Inhomogeneous superfluids

Abstract

We show examples of a striped superfluid in a simple $\lambda {\phi }^4$ model at finite velocity and chemical potential with a global $U(1)$ or $U(2)$ symmetry. Whenever the chemical potential is large enough we find flowing homogeneous solutions and static inhomogeneous solutions at any arbitrary small velocity. For the $U(1)$ model the inhomogeneous solutions found are energetically favourable for large enough superfluid velocity and the homogeneous and inhomogeneous phases are connected via a first order phase transitions. On the other hand, the $U(2)$ model becomes striped as soon as we turn on the velocity through a second order phase transition. In both models increasing the velocity leads to a second order phase transition into a phase with no condensate.

14 pages, 6 figures, references added

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Cited by in corpus (3)

• Spontaneous current in an holographic s+p superfluid
• Non-equilibrium dynamics in Holography
• Multicomponent Superfluids and Superconductors in Dense Nuclear and Quark Matter