Superfluidity and binary correlations within clusters of fermions

Superfluidity and binary correlations within clusters of fermions

We propose a method for simulating the behaviour of small clusters of particles that explicitly accounts for all mean-field and binary-correlation effects. Our approach leads to a set of variational equations that can be used to study both the dynamics and thermodynamics of these clusters. As an ill...

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Veröffentlicht in:Journal of physics. B, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2006-04, Vol.39 (8), p.1965-1974
Hauptverfasser: Milstein, J N, Burnett, K
Format: Artikel
Sprache:eng
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Classical and quantum physics: mechanics and fields
Exact sciences and technology
Fermion systems and electron gas
Matter waves
Physics
Quantum statistical mechanics
Statistical physics, thermodynamics, and nonlinear dynamical systems
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container_end_page 1974
container_issue 8
container_start_page 1965
container_title Journal of physics. B, Atomic, molecular, and optical physics
container_volume 39
creator Milstein, J N
Burnett, K
description We propose a method for simulating the behaviour of small clusters of particles that explicitly accounts for all mean-field and binary-correlation effects. Our approach leads to a set of variational equations that can be used to study both the dynamics and thermodynamics of these clusters. As an illustration of this method, we explore the BCS-BEC crossover in the simple model of four fermions, interacting with finite-range potentials, in a harmonic potential. We find, in the crossover regime, that the particles prefer to occupy two distinct pair states as opposed to the one assumed by BCS theory.
doi_str_mv 10.1088/0953-4075/39/8/014
format Article
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subjects Classical and quantum physics: mechanics and fields
Exact sciences and technology
Fermion systems and electron gas
Matter waves
Physics
Quantum statistical mechanics
Statistical physics, thermodynamics, and nonlinear dynamical systems
title Superfluidity and binary correlations within clusters of fermions
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