Observer dependence for the phonon content of the sound field living on the effective curved space-time background of a Bose-Einstein condensate

2003/07/31 by П. О. Федичев, Petr O. Fedichev, Uwe R. Fischer · 9 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Experimental and Theoretical Physics Studies #Quantum Electrodynamics and Casimir Effect #cond-mat.other #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.69.064021

published as Phys.Rev. D69 (2004) 064021 · 9 pages, 2 figures; references updated, as published in Physical Review D

openalex publication_date 2004/03/22 · arxiv created 2004/03/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We demonstrate that the ambiguity of the particle content for quantum fields in a generally curved space-time can be experimentally investigated in an ultracold gas of atoms forming a Bose-Einstein condensate. We explicitly evaluate the response of a suitable condensed matter detector, an ``atomic quantum dot,'' which can be tuned to measure time intervals associated with different effective acoustic space-times. It is found that the detector response related to laboratory, ``adiabatic,'' and de Sitter time intervals is finite in time and nonstationary, vanishing, and thermal, respectively.

Citations

• The All Digital Distance Writing Course
• On the space-time curvature experienced by quasiparticle excitations in the Painlevé–Gullstrand effective geometry

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