Sonic horizon dynamics of ultracold Fermi system under elongated harmonic potential

Ying Wang; Shuyu Zhou

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

Sonic horizon dynamics of ultracold Fermi system under elongated harmonic potential

Ying Wang, Shuyu Zhou

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	100312
Journal	Chinese Physics B
Volume	27
Issue number	10
DOIs	https://doi.org/10.1088/1674-1056/27/10/100312
State	Published - 1 Jan 2018
Externally published	Yes

Keywords

Gross-Pitaevskii equation
sonic horizon
ultracold Fermi system

ASJC Scopus subject areas

General Physics and Astronomy

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10.1088/1674-1056/27/10/100312

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title = "Sonic horizon dynamics of ultracold Fermi system under elongated harmonic potential",

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 = "Gross-Pitaevskii equation, sonic horizon, ultracold Fermi system",

author = "Ying Wang and Shuyu Zhou",

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AB - 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.

KW - Gross-Pitaevskii equation

KW - sonic horizon

KW - ultracold Fermi system

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JO - Chinese Physics B

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ER -

Sonic horizon dynamics of ultracold Fermi system under elongated harmonic potential

Abstract

Keywords

ASJC Scopus subject areas

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