We consider a superfluid of trapped fermionic atoms and study the single vortex solution in the Ginzburg-Landau regime. We define simple analytical estimates for the main characteristics of the system, such as the vortex core size, temperature regimes for the existence of a vortex, and the effects of rotation and interactions with normal fermions. The parameter dependence of the vortex core size (healing length) is found to be essentially different from that of the healing length in metallic superconductors or in trapped atomic Bose-Einstein condensation in the Thomas-Fermi limit. This is an indication of the importance of the confining geometry for the properties of fermionic superfluids.We consider a superfluid of trapped fermionic atoms and study the single vortex solution in the Ginzburg-Landau regime. We define simple analytical estimates for the main characteristics of the system, such as the vortex core size, temperature regimes for the existence of a vortex, and the effects of rotation and interactions with normal fermions. The parameter dependence of the vortex core size (healing length) is found to be essentially different from that of the healing length in metallic superconductors or in trapped atomic Bose-Einstein condensation in the Thomas-Fermi limit. This is an indication of the importance of the confining geometry for the properties of fermionic superfluids.

arXiv:cond-mat/0104491Physical Review LettersAug 20, 200119 citations

Microscopic Theory of a Vortex in a Superfluid Fermi Gas

Nicolai Gayle Nygaard, Georg M. Bruun, David L. Feder +2 more

APSMay 1, 20020 citations

Manipulating the critical temperature for the superfluid phase transition in trapped atomic Fermi gases

Christopher P. Search, Han Pu, W. Zhang +2 more

We examine the effect of the trapping potential on the critical temperature ${T}_{C}$ for the BCS transition to a superfluid state in trapped atomic gases of fermions. ${T}_{C}$ for an arbitrary power-law trap is calculated in the Thomas-Fermi approximation. For anharmonic traps, ${T}_{C}$ can be increased by several orders of magnitude in comparison to a harmonic trap. Our theoretical results indicate that, in practice, one could manipulate the critical temperature for the BCS phase transition by shaping the traps confining the atomic Fermi gases.We examine the effect of the trapping potential on the critical temperature ${T}_{C}$ for the BCS transition to a superfluid state in trapped atomic gases of fermions. ${T}_{C}$ for an arbitrary power-law trap is calculated in the Thomas-Fermi approximation. For anharmonic traps, ${T}_{C}$ can be increased by several orders of magnitude in comparison to a harmonic trap. Our theoretical results indicate that, in practice, one could manipulate the critical temperature for the BCS phase transition by shaping the traps confining the atomic Fermi gases.

arXiv:cond-mat/0111548Physical Review AJun 14, 200210 citations

Vortex Structure and Dynamics in Fermi Superfluid Gas

Masahiko Machida, Tomio Koyama, Yoji Ohashi

Bulletin of the American Physical SocietyMar 13, 20060 citations

Coreless vorticity in multicomponent Bose and Fermi superfluids

Gianluigi Catelani, Emil A. Yuzbashyan

We consider quantized vortices in two-component Bose-Einstein condensates and three-component Fermi gases with attractive interactions. In these systems, the vortex core can be either empty (normal in the fermion case) or filled with another superfluid. We determine critical values of the parameters---chemical potentials, scattering lengths, and, for Fermi gases, temperature---at which the transition between the two types of vortices occurs. Population imbalance can lead to superfluid core (coreless) vorticity in multicomponent superfluids which otherwise support only usual vortices. For multicomponent Fermi gases, we construct the phase diagram, including regions of coreless vorticity. We extend our results to trapped bosons and fermions using an appropriate local approximation, which goes beyond the usual Thomas-Fermi approximation for trapped bosons.We consider quantized vortices in two-component Bose-Einstein condensates and three-component Fermi gases with attractive interactions. In these systems, the vortex core can be either empty (normal in the fermion case) or filled with another superfluid. We determine critical values of the parameters---chemical potentials, scattering lengths, and, for Fermi gases, temperature---at which the transition between the two types of vortices occurs. Population imbalance can lead to superfluid core (coreless) vorticity in multicomponent superfluids which otherwise support only usual vortices. For multicomponent Fermi gases, we construct the phase diagram, including regions of coreless vorticity. We extend our results to trapped bosons and fermions using an appropriate local approximation, which goes beyond the usual Thomas-Fermi approximation for trapped bosons.

arXiv:0909.3851Physical Review AMar 31, 201023 citations

We examine the effect of the trapping potential on the critical temperature

{T}_{C}

for the BCS transition to a superfluid state in trapped atomic gases of fermions.

{T}_{C}

for an arbitrary power-law trap is calculated in the Thomas-Fermi approximation. For anharmonic traps,

{T}_{C}

can be increased by several orders of magnitude in comparison to a harmonic trap. Our theoretical results indicate that, in practice, one could manipulate the critical temperature for the BCS phase transition by shaping the traps confining the atomic Fermi gases.