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.

Quantum quenches, sonic horizons, and the Hawking radiation in a class of exactly solvable models

Tettamanti, Manuele;Cacciatori, Sergio L.;Parola, Alberto
2019-01-01

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.
2019
http://harvest.aps.org/bagit/articles/10.1103/PhysRevD.99.045014/apsxml
Quantum fields in curved spacetime. Quasiparticles. Ultracold gases.
Tettamanti, Manuele; Cacciatori, Sergio L.; Parola, Alberto
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2077588
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