Sound modes in holographic superfluids

Abstract

Superfluids support many different types of sound waves. We investigate the relation between the sound waves in a relativistic and a non-relativistic superfluid by using hydrodynamics to calculate the various sound speeds. Then, using a particular holographic scalar gravity realization of a strongly interacting superfluid, we compute first, second and fourth sound speeds as a function of the temperature. The relativistic low temperature results for second sound differ from Landau's well known prediction for the non-relativistic, incompressible case.

22 pages, 7 figures

References in corpus (11)

• Building an AdS/CFT superconductor
• Lectures on Holographic Superfluidity and Superconductivity
• Holographic model of superfluidity
• Holographic superconductivity in M-Theory
• Superconductors from Superstrings
• Hydrodynamics of Holographic Superconductors
• The gravity dual to a quantum critical point with spontaneous symmetry breaking
• Conformal Field Theory as Microscopic Dynamics of Incompressible Euler and Navier-Stokes Equations
• Low-temperature behavior of the Abelian Higgs model in anti-de Sitter space
• Fourth sound of holographic superfluids
• Hydrodynamic fluctuations in relativistic superfluids

Cited by in corpus (37)

• Holographic quantum matter
• On Holographic p-wave Superfluids with Back-reaction
• Holographic Superconductors in 3+1 dimensions away from the probe limit
• Dissipative superfluid dynamics from gravity
• Non-equilibrium Condensation Process in a Holographic Superconductor
• Superfluids as Higher-form Anomalies
• Inhomogeneous Structures in Holographic Superfluids: II. Vortices
• Heavy Operators and Hydrodynamic Tails
• A gravity derivation of the Tisza-Landau Model in AdS/CFT
• Inhomogeneous Structures in Holographic Superfluids: I. Dark Solitons
• Luttinger's theorem, superfluid vortices, and holography
• From a complex scalar field to the two-fluid picture of superfluidity
• A Holographic Superfluid Symphony
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• d-wave Holographic Superconductor Vortex Lattice and Non-Abelian Holographic Superconductor Droplet
• Dynamical Condensation in a Holographic Superconductor Model with Anisotropy
• Ideal fracton superfluids
• Non-Relativistic Holography -- A Group-Theoretical Perspective
• Motion of a superfluid vortex according to holographic quantum dissipation
• Solitons as Probes of the Structure of Holographic Superfluids
• Superconducting Coherence Length and Magnetic Penetration Depth of a p-wave Holographic Superconductor
• Statical Structures of the BCS-like Holographic Superfluid in AdS4 Spacetime
• Spontaneous breaking of superconformal invariance in (2+1)D supersymmetric Chern-Simons-matter theories in the large N limit
• Dynamical evolution of spinodal decomposition in holographic superfluids
• Role reversal in first and second sound in a relativistic superfluid
• Pointlike probes of superstring-theoretic superfluids
• Characteristic length of a Holographic Superconductor with $d$-wave gap
• Non-vanishing normal density in cold holographic superfluids
• First Sound in Holographic Superfluids at Zero Temperature
• Universal chiral conductivities for low temperature holographic superfluids
• Note on Zero Temperature Holographic Superfluids
• Two-component liquid model for the quark-gluon plasma
• Zero Temperature Holographic Superfluids with Two Competing Orders
• Notes on relativistic superfluidity and gauge/string duality
• Normal charge densities in quantum critical superfluids
• Holographic superfluid sound modes with bulk acoustic black hole
• Counterflow and coflow instabilities in miscible binary superfluids