The Friedrichs-Lee Model and Its Singular Coupling Limit

The Friedrichs-Lee Model and Its Singular Coupling Limit

Lee’s field-theoretical model describes the interaction between a qubit and a structured bosonic field. We study the mathematical properties of the Hamiltonian of the single-excitation sector of the theory, including a possibly “singular” qubit-field coupling (i.e., mediated by a non-square integrab...

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Main Authors: Davide Lonigro, Paolo Facchi, Marilena Ligabò
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Proceedings
Subjects:
Friedrichs-Lee model
singular coupling
quantum field theory
solvable models
Online Access:https://www.mdpi.com/2504-3900/12/1/17
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spelling doaj-572dd5a8f39744819261c5b72540b0f92020-11-24T23:55:37ZengMDPI AGProceedings2504-39002019-06-011211710.3390/proceedings2019012017proceedings2019012017The Friedrichs-Lee Model and Its Singular Coupling LimitDavide Lonigro0Paolo Facchi1Marilena Ligabò2Dipartimento di Fisica and MECENAS, Università di Bari, I-70126 Bari, ItalyDipartimento di Fisica and MECENAS, Università di Bari, I-70126 Bari, ItalyDipartimento di Matematica, Università di Bari, I-70125 Bari, ItalyLee’s field-theoretical model describes the interaction between a qubit and a structured bosonic field. We study the mathematical properties of the Hamiltonian of the single-excitation sector of the theory, including a possibly “singular” qubit-field coupling (i.e., mediated by a non-square integrable form factor). This result allows for a rigorous description of qubit-field interactions in many physically interesting systems and may be extended to higher-excitation sectors of the theory.https://www.mdpi.com/2504-3900/12/1/17Friedrichs-Lee modelsingular couplingquantum field theorysolvable models
collection DOAJ
language English
format Article
sources DOAJ
author Davide Lonigro
Paolo Facchi
Marilena Ligabò
spellingShingle Davide Lonigro
Paolo Facchi
Marilena Ligabò
The Friedrichs-Lee Model and Its Singular Coupling Limit
Proceedings
Friedrichs-Lee model
singular coupling
quantum field theory
solvable models
author_facet Davide Lonigro
Paolo Facchi
Marilena Ligabò
author_sort Davide Lonigro
title The Friedrichs-Lee Model and Its Singular Coupling Limit
title_short The Friedrichs-Lee Model and Its Singular Coupling Limit
title_full The Friedrichs-Lee Model and Its Singular Coupling Limit
title_fullStr The Friedrichs-Lee Model and Its Singular Coupling Limit
title_full_unstemmed The Friedrichs-Lee Model and Its Singular Coupling Limit
title_sort friedrichs-lee model and its singular coupling limit
publisher MDPI AG
series Proceedings
issn 2504-3900
publishDate 2019-06-01
description Lee’s field-theoretical model describes the interaction between a qubit and a structured bosonic field. We study the mathematical properties of the Hamiltonian of the single-excitation sector of the theory, including a possibly “singular” qubit-field coupling (i.e., mediated by a non-square integrable form factor). This result allows for a rigorous description of qubit-field interactions in many physically interesting systems and may be extended to higher-excitation sectors of the theory.
topic Friedrichs-Lee model
singular coupling
quantum field theory
solvable models
url https://www.mdpi.com/2504-3900/12/1/17
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AT marilenaligabo thefriedrichsleemodelanditssingularcouplinglimit
AT davidelonigro friedrichsleemodelanditssingularcouplinglimit
AT paolofacchi friedrichsleemodelanditssingularcouplinglimit
AT marilenaligabo friedrichsleemodelanditssingularcouplinglimit
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