Analogue model of a FRW universe in Bose-Einstein condensates: Application of the classical field method

Abstract

Analogue 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 analogue 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.

26 pages, 8 figures

References in corpus (5)

• Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
• Quantum simulation of cosmic inflation in two-component Bose-Einstein condensates
• "Cosmological" quasiparticle production in harmonically trapped superfluid gases
• Observer dependence for the phonon content of the sound field living on the effective curved space-time background of a Bose-Einstein condensate
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Cited by in corpus (4)

• Numerical observation of Hawking radiation from acoustic black holes in atomic Bose-Einstein condensates
• Bounding the greybody factors for Schwarzschild black holes
• Trans-Planckian physics and signature change events in Bose gas hydrodynamics
• Emergent spacetimes