Analog model of a Friedmann-Robertson-Walker universe in Bose-Einstein condensates: Application of the classical field method

Journal Article · Sat Sep 15 04:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.033616· OSTI ID:21020566

Jain, Piyush; Weinfurtner, Silke; Visser, Matt; Gardiner, C W ^[1]

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1. School of Chemical and Physical Sciences, Victoria University of Wellington (New Zealand)

Analog models of gravity have been motivated by the possibility of investigating phenomena not readily accessible in their cosmological counterparts. In this paper, we investigate the analog of cosmological particle creation in a Friedmann-Robertson-Walker universe by numerically simulating a Bose-Einstein condensate with a time-dependent scattering length. In particular, we focus on a two-dimensional homogeneous condensate using the classical field method via the truncated Wigner approximation. We show that for various forms of the scaling function the particle production is consistent with the underlying theory in the long wavelength limit. In this context, we further discuss the implications of modified dispersion relations that arise from the microscopic theory of a weakly interacting Bose gas.

• OSTI ID: 21020566
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 76; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
COSMOLOGY
DISPERSION RELATIONS
GRAVITATION
PARTICLE PRODUCTION
QUANTUM GRAVITY
SCATTERING LENGTHS
SIMULATION
TIME DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS
WAVELENGTHS
WEAK INTERACTIONS
WIGNER DISTRIBUTION