Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2005-11-17
Physics
Condensed Matter
Other Condensed Matter
Scientific paper
10.1088/0953-4075/39/8/014
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.
Burnett Keith
Milstein J. N.
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