On the collective properties of quantum media

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 accou...

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Bibliographic Details
Published in:European physical journal plus 2023-01, Vol.138 (1), p.55, Article 55
Main Author: Ourabah, Kamel
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Atoms & subatomic particles
Bose-Einstein condensates
Bosons
Cold
Complex Systems
Condensed Matter Physics
Dark matter
Electrons
Elementary excitations
Fermions
Gravitation
Gravity
Lasers
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Pauli exclusion principle
Physics
Physics and Astronomy
Plasma
Regular Article
Representations
Theoretical
Theory of relativity
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Summary: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.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-022-03641-3