Lee’sfield-theoreticalmodeldescribestheinteractionbetweenaqubitandastructured 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.

The Friedrichs-Lee Model and Its Singular Coupling Limit

Lonigro, Davide;Facchi, Paolo;Ligabò, Marilena
2019

Abstract

Lee’sfield-theoreticalmodeldescribestheinteractionbetweenaqubitandastructured 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/243847
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