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

2024/12/15 by Isaque P. de Freitas, de Freitas, Isaque P., N. F. Svaiter +3 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Cosmology and Gravitation Theories #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2412.11204

openalex publication_date 2024/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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