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On the collective properties of quantum media

2022/09/12 by Kamel Ourabah, Ourabah, Kamel · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Cosmology and Gravitation Theories #FOS: Physical sciences #Quantum Electrodynamics and Casimir Effect #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2209.06110

openalex publication_date 2022/09/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the hydrodynamic representation of a wide class of quantum media exhibiting similar elementary excitations and dispersion properties. The representation covers quantum systems characterized by any type of (long-range) self-interaction, associated with an arbitrary potential. It also accounts for possible nonlinearities, which may arise e.g., due to short-range interactions (collisions) in the case of bosons, or from the Pauli exclusion principle for fermions. The approach equally applies to various physical scenarios, such as self-gravitating quantum media (e.g., dark matter), quantum plasmas, Bose-Einstein condensates, and non-condensed cold atomic clouds. We discuss the formal analogies that can be drawn between these different systems and how they can be used to realize laboratory experiments emulating gravitational phenomena, especially in the context of alternative theories of gravity. To substantiate our point, we elaborate more closely on the case of non-minimal matter-curvature coupling gravity theories.

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