Quantum phases of atomic Fermi gases with anisotropic spin-orbit coupling

Abstract

We consider a general anisotropic spin-orbit coupling (SOC) and analyze the phase diagrams of both balanced and imbalanced Fermi gases for the entire BCS--Bose-Einstein condensate (BEC) evolution. In the first part, we use the self-consistent mean-field theory at zero temperature, and show that the topological structure of the ground-state phase diagrams is quite robust against the effects of anisotropy. In the second part, we go beyond the mean-field description, and investigate the effects of Gaussian fluctuations near the critical temperature. This allows us to derive the time-dependent Ginzburg-Landau theory, from which we extract the effective mass of the Cooper pairs and their critical condensation temperature in the molecular BEC limit.

10 pages with 7 figures; to appear in PRA

References in corpus (10)

• Theory of ultracold Fermi gases
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions
• Phase diagram of a two-component Fermi gas with resonant interactions
• Observation of pseudogap behavior in a strongly interacting Fermi gas
• BCS-BEC crossover induced by a synthetic non-Abelian gauge field
• Chiral Rashba spin textures in ultra-cold Fermi gases
• Topological superfluids on a lattice with non-Abelian gauge fields
• Nonzero orbital angular momentum superfluidity in ultracold Fermi gases

Cited by in corpus (29)

• Spin-Orbit Coupled Quantum Gases
• Exotic quantum spin models in spin-orbit-coupled Mott insulators
• Rashba spin-orbit coupled atomic Fermi gases
• Tuning the Tricritical Point with Spin-orbit Coupling in Polarized Fermionic Condensates
• Josephson physics of spin-orbit coupled elongated Bose-Einstein condensates
• Finite-Momentum Dimer Bound State in Spin-Orbit Coupled Fermi Gas
• Quantum metric contribution to the pair mass in spin-orbit coupled Fermi superfluids
• Low-density molecular gas of tightly-bound Rashba-Dresselhaus fermions
• BCS-BEC crossover in three-dimensional Fermi gases with spherical spin-orbit coupling
• Topological superfluid phases of an atomic Fermi gas with in- and out-of-plane Zeeman fields and equal Rashba-Dresselhaus spin-orbit coupling
• Tuning Rashba and Dresselhaus spin-orbit couplings: Effects on singlet and triplet condensation with Fermi atoms
• Exposing the quantum geometry of spin-orbit coupled Fermi superfluids
• BCS-BEC crossover at finite temperature in spin-orbit coupled Fermi gases
• Vortex line in spin-orbit coupled atomic Fermi gases
• Geometric mass acquisition via quantum metric: an effective band mass theorem for the helicity bands
• From antiferromagnetic order to magnetic textures in the two dimensional Fermi Hubbard model with synthetic spin orbit interaction
• Polarization of a quasi two-dimensional repulsive Fermi gas with Rashba spin-orbit coupling: a variational study
• Trapped Fermi gases with Rashba spin-orbit coupling in two dimensions
• $SU(3)$ Topological Insulators in the Honeycomb Lattice
• Induced interactions in the BCS-BEC crossover of two-dimensional Fermi gases with Rashba spin-orbit coupling
• Two-dimensional quasi-ideal Fermi gas with Rashba spin-orbit coupling
• Counterflow of spontaneous mass currents in trapped spin-orbit coupled Fermi gases
• Spin-orbit-induced bound state and molecular signature of the degenerate Fermi gas in a narrow Feshbach resonance
• Damping of the Anderson-Bogolyubov mode by spin and mass imbalance in Fermi mixtures
• Critical temperature in the BCS-BEC crossover with spin-orbit coupling
• Atom-dimer and dimer-dimer scatterings in a spin-orbit coupled Fermi gas
• Dynamical spin properties of confined Fermi and Bose systems in presence of spin-orbit coupling
• Rabi coupled fermions in the BCS-BEC crossover
• Bardeen-Cooper-Schrieffer--type pairing in a spin-$\frac{1}{2}$ Bose gas with spin-orbit coupling