Ph.D. dissertation.","Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2018-12-01","The student, Aiyin Liu, accepted the attached license on 2016-11-28 at 10:39.","The student, Aiyin Liu, submitted this Thesis for approval on 2016-11-28 at 10:44.","This Thesis was approved for publication on 2016-11-29 at 14:48.","DSpace SAF Submission Ingestion Package generated from Vireo submission #10331 on 2017-02-28 at 14:36:49","Made available in DSpace on 2017-03-01T16:36:57Z (GMT). No. of bitstreams: 2 LIU-THESIS-2016.pdf: 19229100 bytes, checksum: 875b968a8ade84c8ad8872f433f7dcfb (MD5) LICENSE.txt: 4206 bytes, checksum: bfb4e0b3a3e9ae54f82c904bdaf04a50 (MD5) Previous issue date: 2016-11-29","Embargo set by: Seth Robbins for item 98603 Lift date: 2019-03-01T16:37:19Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system","U of I Only Restriction Lifted for Item 98603 on 2019-03-02T10:15:14Z."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["A computational electromagnetic framework for waveguide quantum electrodynamics"]}]}],"canonical_facts":{"dc:contributor":["Chew, Weng C."],"dc:creator":["Liu, Aiyin"],"dc:date":["2017-03-01T16:36:57Z","2019-03-02T10:15:14Z","2016-11-29","2016-12"],"dc:description":["In this thesis, a framework for cavity and waveguide quantum electrodynamic (CQED, and WQED, respectively) problems is presented. The essence of this framework is to use the dyadic Green's function (DGF) to obtain the local density of states (LDOS) and radiative shift of a two-level system (TLS) embedded in an arbitrary electromagnetic continuum. The dressed states of the system are also found using a method of direct diagonalization of operators. The physics and essential features of the dressed states are related to the DGF. The dynamics of the system are solved in connection with the resolvent formalism of quantum scattering theory. The work presented here represent the first attempts in this important topic of study. This thesis accomplishes the full solution of the problem of a two-level atom coupled to arbitrary lossless electromagnetic environments. The cases of transmission line, hollow rectangular waveguide and free space are considered. At the same time, an attempt to gather much of the required background for this highly interdisciplinary topic is made, in particular, the quantization of an arbitrary lossless waveguide is presented in detail, which to the best of our knowledge, has not appeared in the literature. More detailed investigations will follow in a Ph.D. dissertation.","Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2018-12-01","The student, Aiyin Liu, accepted the attached license on 2016-11-28 at 10:39.","The student, Aiyin Liu, submitted this Thesis for approval on 2016-11-28 at 10:44.","This Thesis was approved for publication on 2016-11-29 at 14:48.","DSpace SAF Submission Ingestion Package generated from Vireo submission #10331 on 2017-02-28 at 14:36:49","Made available in DSpace on 2017-03-01T16:36:57Z (GMT). No. of bitstreams: 2 LIU-THESIS-2016.pdf: 19229100 bytes, checksum: 875b968a8ade84c8ad8872f433f7dcfb (MD5) LICENSE.txt: 4206 bytes, checksum: bfb4e0b3a3e9ae54f82c904bdaf04a50 (MD5) Previous issue date: 2016-11-29","Embargo set by: Seth Robbins for item 98603 Lift date: 2019-03-01T16:37:19Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system","U of I Only Restriction Lifted for Item 98603 on 2019-03-02T10:15:14Z."],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/2142/95487"],"dc:language":["en"],"dc:rights":["Copyright 2016 Aiyin Liu"],"dc:subject":["Computational Electromagnetics","Waveguide Quantumelectrodynamics","Dyadic Green's Function"],"dc:title":["A computational electromagnetic framework for waveguide quantum electrodynamics"],"dc:type":["text"],"thesis:degree_discipline":["Electrical & Computer Engr"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["M.S."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:37Z"}