Two-Fluid Model for Anisotropic Superfluids

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Introduction Action Principle Classic Approach Sound Propagation Anisotropy Anisotropic Extension Motivation fully polarized dipolar BEC at finite temperatures fully polarized dipolar BEC at T = 0K with disorder 1,2 ∫ d 3 k 4nR(k)k i k k n sik = nδ ik − (2π) 2 k 2 [ 2 k 2 /2m + 2nV int (k)] 2 + . . . superfluid density has the structure of a rank two tensor system’s response depends on the direction of perturbation 1 C. Krumnow and A. Pelster Phys. Rev. A 84 021608 (2011) 2 B. Nikolic, A. Balaz and A. Pelster, arXiv:1212.4807 Two-Fluid Model for Anisotropic Superfluids Carolin Wille
Introduction Action Principle Classic Approach Sound Propagation Anisotropy Anisotropic Extension Hydrodynamic equations for anisotropic fluid total density remains scalar ρ nik + ρ sik = ρ ik = ˜ρδ ik continuity equation ∂ t ˜ρ + div j = 0 mass current momentum conservation j i = ρ nij v nj + ρ sij v sj ∂j i ∂t + ∂ kΠ ik = 0 Π ik = ρ skj v sj v si + ρ nij v nj v nk − ρ nij v nk v sj + ρ nkj v nj v si + pδ ik momentum tensor: no symmetric structure Π ik ≠ Π ki Two-Fluid Model for Anisotropic Superfluids Carolin Wille
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Two-Fluid Model for Anisotropic Superfluids

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