Berezinskii-Kosterlitz-Thouless transition in trapped quasi-two-dimensional Fermi gas near a Feshbach resonance

Abstract

We study the superfluid transition in a quasi-two-dimensional Fermi gas with a magnetic field tuning through a Feshbach resonance. Using an effective two-dimensional Hamiltonian with renormalized interaction between atoms and dressed molecules, we investigate the Berezinskii-Kosterlitz-Thouless transition temperature by studying the phase fluctuation effect. We also take into account the trapping potential in the radial plane, and discuss the number and superfluid density distributions. These results can be compared to experimental outcomes for gases prepared in one-dimensional optical lattices.

6 pages, 4 figures

References in corpus (14)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Weakly bound dimers of fermionic atoms
• Confinement induced molecules in a 1D Fermi gas
• Order and quantum phase transitions in the cuprate superconductors
• Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
• Molecules of Fermionic Atoms in an Optical Lattice
• Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
• Production of a Fermi gas of atoms in an optical lattice
• Vortex-Antivortex Lattice in Ultra-Cold Fermi Gases
• Rapid sympathetic cooling to Fermi degeneracy on a chip
• BCS-BEC Crossover of a Quasi-two-dimensional Fermi Gas: the Significance of Dressed Molecules
• Pseudogap phase formation in the crossover from Bose-Einstein condensation to BCS superconductivity
• Conditions of Low Dimensionality for Strongly Interacting Atoms Under a Transverse Trap
• Effective low-dimensional Hamiltonian for strongly interacting atoms in a transverse trap

Cited by in corpus (43)

• Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
• Evolution of Fermion Pairing from Three to Two Dimensions
• BCS-BEC crossover in a two-dimensional Fermi gas
• Crossover from 2D to 3D in a weakly interacting Fermi gas
• Virial expansion for a strongly correlated Fermi system and its application to ultracold atomic Fermi gases
• Searching for Majorana Fermions in 2D Spin-orbit Coupled Fermi Superfluids at Finite Temperature
• Thermodynamics of an attractive 2D Fermi gas
• Exact Numerical Results on the Ground State of Strongly Interacting Fermi Gases in Two Dimensions
• Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases
• Spin-Imbalanced Quasi-Two-Dimensional Fermi Gases
• Exact few-body results for strongly correlated quantum gases in two dimensions
• BCS-BEC crossover in spin-orbit coupled two-dimensional Fermi gases
• The effect of population imbalance on the Berezinskii-Kosterlitz-Thouless phase transition in a superfluid Fermi gas
• Density distribution of a trapped two-dimensional strongly interacting Fermi gas
• Interatomic collisions in two-dimensional and quasi-two-dimensional confinements with spin-orbit coupling
• Superfluid density and critical velocity near the fermionic Berezinskii-Kosterlitz-Thouless transition
• Confinement-induced Resonances in Quasi-one-dimensional Traps with Transverse Anisotropy
• Criteria for 2D kinematics in an interacting Fermi gas
• Low-dimensional pairing fluctuations and pseudogapped photoemission spectrum in a trapped two-dimensional Fermi gas
• Fermi Gases in the Two-Dimensional to Quasi-Two-Dimensional Crossover
• Density Functional of a Two-Dimensional Gas of Dipolar Atoms: Thomas-Fermi-Dirac Treatment
• Rashba spin-orbit coupling, strong interactions, and the BCS-BEC crossover in the ground state of the two-dimensional Fermi Gas
• Shell-shaped atomic gases
• Topological superradiant state in Fermi gases with cavity induced spin-orbit coupling
• Vortices and antivortices in two-dimensional ultracold Fermi gases
• Core structure of two-dimensional Fermi gas vortices in the BEC-BCS crossover region
• Effective-range dependence of two-dimensional Fermi gases
• Finite Temperature Phase Diagram of Quasi-Two-Dimensional Imbalanced Fermi Gases Beyond Mean-Field
• Superfluidity in Two-Dimensional Imbalanced Fermi Gases
• Propagation of first and second sound in a two-dimensional Fermi superfluid
• Berezinskii-Kosterlitz-Thouless phase transition with Rabi-coupled bosons
• BCS-BEC Crossover in the Two-Dimensional Attractive Hubbard Model: Variational Cluster Approach
• Renormalization of the superfluid density in the two-dimensional BCS-BEC crossover
• Influence of Induced Interactions on Superfluid Properties of Quasi-Two Dimensional Dilute Fermi Gases With Spin-Orbit Coupling
• Generalization of the Fermi Pseudopotential
• Significance of dressed molecules in a quasi-two-dimensional polarized Fermi gas
• Bound-state spectrum of an impurity in a quantum vortex
• Kosterlitz-Thouless transition and vortex-antivortex lattice melting in two-dimensional Fermi gases with $p$- or $d$-wave pairing
• Amplitude, phase, and topological fluctuations shaping the complex phase diagram of two-dimensional superconductors
• Predictive power of the Berezinskii-Kosterlitz-Thouless theory based on Renormalization Group throughout the BCS-BEC crossover in 2D superconductors
• Finite-size effects in the two-dimensional BCS-BEC crossover
• When does a Fermi puddle become a Fermi sea? Emergence of pairing in two-dimensional trapped mesoscopic Fermi gases
• BCS-BEC crossover in a quasi-two-dimensional Fermi superfluid