Analogue Cosmological Particle Creation: Quantum Correlations in Expanding Bose Einstein Condensates

Understand

We investigate the structure of quantum correlations in an expanding Bose Einstein Condensate (BEC) through the analogue gravity framework.

• We consider both a 3+1 isotropically expanding BEC as well as the experimentally relevant case of an elongated, effectively 1+1 dimensional, expanding condensate.
• In this case we include the effects of inhomogeneities in the condensate, a feature rarely included in the analogue gravity literature.
• In both cases we link the BEC expansion to a simple model for an expanding spacetime and then study the correlation structure numerically and analytically (in suitable approximations).