We develop a simple numerical method that allows us to calculate the BCS superfluid transition temperature ${T}_{c}$ precisely for any interaction potential. We apply it to a polarized, ultracold Fermi gas with long-range, anisotropic, dipolar interactions and include the effects of anisotropic exchange interactions. We pay particular attention to the short-range behavior of dipolar gases and reexamine current renormalization methods. In particular, we find that dimerization of both atoms and molecules significantly hampers the formation of a superfluid. The end result is that at high density or interaction strengths, we find ${T}_{c}$ is orders of magnitude lower than previous calculations.We develop a simple numerical method that allows us to calculate the BCS superfluid transition temperature ${T}_{c}$ precisely for any interaction potential. We apply it to a polarized, ultracold Fermi gas with long-range, anisotropic, dipolar interactions and include the effects of anisotropic exchange interactions. We pay particular attention to the short-range behavior of dipolar gases and reexamine current renormalization methods. In particular, we find that dimerization of both atoms and molecules significantly hampers the formation of a superfluid. The end result is that at high density or interaction strengths, we find ${T}_{c}$ is orders of magnitude lower than previous calculations.

arXiv:1602.05634Physical Review AAug 2, 20161 citation

Remarks on Anisotropic Superfluids

Pierre Gilles de Gennes

Elsevier eBooksJan 1, 19730 citations

Theory of anisotropic superfluids

伸高木

Jan 1, 19740 citations

Anisotropic superfluidity in the two-species polar Fermi gas

Renyuan Liao, Joachim Brand

We study the superfluid pairing in a two-species gas of heteronuclear fermionic molecules with equal density. The interplay of the isotropic $s$ -wave interaction and anisotropic long-range dipolar interaction reveals rich physics. We find that the single-particle momentum distribution has a characteristic ellipsoidal shape that can be reasonably represented by a deformation parameter $\ensuremath{\alpha}$ defined similarly to the normal phase. Interesting momentum-dependent features of the order parameter are identified. We calculate the critical temperatures of both the singlet and triplet superfluids, suggesting a possible pairing symmetry transition by tuning the $s$ -wave or dipolar interaction strength.We study the superfluid pairing in a two-species gas of heteronuclear fermionic molecules with equal density. The interplay of the isotropic $s$-wave interaction and anisotropic long-range dipolar interaction reveals rich physics. We find that the single-particle momentum distribution has a characteristic ellipsoidal shape that can be reasonably represented by a deformation parameter $\ensuremath{\alpha}$ defined similarly to the normal phase. Interesting momentum-dependent features of the order parameter are identified. We calculate the critical temperatures of both the singlet and triplet superfluids, suggesting a possible pairing symmetry transition by tuning the $s$-wave or dipolar interaction strength.

arXiv:1008.0514Physical Review ADec 20, 201013 citations

ANISOTROPIC COLORED SUPERFLUIDS

J. HOŠEK

Strong and Electroweak Matter (SEWM)Jun 1, 20030 citations

We develop a simple numerical method that allows us to calculate the BCS superfluid transition temperature

{T}_{c}

precisely for any interaction potential. We apply it to a polarized, ultracold Fermi gas with long-range, anisotropic, dipolar interactions and include the effects of anisotropic exchange interactions. We pay particular attention to the short-range behavior of dipolar gases and reexamine current renormalization methods. In particular, we find that dimerization of both atoms and molecules significantly hampers the formation of a superfluid. The end result is that at high density or interaction strengths, we find

{T}_{c}

is orders of magnitude lower than previous calculations.

We study the superfluid pairing in a two-species gas of heteronuclear fermionic molecules with equal density. The interplay of the isotropic

s

-wave interaction and anisotropic long-range dipolar interaction reveals rich physics. We find that the single-particle momentum distribution has a characteristic ellipsoidal shape that can be reasonably represented by a deformation parameter $\ensuremath{\alpha}$ defined similarly to the normal phase. Interesting momentum-dependent features of the order parameter are identified. We calculate the critical temperatures of both the singlet and triplet superfluids, suggesting a possible pairing symmetry transition by tuning the

s

-wave or dipolar interaction strength.