Hydrodynamics and instabilities of relativistic superfluids at finite superflow - Archive ouverte HAL
Article Dans Une Revue Journal of High Energy Physics Année : 2024

Hydrodynamics and instabilities of relativistic superfluids at finite superflow

Daniel Areán
  • Fonction : Auteur
Eric Mefford
  • Fonction : Auteur

Résumé

We study the linear response of relativistic superfluids with a non-zero superfluid velocity. For sufficiently large superflow, an instability develops via the crossing of a pole of the retarded Green's functions to the upper half complex frequency plane. We show that this is caused by a local thermodynamic instability, i.e. when an eigenvalue of the static susceptibility matrix (the second derivatives of the free energy) diverges and changes sign. The onset of the instability occurs when $\partial_{\zeta}(n_s\zeta)=0$, with $\zeta$ the norm of the superfluid velocity and $n_s$ the superfluid density. The Landau instability for non-relativistic superfluids such as Helium 4 also coincides with the non-relativistic version of this criterion. We then turn to gauge/gravity duality and show that this thermodynamic instability criterion applies equally well to strongly-coupled superfluids. In passing, we compute holographically a number of transport coefficients parametrizing deviations out-of-equilibrium in the hydrodynamic regime and demonstrate that the gapless quasinormal modes of the dual planar black hole match those predicted by superfluid hydrodynamics.

Dates et versions

hal-04372656 , version 1 (04-01-2024)

Identifiants

Citer

Daniel Areán, Blaise Goutéraux, Eric Mefford, Filippo Sottovia. Hydrodynamics and instabilities of relativistic superfluids at finite superflow. Journal of High Energy Physics, 2024, 05, pp.272. ⟨10.1007/JHEP05(2024)272⟩. ⟨hal-04372656⟩
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