Sonic horizon dynamics of ultracold Fermi system under elongated harmonic potential

• 来源期刊: 中国物理B（英文版）
• 关键词: sonic horizon ultracold Fermi system Gross–Pitaevskii equation
• 年，卷（期）: 2018,（10）
• 页码范围: 126-130
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/10/100312

摘要

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.