{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/105608"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/105608","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A systematic computational study of cavity and waveguide quantum electrodynamics","abstract":"In this thesis, a computational electromagnetics framework for cavity and waveguide quantum electrodynamics (CQED and WQED, respectively) is presented. By utilizing the classical dyadic Green's function, the quantum many body problem of multiple atoms interacting with an arbitrary lossless electromagnetic environment is reduced to a computationally manageable size. The resulting semi-analytical formulation solves the atomic dynamics using dressed states of the atoms and electromagnetic fields. Numerical examples are given to benchmark the formulation. In particular, the existence of atom-photon bound states in electromagnetic environments with peculiar density of state structure is predicted, and their physics are studied. Both rotating-wave and counter-rotating-wave interactions are considered, although the formulation for the latter case is confined to one dimension due to its complexity. Losses introduced by an oscillator bath are also considered; however, due to time constraints, they were not included in the final formulation.","abstract_html":"In this thesis, a computational electromagnetics framework for cavity and waveguide quantum electrodynamics (CQED and WQED, respectively) is presented. By utilizing the classical dyadic Green's function, the quantum many body problem of multiple atoms interacting with an arbitrary lossless electromagnetic environment is reduced to a computationally manageable size. The resulting semi-analytical formulation solves the atomic dynamics using dressed states of the atoms and electromagnetic fields. Numerical examples are given to benchmark the formulation. In particular, the existence of atom-photon bound states in electromagnetic environments with peculiar density of state structure is predicted, and their physics are studied. Both rotating-wave and counter-rotating-wave interactions are considered, although the formulation for the latter case is confined to one dimension due to its complexity. Losses introduced by an oscillator bath are also considered; however, due to time constraints, they were not included in the final formulation.","abstract_has_math":false,"creators":["Liu, Aiyin"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical & Computer Engr","degree_department":null,"school":null,"contributors":["Chew, Weng C","Eden, James G","Fang, Kejie","Kudeki, Erhan"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019-11-26T20:33:42Z","date_published":"2019-11-26T20:33:42Z","updated_at":"2026-07-22T22:24:44Z","subjects":["CEM, Quantum electrodynamics"],"languages":["en"],"rights":["Copyright 2019 Aiyin Liu"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/105608","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Chew, Weng C","Eden, James G","Fang, Kejie","Kudeki, Erhan"]},{"key":"dc:creator","label":"Author","values":["Liu, Aiyin"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2019-11-26T20:33:42Z","2019-06-26","2019-08"]},{"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":["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":["CEM, Quantum electrodynamics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2019 Aiyin Liu"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/105608"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In this thesis, a computational electromagnetics framework for cavity and waveguide quantum electrodynamics (CQED and WQED, respectively) is presented. By utilizing the classical dyadic Green's function, the quantum many body problem of multiple atoms interacting with an arbitrary lossless electromagnetic environment is reduced to a computationally manageable size. The resulting semi-analytical formulation solves the atomic dynamics using dressed states of the atoms and electromagnetic fields. Numerical examples are given to benchmark the formulation. In particular, the existence of atom-photon bound states in electromagnetic environments with peculiar density of state structure is predicted, and their physics are studied. Both rotating-wave and counter-rotating-wave interactions are considered, although the formulation for the latter case is confined to one dimension due to its complexity. Losses introduced by an oscillator bath are also considered; however, due to time constraints, they were not included in the final formulation.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2019-11-26 without embargo terms","The student, Aiyin Liu, accepted the attached license on 2019-06-25 at 11:20.","The student, Aiyin Liu, submitted this Dissertation for approval on 2019-06-25 at 11:21.","This Dissertation was approved for publication on 2019-06-26 at 09:19.","DSpace SAF Submission Ingestion Package generated from Vireo submission #14050 on 2019-11-26 at 12:49:53","Made available in DSpace on 2019-11-26T20:33:42Z (GMT). No. of bitstreams: 3 LIU-DISSERTATION-2019.pdf: 9899954 bytes, checksum: 58ff0e917aca84c41049f3c04457ae3f (MD5) LICENSE.txt: 4206 bytes, checksum: d720bb7f44028e23d8eeda44417b6276 (MD5) PROQUEST_LICENSE.txt: 4552 bytes, checksum: c1a7cc0a78ad7387ffe4b5bf7449cded (MD5) Previous issue date: 2019-06-26"]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["A systematic computational study of cavity and waveguide quantum electrodynamics"]}]}],"canonical_facts":{"dc:contributor":["Chew, Weng C","Eden, James G","Fang, Kejie","Kudeki, Erhan"],"dc:creator":["Liu, Aiyin"],"dc:date":["2019-11-26T20:33:42Z","2019-06-26","2019-08"],"dc:description":["In this thesis, a computational electromagnetics framework for cavity and waveguide quantum electrodynamics (CQED and WQED, respectively) is presented. By utilizing the classical dyadic Green's function, the quantum many body problem of multiple atoms interacting with an arbitrary lossless electromagnetic environment is reduced to a computationally manageable size. The resulting semi-analytical formulation solves the atomic dynamics using dressed states of the atoms and electromagnetic fields. Numerical examples are given to benchmark the formulation. In particular, the existence of atom-photon bound states in electromagnetic environments with peculiar density of state structure is predicted, and their physics are studied. Both rotating-wave and counter-rotating-wave interactions are considered, although the formulation for the latter case is confined to one dimension due to its complexity. Losses introduced by an oscillator bath are also considered; however, due to time constraints, they were not included in the final formulation.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2019-11-26 without embargo terms","The student, Aiyin Liu, accepted the attached license on 2019-06-25 at 11:20.","The student, Aiyin Liu, submitted this Dissertation for approval on 2019-06-25 at 11:21.","This Dissertation was approved for publication on 2019-06-26 at 09:19.","DSpace SAF Submission Ingestion Package generated from Vireo submission #14050 on 2019-11-26 at 12:49:53","Made available in DSpace on 2019-11-26T20:33:42Z (GMT). No. of bitstreams: 3 LIU-DISSERTATION-2019.pdf: 9899954 bytes, checksum: 58ff0e917aca84c41049f3c04457ae3f (MD5) LICENSE.txt: 4206 bytes, checksum: d720bb7f44028e23d8eeda44417b6276 (MD5) PROQUEST_LICENSE.txt: 4552 bytes, checksum: c1a7cc0a78ad7387ffe4b5bf7449cded (MD5) Previous issue date: 2019-06-26"],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/2142/105608"],"dc:language":["en"],"dc:rights":["Copyright 2019 Aiyin Liu"],"dc:subject":["CEM, Quantum electrodynamics"],"dc:title":["A systematic computational study of cavity and waveguide quantum electrodynamics"],"dc:type":["text"],"thesis:degree_discipline":["Electrical & Computer Engr"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:24:44Z"}