A gravity derivation of the Tisza-Landau Model in AdS/CFT

TL;DR

This paper derives a bulk gravity solution in AdS/CFT dual to a superfluid with supercurrent, showing it follows a relativistic Tisza-Landau two-fluid model and analyzing phase transition orders.

Contribution

It provides a fully backreacted gravity dual of a superfluid with supercurrent, connecting it to a relativistic two-fluid hydrodynamics framework.

Findings

Phase transition can be first or second order.

In strongly backreacted regime, transition remains second order.

The boundary superfluid dynamics follow a relativistic Tisza-Landau model.

Abstract

We derive the fully backreacted bulk solution dual to a boundary superfluid with finite supercurrent density in AdS/CFT. The non-linear boundary hydrodynamical description of this solution is shown to be governed by a relativistic version of the Tisza-Landau two-fluid model to non-dissipative order. As previously noted, the phase transition can be both first order and second order, but in the strongly-backreacted regime at low charge q we find that the transition remains second order for all allowed fractions of superfluid density.