2007
DOI: 10.1103/physreve.76.031119
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Open system of interacting fermions: Statistical properties of cross sections and fluctuations

Abstract: Statistical properties of cross sections are studied for an open system of interacting fermions. The description is based on the effective non-Hermitian Hamiltonian that accounts for the existence of open decay channels preserving the unitarity of the scattering matrix. The intrinsic interaction is modelled by the two-body random ensemble of variable strength. In particular, the crossover region from isolated to overlapping resonances accompanied by the effect of the width redistribution creating super-radiant… Show more

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Cited by 42 publications
(70 citation statements)
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References 51 publications
(111 reference statements)
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“…There exist wellpronounced similarities and some differences between them and nuclear Ericson fluctuations [17]. Some aspects of this interrelation were studied in our previous work [18].…”
mentioning
confidence: 99%
“…There exist wellpronounced similarities and some differences between them and nuclear Ericson fluctuations [17]. Some aspects of this interrelation were studied in our previous work [18].…”
mentioning
confidence: 99%
“…Many results turn out to be common for nuclear physics and condensed matter physics of disordered materials [48]. Here I limit myself with few references [49][50][51][52][53][54][55][56].…”
Section: Resultsmentioning
confidence: 99%
“…Then, this approach becomes similar to those used in describing the so-called "superradiance transition" (ST) in systems in which the discrete (intrinsic) energy states interact with the continuum spectra [7,8,9,10,11,12]. In these systems, the ST usually occurs when the resonances start to overlap.…”
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confidence: 99%
“…For those sites which are not connected to sinks, the corresponding ET rates vanish. Under reasonable assumptions, this type of model can be described by an effective non-Hermitian Hamiltonian [2,3,4,5,6].Then, this approach becomes similar to those used in describing the so-called "superradiance transition" (ST) in systems in which the discrete (intrinsic) energy states interact with the continuum spectra [7,8,9,10,11,12]. In these systems, the ST usually occurs when the resonances start to overlap.…”
mentioning
confidence: 99%
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