Topological superfluid in a two-dimensional polarized Fermi gas with spin-orbit coupling and adiabatic rotation

doi:10.1088/1674-1056/26/12/120304

中国物理B ›› 2017, Vol. 26 ›› Issue (12): 120304-120304.doi: 10.1088/1674-1056/26/12/120304

Topological superfluid in a two-dimensional polarized Fermi gas with spin-orbit coupling and adiabatic rotation

Lei Qiao(乔雷), Cheng Chi(迟诚)

1. School of Physics, Peking University, Beijing 100871, China;
2. Collaborative Innovation Center of Quantum Matter, Beijing 100871, China

收稿日期:2017-05-27 修回日期:2017-09-15 出版日期:2017-12-05 发布日期:2017-12-05
通讯作者: Lei Qiao E-mail:leiqiao@pku.edu.cn

Topological superfluid in a two-dimensional polarized Fermi gas with spin-orbit coupling and adiabatic rotation

Lei Qiao(乔雷)^1,2, Cheng Chi(迟诚)^1,2

1. School of Physics, Peking University, Beijing 100871, China;
2. Collaborative Innovation Center of Quantum Matter, Beijing 100871, China

Received:2017-05-27 Revised:2017-09-15 Online:2017-12-05 Published:2017-12-05
Contact: Lei Qiao E-mail:leiqiao@pku.edu.cn

摘要/Abstract

摘要： We study the properties of superfluid in a two-dimensional (2D) polarized Fermi gas with spin-orbit coupling and adiabatic rotation which are trapped in a harmonic potential. Due to the competition between polarization, spin-orbit coupling, and adiabatic rotation, the Fermi gas exhibits many intriguing phenomena. By using the Bardeen-Cooper-Schrieffer (BCS) mean-field method with local density approximation, we investigate the dependence of order parameter solution on the spin-orbit coupling strength and the rotation velocity. The energy spectra with different rotation velocities are studied in detail. Besides, the conditions for the zero-energy Majorana fermions in topological superfluid phase to be observed are obtained. By investigating distributions of number density, we find that the rotation has opposite effect on the distribution of number density with different spins, which leads to the enhancement of the polarization of Fermi gas. Here, we focus on the region of BCS pairing and ignore the Fulde-Ferrell-Larkin-Ovchinnikov state.

关键词: topological superfluid, BCS mean field, spin-orbit coupling, polarized Fermi gas

Abstract: We study the properties of superfluid in a two-dimensional (2D) polarized Fermi gas with spin-orbit coupling and adiabatic rotation which are trapped in a harmonic potential. Due to the competition between polarization, spin-orbit coupling, and adiabatic rotation, the Fermi gas exhibits many intriguing phenomena. By using the Bardeen-Cooper-Schrieffer (BCS) mean-field method with local density approximation, we investigate the dependence of order parameter solution on the spin-orbit coupling strength and the rotation velocity. The energy spectra with different rotation velocities are studied in detail. Besides, the conditions for the zero-energy Majorana fermions in topological superfluid phase to be observed are obtained. By investigating distributions of number density, we find that the rotation has opposite effect on the distribution of number density with different spins, which leads to the enhancement of the polarization of Fermi gas. Here, we focus on the region of BCS pairing and ignore the Fulde-Ferrell-Larkin-Ovchinnikov state.

Key words: topological superfluid, BCS mean field, spin-orbit coupling, polarized Fermi gas

中图分类号: (Degenerate Fermi gases)

03.75.Ss

03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations) 67.85.Lm (Degenerate Fermi gases)

乔雷, 迟诚. Topological superfluid in a two-dimensional polarized Fermi gas with spin-orbit coupling and adiabatic rotation[J]. 中国物理B, 2017, 26(12): 120304-120304.

Lei Qiao(乔雷), Cheng Chi(迟诚). Topological superfluid in a two-dimensional polarized Fermi gas with spin-orbit coupling and adiabatic rotation[J]. Chin. Phys. B, 2017, 26(12): 120304-120304.

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Topological superfluid in a two-dimensional polarized Fermi gas with spin-orbit coupling and adiabatic rotation

Topological superfluid in a two-dimensional polarized Fermi gas with spin-orbit coupling and adiabatic rotation

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