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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Bibliographic Details
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
Description
Summary: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.
ISSN:2504-3900

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