Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-05-15
Phys. Rev. A 76, 033616 (2007)
Physics
Condensed Matter
Other Condensed Matter
26 pages, 8 figures
Scientific paper
10.1103/PhysRevA.76.033616
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.
Gardiner C. W.
Jain Piyush
Visser Matt
Weinfurtner Silke
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