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Classical region of a trapped Bose gas

P Blair Blakie1 and Matthew J Davis2

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The classical region of a Bose gas consists of all single particle modes that have a high average occupation and are well described by a classical field. Highly occupied modes only occur in massive Bose gases at ultra-cold temperatures, in contrast to the photon case where there are highly occupied modes at all temperatures. For the Bose gas the number of these modes is dependent on the temperature, the total number of particles and their interaction strength. In this paper, we characterize the classical region of a harmonically trapped Bose gas over a wide parameter regime. We use a Hartree–Fock approach to account for the effects of interactions, which we observe to significantly change the classical region as compared to the idealized case. We compare our results to full classical field calculations and show that the Hartree–Fock approach provides a qualitatively accurate description of a classical region for the interacting gas.


PACS

05.30.Jp Boson systems

03.75.Kk Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow

37.10.De Atom cooling methods

Subjects

Atomic and molecular physics

Quantum gases, liquids and solids

Statistical physics and nonlinear systems

Dates

Issue 11 (14 June 2007)

Received 16 March 2007, in final form 18 April 2007

Published 18 May 2007



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