Abstract
AbstractA 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.
Funder
Istituto Nazionale di Fisica Nucleare
Gruppo Nazionale per la Fisica Matematica
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy,Fluid Flow and Transfer Processes
Reference32 articles.
1. H. Araki, Y. Munakata, M. Kawaguchi, T. Gotô, Quantum field theory of unstable particles. Prog. Theor. Phys. 17(3), 419–442 (1957)
2. V. Bach, J. Fröhlich, I.M. Sigal, Return to equilibrium. J. Math. Phys. 41, 3985 (2000)
3. A. Bohm,Rigged Hilbert space and quantum mechanics. Tech. rep. Texas Univ., Austin (USA). Center for Particle Theory (1974)
4. A. Bohm, M. Gadella, J.D. Dollard, Dirac Kets, Gamow Vectors and Gelfand Triplets: the Rigged Hilbert Space Formulation of Quantum Mechanics (Springer, Berlin, 1989)
5. H.-P. Breuer, F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press on Demand, Oxford, 2002)
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献