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Scalar quantum fields in cosmologies with 2+1 spacetime dimensions

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arxiv 2202.10440 v2 pith:JNWBLEAQ submitted 2022-02-21 gr-qc cond-mat.quant-gas

Natalia Sánchez-Kuntz , Álvaro Parra-López , Mireia Tolosa-Simeón , Tobias Haas , Stefan Floerchinger This is my paper · ORCID
classification gr-qccond-mat.quant-gas
keywords quantumspacetimedimensionsfieldscalarseveralanalyticalbackground
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abstract

Motivated by the possibility to use Bose-Einstein condensates as quantum simulators for spacetime curvature, we study a massless relativistic scalar quantum field in spatially curved Friedmann-Lema\^itre-Robertson-Walker universes with $d=2+1$ spacetime dimensions. In particular, we investigate particle production caused by a time-dependent background geometry, by means of the spectrum of fluctuations and several two-point field correlation functions. We derive new analytical results for several expansion scenarios.

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