Scalar quantum fields in cosmologies with 2+1 spacetime dimensions

TL;DR

This paper investigates particle production of a massless scalar quantum field in 2+1 dimensional curved spacetimes, providing new analytical results for various cosmological expansion scenarios, with potential applications in quantum simulation.

Contribution

It offers the first analytical study of particle production in 2+1 dimensional curved spacetimes, expanding understanding of quantum fields in lower-dimensional cosmologies.

Findings

Derived analytical expressions for particle spectra during cosmological expansion.

Analyzed two-point correlation functions revealing quantum fluctuation behavior.

Identified conditions under which particle production is maximized or suppressed.

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.