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Chinese Physics B

Sonic horizon dynamics of ultracold Fermi system under elongated harmonic potential

Ying Wang, Shuyu Zhou

Published Oct 1, 2018• 1 citation
Publisher

Abstract

We study the phenomena of the sonic horizon in an ultracold atomic Fermi system in an elongated harmonic trap.Based on the one-dimensional Gross-Pitaevskii equation model and variational method combined with exact derivation approach, we derive an analytical formula which describes the occurrence of the sonic horizon and the associated Hawking radiation temperature.Using a pictorial demonstration of the key physical quantities we identify the features reported in prior numerical studies of a three-dimensional (3D) ultracold atomic system, proving the applicability of the theoretical model presented here.

DOI
10.1088/1674-1056/27/10/100312

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