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This article reviews theoretical and experimental developments for one-dimensional Fermi gases. Specifically, the experimentally realized two-component delta-function interacting Fermi gas -- the Gaudin-Yang model -- and its generalisations…

Quantum Gases · Physics 2013-12-02 Xi-Wen Guan , Murray T. Batchelor , Chaohong Lee

We propose an experimental implementation of a topological superfluid with ultracold fermionic atoms. An optical superlattice is used to juxtapose a 1D gas of fermionic atoms and a 2D conventional superfluid of condensed Feshbach molecules.…

Quantum Gases · Physics 2013-08-20 Sylvain Nascimbène

We here demonstrate that the superfluid 3He-B under a magnetic field in a particular direction stays topological due to a discrete symmetry, that is, in a symmetry protected topological order. Due to the symmetry protected topological…

Superconductivity · Physics 2012-10-18 Takeshi Mizushima , Masatoshi Sato , Kazushige Machida

We propose a simple experimental scheme to realize simultaneously the one-dimensional spin-orbit coupling and the staggered spin-flip in ultracold pseudospin-$1/2$ atomic Fermi gases trapped in square optical lattices. In the absence of…

Quantum Gases · Physics 2017-02-22 Y. Deng , T. Shi , H. Hu , L. You , S. Yi

Spin-triplet p-wave superfluids of single-species (or spin-polarized) fermionic atoms is a topological superfluid. In 2D such a superfluid supports zero-energy topological Majorana fermion excitations in order parameter defects such as…

Quantum Gases · Physics 2012-02-28 M. S. Marienko , Jay D. Sau , Sumanta Tewari

We theoretically investigate the Higgs oscillation in a one-dimensional Raman-type spin-orbit-coupled Fermi superfluid with the time-dependent Bogoliubov-de Gennes equations. By linearly ramping or abruptly changing the effective Zeeman…

Quantum Gases · Physics 2024-08-30 Genwang Fan , Xiao-Long Chen , Peng Zou

Majorana boundary quasiparticles may naturally emerge in a spin-singlet superconductor with Rashba spin-orbit interactions, when a Zeeman magnetic field breaks time-reversal symmetry. Their existence and robustness against adiabatic changes…

Mesoscale and Nanoscale Physics · Physics 2017-07-18 C. Dutreix

We clarify topology of $^3P_2$ superfluids which are expected to be realized in the inner cores of neutron stars and cubic odd-parity superconductors. $^3P_2$ phases include uniaxial/biaxial nematic phases and nonunitary ferromagnetic and…

Superconductivity · Physics 2017-04-26 Takeshi Mizushima , Kota Masuda , Muneto Nitta

We theoretically investigate the behavior of dark solitons in a one-dimensional spin-orbit coupled atomic Fermi gas in harmonic traps, by solving self-consistently the Bogoliubov-de Gennes equations. The dark soliton - to be created by…

Quantum Gases · Physics 2015-02-16 Xia-Ji Liu

Motivated by the experimental observation of spin-charge separation in one-dimensional interacting Fermi gases, we investigate these systems in the presence of spin-orbit coupling and Rabi fields. We demonstrate that spin-charge-separated…

Quantum Gases · Physics 2024-05-31 Xiaoyong Zhang , Carlos A. R. Sá de Melo

We theoretically study a time-reversal-invariant three-dimensional superfluid model by stacking in $z$ direction identical bilayer models with intralayer spin-orbit coupling and contrary Zeeman energy splitting for different layer, which…

Mesoscale and Nanoscale Physics · Physics 2021-12-01 Beibing Huang , Yujie Bai , Ning Xu

Searching for the first topological superfluid (TSF) remains a primary goal of modern science. Here we study the system of attractively interacting fermions hopping in a square lattice with any linear combinations of Rashba or Dresselhaus…

Quantum Gases · Physics 2018-11-28 Yu Yi-Xiang , Fadi Sun , Jinwu Ye , Ningfang Song

We study the phase diagram of a three-component Fermi gas with weak attractive interactions, which shows three superfluid and one normal phases. At weak symmetry breaking between the components the existence of domain walls interpolating…

Other Condensed Matter · Physics 2009-07-23 G. Catelani , E. A. Yuzbashyan

The recent experimental realization of synthetic spin-orbit coupling (SOC) opens a new avenue for exploring novel quantum states with ultracold atoms. However, in experiments for generating two-dimensional SOC (e.g., Rashba type), a…

We propose a scenario to create topological superfluid in a periodically driven two-dimensional square optical lattice. We study the phase diagram of a spin-orbit coupled s-wave pairing superfluid in a periodically driven two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Guocai Liu , Ningning Hao , Shi-Liang Zhu , W. M. Liu

The spin-orbit coupling (SOC) in degenerate Fermi gases can fundamentally change the fate of $s$-wave superfluids with strong Zeeman field and give rise to topological superfluids and associated Majorana zero modes. It also dramatically…

Quantum Gases · Physics 2020-08-05 Cheng-Gong Liang , Yue-Xin Huang , Fei-Hong Liu , Yunbo Zhang , Guang-Can Guo , Ming Gong

We show that an unconventional superfluid triggered by spin-orbit coupling is realized for repulsively interacting quasi-one-dimensional fermions. A competition between spin-singlet and -triplet pairings occurs due to the breaking of…

Quantum Gases · Physics 2014-02-21 Shun Uchino , Akiyuki Tokuno , Thierry Giamarchi

We model the one-dimension (1D) to three-dimension (3D) crossover in a cylindrically trapped Fermi gas with attractive interactions and spin-imbalance. We calculate the mean-field phase diagram, and study the relative stability of exotic…

Quantum Gases · Physics 2016-12-22 Shovan Dutta , Erich J. Mueller

We present a systematic theoretical study of the BCS-BEC crossover problem in three-dimensional atomic Fermi gases at zero temperature with a spherical spin-orbit coupling which can be generated by a synthetic non-Abelian gauge field…

Quantum Gases · Physics 2012-07-13 Lianyi He , Xu-Guang Huang

Recent experiments on fermions in synthetic gauge fields result in systems with a spin-orbit coupling along one spatial axis, a detuning field, and a Zeeman field. We show theoretically that the presence of all three results in interesting…

Quantum Gases · Physics 2013-09-18 Vijay B. Shenoy
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