Scalar quantum fields in cosmologies with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>spacetime dimensions
Natalia Sánchez-Kuntz, Álvaro Parra-López, Mireia Tolosa-Simeón, T. Haas, Stefan Floerchinger
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\^{\i}tre-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.
Topics & Concepts
SpacetimePhysicsScalar fieldMassless particleScalar (mathematics)CurvatureField (mathematics)Mathematical physicsQuantum mechanicsGeometryMathematicsPure mathematicsCosmology and Gravitation TheoriesQuantum Electrodynamics and Casimir EffectBlack Holes and Theoretical Physics