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arxiv: cond-mat/0307200 · v3 · submitted 2003-07-09 · ❄️ cond-mat.other · gr-qc· hep-th

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

Petr O. Fedichev , Uwe R. Fischer This is my paper
classification ❄️ cond-mat.other gr-qchep-th
keywords timebose-einsteincondensatecontentcurveddetectoreffectiveintervals
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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 to 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.

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