Analog model for Euclidean wormholes: Bose-Einstein condensate with dirty surfaces

TL;DR

This paper models a Bose-Einstein condensate with surface disorder as an analog for Euclidean wormholes, revealing non-local effects and their impact on Casimir pressure.

Contribution

It introduces a novel analog model of Euclidean wormholes using disordered Bose-Einstein condensates with non-local interactions.

Findings

Non-local terms arise from random surface fields.

The model predicts modifications to Casimir pressure due to non-local effects.

The approach links condensed matter physics with quantum gravity concepts.

Abstract

We study a Bose-Einstein condensate under the effects of the non-condensate atomic cloud. We model the resulting linear interaction of the condensate with the atomic gas as a quenched disorder. Using the distributional zeta function method, we obtain a representation for the quenched free energy as a series of integral moments of the partition function. Assuming that the Bose-Einstein condensate is confined between two planar surfaces, we show that random surface fields generate non-local terms in the effective action. The non-local effects in this condensed matter system define an analog model of a Euclidean wormhole. The leading contribution of the non-local interactions to the Casimir pressure is obtained.