Quantum rearrangement and self-consistent BCS-BEC crossover thermodynamics

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dc.creatorChen, Ji-sheng
dc.creatorCheng, Chuan-ming
dc.creatorLi, Jia-rong
dc.creatorWang, Yan-ping
dc.date2007-02-24
dc.date2007-08-02
dc.date.accessioned2026-07-07T11:01:23Z
dc.date.available2026-07-07T11:01:23Z
dc.descriptionBased on previous works, analytical calculational procedures for dealing with the strongly interacting fermions ground state are further developed through a medium dependent potential in terms of the Bethe-Peierls contact interaction model. The methods are exact in the unitary limit regime and they lead to the self-consistent equations analogous to the Hartree ones. The single particle energy spectrum rearrangement effects on the thermodynamics due to the Hugenholtz-van Hove theorem constraint are addressed. These effects lead to an additional instantaneous correlation potential contribution to the system physical chemical potential and pressure, i.e., equation of state, which enforces the classical thermodynamic consistency. The Dyson-Schwinger equations represent implicitly the various Bethe-Goldstone expansion ones. In a thermodynamically self-consistent way, the universal dimensionless factor is analytically calculated to be $ξ=\049$, which defines the ratio of the unitary fermions energy density to that of the ideal non-interacting ones at T=0.
dc.descriptionpublished version revised according to comments; a few typos fixed and references updated
dc.identifierhttps://arxiv.org/abs/cond-mat/0702569
dc.identifierhttp://arxiv.org/abs/cond-mat/0702569
dc.identifierPhys.Rev.A76:033617,2007
dc.identifierdoi:10.1103/PhysRevA.76.033617
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187935
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.subjectQuantum Physics
dc.titleQuantum rearrangement and self-consistent BCS-BEC crossover thermodynamics
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