Formation of a vortex lattice in a rotating BCS Fermi gas

Abstract

We investigate theoretically the formation of a vortex lattice in a superfluid two-spin component Fermi gas in a rotating harmonic trap, in a BCS-type regime of condensed non-bosonic pairs. Our analytical solution of the superfluid hydrodynamic equations, both for the 2D BCS equation of state and for the 3D unitary quantum gas, predicts that the vortex free gas is subject to a dynamic instability for fast enough rotation. With a numerical solution of the full time dependent BCS equations in a 2D model, we confirm the existence of this dynamic instability and we show that it leads to the formation of a regular pattern of quantum vortices in the gas.

14 pages

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Cited by in corpus (25)

• Theory of ultracold Fermi gases
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Generation and Dynamics of Quantized Vortices in a Unitary Fermi Superfluid
• Pairing dynamics in particle transport
• Superfluid hydrodynamics in the inner crust of neutron stars
• The Unitary Gas and its Symmetry Properties
• Temperature dependence of a vortex in a superfluid Fermi gas
• Quantal corrections to mean-field dynamics including pairing
• Vortex arrays in neutral trapped Fermi gases throughout the BCS-BEC crossover
• Destroying superfluidity by rotating a Fermi gas at unitarity
• Collective excitations in the neutron star inner crust
• Rotation induced superfluid-normal phase separation in trapped Fermi gases
• Vortex formation in a rotating two-component Fermi gas
• Spin-orbit-coupled topological Fulde-Ferrell states of fermions in a harmonic trap
• Unitary polarized Fermi gas under adiabatic rotation
• Superfluid fraction in the slab phase of the inner crust of neutron stars
• Superfluid density in linear response theory : pulsar glitches from the inner crust of neutron stars
• Density profile of noninteracting fermions in a rotating $2d$ trap at finite temperature
• Pair density waves and vortices in an elongated two-component Fermi gas
• Superfluid fraction in the rod phase of the inner crust of neutron stars
• Density functional theory of the trapped Fermi gas in the unitary regime
• Beyond-mean-field phases of rotating dipolar condensates
• Vortices in Fermi gases with spin-dependent rotation potentials
• Appropriate conditions to realize a $p$-wave superfluid state starting from a spin-orbit coupled $s$-wave superfluid Fermi gas