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
2019-01-01
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.File in questo prodotto:
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