Cosmic Dynamics of Bose-Einstein Condensates

Details Cosmic Dynamics of Bose-Einstein Condensates Cosmic Dynamics of Bose-Einstein Condensates

2003-07-09

arxiv.org/abs/gr-qc/0307037v2

Class.Quant.Grav. 21 (2004) 777-786

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, no figures. Extended discussion. In Press, Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/21/4/002

A dynamical correspondence is established between positively curved, isotropic, perfect fluid cosmologies and quasi-two-dimensional, harmonically trapped Bose-Einstein condensates by mapping the equations of motion for both systems onto the one-dimensional Ermakov system. Parameters that characterize the physical properties of the condensate wavepacket, such as its width, momentum and energy, may be identified with the scale factor, Hubble expansion parameter and energy density of the universe, respectively. Different forms of cosmic matter correspond to different choices for the time-dependent trapping frequency of the condensate. The trapping frequency that mimics a radiation-dominated universe is determined.

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