Curved and expanding spacetime geometries in Bose-Einstein condensates
arXiv:2202.10441 · doi:10.1103/PhysRevA.106.033313
Abstract
Phonons have the characteristic linear dispersion relation of massless relativistic particles. They arise as low energy excitations of Bose-Einstein condensates and, in nonhomogeneous situations, are governed by a space- and time-dependent acoustic metric. We discuss how this metric can be experimentally designed to realize curved spacetime geometries, in particular, expanding Friedmann-Lemaître-Robertson-Walker cosmologies, with negative, vanishing, or positive spatial curvature. A nonvanishing Hubble rate can be obtained through a time-dependent scattering length of the background condensate. For relativistic quantum fields this leads to the phenomenon of particle production, which we describe in detail. We explain how particle production and other interesting features of quantum field theory in curved spacetime can be tested in terms of experimentally accessible correlation functions.
arXiv comment19 pages, 11 figures
References in corpus (39)
- Theory of Bose-Einstein condensation in trapped gases
- Acoustic black holes: horizons, ergospheres, and Hawking radiation
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Sonic analog of gravitational black holes in Bose-Einstein condensates
- Observation of quantum Hawking radiation and its entanglement in an analogue black hole
- Measurement of stimulated Hawking emission in an analogue system
- Observation of thermal Hawking radiation at the Hawking temperature in an analogue black hole
- Sonic black holes in dilute Bose-Einstein condensates
- Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
- An acoustic analog to the dynamical Casimir effect in a Bose-Einstein condensate
- Probing semiclassical analogue gravity in Bose--Einstein condensates with widely tunable interactions
- Quantum simulation of cosmic inflation in two-component Bose-Einstein condensates
- A rapidly expanding Bose-Einstein condensate: an expanding universe in the lab
- "Cosmological" quasiparticle production in harmonically trapped superfluid gases
- Quantum Simulation of Coherent Hawking-Unruh Radiation
- Hawking Radiation from an Acoustic Black Hole on an Ion Ring
- Analogue model of a FRW universe in Bose-Einstein condensates: Application of the classical field method
- Towards the observation of Hawking radiation in Bose--Einstein condensates
- Synthetic Unruh effect in cold atoms
- Interferometric Unruh detectors for Bose-Einstein condensates
- Naturalness in emergent spacetime
- Cosmological particle production in emergent rainbow spacetimes
- Analogue quantum gravity phenomenology from a two-component Bose-Einstein condensate
- Particle pair creation by inflation of quantum vacuum fluctuations in an ion trap
- The next generation of analogue gravity experiments
- Early Universe Quantum Processes in BEC Collapse Experiments
- Aspects of Cosmic Inflation in Expanding Bose-Einstein Condensates
- Functional renormalization for Bose-Einstein Condensation
- Analogue Cosmological Particle Creation: Quantum Correlations in Expanding Bose Einstein Condensates
- Inflation in a closed universe
- Analogue model for quantum gravity phenomenology
- Observation of quasiparticle pair-production and quantum entanglement in atomic quantum gases quenched to an attractive interaction
- Assessing degrees of entanglement of phonon states in atomic Bose gases through the measurement of commuting observables
- Controlling and observing nonseparability of phonons created in time-dependent 1D atomic Bose condensates
- Quasiparticle universes in Bose-Einstein condensates
- Scalar quantum fields in cosmologies with 2+1 spacetime dimensions
- FRW universe in the laboratory
- Spatial entanglement in interacting Bose-Einstein condensates
- Real scalar field, non-relativistic limit, and cosmological expansion