Bose-Einstein condensation in an optical lattice

Journal Article · Thu Nov 15 04:00:00 EST 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.053620· OSTI ID:21028061

Blakie, P B ^[1]; Wenxin, Wang ^[1]

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1. Jack Dodd Centre for Photonics and Ultra Cold Atoms, Department of Physics, University of Otago, Dunedin (New Zealand)

In this paper we develop an analytic expression for the critical temperature for a gas of ideal bosons in a combined harmonic lattice potential, relevant to current experiments using optical lattices. We give corrections to the critical temperature arising from effective mass modifications of the low energy spectrum, finite size effects, and excited band states. We compute the critical temperature using numerical methods and compare to our analytic result. We study condensation in an optical lattice over a wide parameter regime and demonstrate that the critical temperature can be increased or reduced relative to the purely harmonic case by adjusting the harmonic trap frequency. We show that a simple numerical procedure based on a piecewise analytic density of states provides an accurate prediction for the critical temperature.

• OSTI ID: 21028061
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 76; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN CONDENSATION
BOSONS
COMPARATIVE EVALUATIONS
CORRECTIONS
CRITICAL TEMPERATURE
EFFECTIVE MASS
ENERGY SPECTRA
EXCITED STATES
FORECASTING
LATTICE FIELD THEORY
MODIFICATIONS
POTENTIALS
TRAPS