The self-energy of Friedrichs–Lee models and its application to bound states and resonances

Lonigro D (2022)

Publication Type: Journal article

Publication year: 2022

Journal

European Physical Journal Plus Springer Science + Business Media

Book Volume: 137

Article Number: 492

Journal Issue: 4

DOI: 10.1140/epjp/s13360-022-02690-y

Abstract

A system composed of two-level systems interacting with a single excitation of a one-dimensional boson field with continuous spectrum, described by a Friedrichs (or Friedrichs–Lee) model, can exhibit bound states and resonances; the latter can be characterized by computing the so-called self-energy of the model. We evaluate an analytic expression, valid for a large class of dispersion relations and coupling functions, for the self-energy of such models. Afterwards, we focus on the case of identical two-level systems, and we refine our analysis by distinguishing between dominant and suppressed contributions to the associated self-energy; we finally examine the phenomenology of bound states in the presence of a single dominant contribution.

Authors with CRIS profile

Davide Lonigro

Involved external institutions

University of Bari Aldo Moro / Università degli Studi di Bari Aldo Moro IT Italy (IT)

How to cite

APA:

Lonigro, D. (2022). The self-energy of Friedrichs–Lee models and its application to bound states and resonances. European Physical Journal Plus, 137(4). https://doi.org/10.1140/epjp/s13360-022-02690-y

MLA:

Lonigro, Davide. "The self-energy of Friedrichs–Lee models and its application to bound states and resonances." European Physical Journal Plus 137.4 (2022).

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