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-Lemaître-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.
N. Sánchez-Kuntz, A. Parra-López, M. Tolosa-Simeón, T. Haas, S. Floerchinger, “Scalar quantum fields in cosmologies with 2+1 spacetime dimensions”, Phys. Rev. D 105, 105020 (2022).
Related to Project A06, C06