Scalar quantum fields in cosmologies with 2+1 spacetime dimensions

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-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.

17 pages, 6 figures

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• Cosmological particle production in a quantum field simulator as a quantum mechanical scattering problem
• Entropic distinguishability of quantum fields in phase space
• Vacuum radiation versus shortcuts to adiabaticity
• Entanglement between accelerated probes in a de Sitter spacetime
• Analog Unruh effect of inhomogeneous one-dimensional Dirac fermions
• Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives
• Curved and expanding spacetime geometries in Bose-Einstein condensates
• Configurable photonic simulator for quantum field dynamics
• Phonon Dynamics in Spherically-Curved Analog-Gravity Bose-Einstein Condensates
• Superluminal modes in a quantum field simulator for cosmology from analog trans-Planckian physics
• Emergent quantum field theories on curved spacetimes in spinor Bose-Einstein condensates: from scalar to Proca fields