Quantum quenches, sonic horizons and the Hawking radiation in a class of exactly solvable models
arXiv:1812.04542 · doi:10.1103/PhysRevD.99.045014
Abstract
Taking advantage of the known exact mapping of the one-dimensional Hard Core Bose (HCB) fluid onto a non-interacting spinless fermion gas, we examine in full detail a thought experiment on cold atoms confined in a quasi-one-dimensional trap, in order to investigate the emergence of the analogue Hawking radiation. The dynamics of a gas of interacting bosons impinging on an external potential is exactly tracked up to the reach of a stationary state. Under few strict conditions on the experimental parameters, the stationary state is shown to be described asymptotically by a thermal distribution, precisely at the expected (analogue) Hawking temperature. However, we find that in most experimental conditions the emerging `Hawking-like radiation' is not thermal. This analysis provides a novel many-body microscopic interpretation of the Hawking mechanism, together with useful limits and conditions for the design of future experiments in Bose-Einstein condensates.
arXiv comment32 pages, 20 figures. This version matches the published version
References in corpus (21)
- Analogue Gravity
- Sonic analog of gravitational black holes in Bose-Einstein condensates
- Observation of quantum Hawking radiation and its entanglement in an analogue black hole
- Observation of self-amplifying Hawking radiation in an analog black hole laser
- Collective oscillations of a 1D trapped Bose gas
- Numerical observation of Hawking radiation from acoustic black holes in atomic Bose-Einstein condensates
- Non-local density correlations as signal of Hawking radiation in BEC acoustic black holes
- Black-hole radiation in Bose-Einstein condensates
- One-dimensional Bosons in Three-dimensional Traps
- Hawking radiation in sonic black holes
- Quench dynamics of the interacting Bose gas in one dimension
- The theory of Hawking radiation in laboratory analogues
- An exact formalism for the quench dynamics of integrable models
- Transition from 3D to 1D in Bose Gases at Zero Temperature
- Mechanism of stimulated Hawking radiation in a laboratory Bose-Einstein condensate
- Numerical study of a recent black hole lasing experiment
- Non-linear effects in time-dependent transonic flows: An analysis of analogue black hole stability
- Induced density correlations in a sonic black hole condensate
- Questioning the recent observation of quantum Hawking radiation
- Sonoluminescence: Two-photon correlations as a test of thermality
- Analogue Hawking radiation in an exactly solvable model of BEC
Cited by in corpus (5)
- On the role of interactions in trans-sonically flowing atomic condensates
- Formation dynamics of black- and white-hole horizons in an analogue gravity model
- Density correlations from analogue Hawking radiation in the presence of atom losses
- Many-body dark solitons in one-dimensional hard-core Bose gases
- Velocity effects slightly mitigating the quantumness degradation of an Unruh-DeWitt detector