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Gravitational dynamics in Bose Einstein condensates

FLORIAN GIRELLI
•
Liberati, Stefano
•
LORENZO SINDONI
2008
  • journal article

Periodico
PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY
Abstract
Analogue models for gravity intend to provide a framework where matter and gravity, as well as their intertwined dynamics, emerge from degrees of freedom that have a priori nothing to do with what we call gravity or matter. Bose-Einstein condensates (BEC) are a natural example of an analogue model since one can identify matter propagating on a (pseudo-Riemannian) metric with collective excitations above the condensate of atoms. However, until now, a description of the ‘‘analogue gravitational dynamics’’ for such model was missing. We show here that in a BEC system with massive quasiparticles, the gravitational dynamics can be encoded in a modified (semiclassical) Poisson equation. In particular, gravity is of extreme short range (characterized by the healing length) and the cosmological constant appears from the noncondensed fraction of atoms in the quasiparticle vacuum. While some of these features make the analogue gravitational dynamics of our BEC system quite different from standard Newtonian gravity, we nonetheless show that it can be used to draw some interesting lessons about ‘‘emergent gravity’’ scenarios.
DOI
10.1103/PhysRevD.78.084013
WOS
WOS:000260574900075
Archivio
http://hdl.handle.net/20.500.11767/12980
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-54249144094
Diritti
closed access
Soggetti
  • Gravity

  • Black holes (astronom...

  • Settore FIS/05 - Astr...

Scopus© citazioni
29
Data di acquisizione
Jun 14, 2022
Vedi dettagli
Web of Science© citazioni
32
Data di acquisizione
Mar 21, 2024
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