Sonic horizon dynamics of ultracold Fermi system under elongated harmonic potential

doi:10.1088/1674-1056/27/10/100312

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.

Keywords: sonic horizon ultracold Fermi system Gross-Pitaevskii equation

Received: 18 April 2018
Revised: 15 July 2018
Accepted manuscript online:

PACS:	03.75.Lm	(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
	05.45.-a	(Nonlinear dynamics and chaos)
	47.37.+q	(Hydrodynamic aspects of superfluidity; quantum fluids)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11547024, 11791240178, and 11674338.

Corresponding Authors: Ying Wang, Shuyu Zhou
E-mail: wangying@just.edu.cn;syz@siom.ac.cn

Cite this article:

Ying Wang(王颖), Shuyu Zhou(周蜀渝) Sonic horizon dynamics of ultracold Fermi system under elongated harmonic potential 2018 Chin. Phys. B 27 100312

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