2007/05/15 by Piyush Jain, Silke Weinfurtner, Matt Visser +1 · 140 citations
Mathematics · Physics and Astronomy · #Bose–Einstein condensate #Classical mechanics #Context (archaeology) #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Field (mathematics) #Friedmann–Lemaître–Robertson–Walker metric #Mathematics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Theoretical physics #Universe #cond-mat.other #gr-qc
paper · pdf · doi:10.1103/physreva.76.033616
published in Physical Review A 76(3) (American Physical Society) · 26 pages, 8 figures
arxiv created 2007/05/15 · openalex publication_date 2007/09/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.