Cosmic Dynamics of Bose-Einstein Condensates

TL;DR

This paper establishes a mathematical analogy between the dynamics of Bose-Einstein condensates and certain cosmological models, enabling insights into cosmic evolution through quantum fluid experiments.

Contribution

It introduces a novel mapping between cosmological equations and Bose-Einstein condensate dynamics via the Ermakov system, linking physical parameters across both fields.

Findings

Identifies parameters of condensates with cosmological variables.

Determines trapping frequency for radiation-dominated universe.

Establishes a dynamical correspondence between two physical systems.

Abstract

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.