Universal Bounds on Transport in Holographic Systems with Broken Translations

Abstract

We study the presence of universal bounds on transport in homogeneous holographic models with broken translations. We verify numerically that, in holographic systems with momentum dissipation, the viscosity to entropy bound might be violated but the shear diffusion constant remains bounded by below. This confirms the idea that $\eta /s$ loses its privileged role in non-relativistic systems and that, in order to find more universal bounds, one should rather look at diffusion constants. We strengthen this idea by showing that, in presence of spontaneously broken translations, the Goldstone diffusion constant satisfies a universal lower bound in terms of the Planckian relaxation time and the butterfly velocity. Additionally, all the diffusive processes in the model satisfy an upper bound, imposed by causality, which is given in terms of the thermalization time -- the imaginary part of the first non-hydrodynamic mode in the spectrum -- and the speed of longitudinal sound. Finally, we discuss the existence of a bound on the speed of sound in holographic conformal solids and we show that the conformal value acts as a lower (and not upper) bound on the speed of longitudinal phonons. Nevertheless, we show that the stiffness $\partial p/\partial \epsilon$ is still bounded by above by its conformal value. This suggests that the bounds conjectured in the past have to be considered on the stiffness of the system, related to its equation of state, and not on the propagation speed of sound.

arXiv commentv2: improved presentation and added details of the computations, still a lot of bounds summarized in a colored table now

References in corpus (117)

• The electronic properties of graphene
• A bound on chaos
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Dissipation bounds all steady-state current fluctuations
• Strange metal in magic-angle graphene with near Planckian dissipation
• Bekenstein-Hawking Entropy and Strange Metals
• Theory of universal incoherent metallic transport
• Lectures on hydrodynamic fluctuations in relativistic theories
• Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
• A simple holographic model of momentum relaxation
• Sound velocity bound and neutron stars
• Universal $T$-linear resistivity and Planckian limit in overdoped cuprates
• Radial and elliptic flow in Pb+Pb collisions at the Large Hadron Collider from viscous hydrodynamic
• Universal bounds on current fluctuations
• Holographic Q-lattices
• Universal Charge Diffusion and the Butterfly Effect
• Scrambling and thermalization in a diffusive quantum many-body system
• Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma
• Holography without translational symmetry
• Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
• Momentum relaxation in holographic massive gravity
• Momentum dissipation and effective theories of coherent and incoherent transport
• Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
• Planckian dissipation, minimal viscosity and the transport in cuprate strange metals
• Quantum chaos on a critical Fermi surface
• Thermal transport and phonon hydrodynamics in strontium titanate
• Theory of a Planckian metal
• Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing
• Thermal diffusivity and chaos in metals without quasiparticles
• Strongly-coupled anisotropic gauge theories and holography
• The Shear Viscosity to Entropy Ratio: A Status Report
• Universal Diffusion in Incoherent Black Holes
• On the convergence of the gradient expansion in hydrodynamics
• Quantum butterfly effect in weakly interacting diffusive metals
• Holography and hydrodynamics with weakly broken symmetries
• Holographic Phonons
• Non-universal shear viscosity from Einstein gravity
• Absence of disorder-driven metal-insulator transitions in simple holographic models
• Viscosity bound violation in holographic solids and the viscoelastic response
• Gapped momentum states
• Solid Holography and Massive Gravity
• Spread of entanglement in a Sachdev-Ye-Kitaev chain
• A bound on the speed of sound from holography
• An upper bound on transport
• Entropy production, viscosity bounds and bumpy black holes
• Minimal quantum viscosity from fundamental physical constants
• Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains
• Diffusion and Chaos from near AdS${}_2$ horizons
• Fluctuation-Dissipation theorems and entropy production in relaxational systems
• Black hole elasticity and gapped transverse phonons in holography
• Theory of diffusive fluctuations
• Frenetic bounds on the entropy production
• A Practical Mini-Course on Applied Holography
• Charge diffusion and the butterfly effect in striped holographic matter
• Effective holographic theory of charge density waves
• Generalised global symmetries in states with dynamical defects: the case of the transverse sound in field theory and holography
• Breaking the sound barrier in AdS/CFT
• The Shear Viscosity in Anisotropic Phases
• Higher derivative corrections to incoherent metallic transport in holography
• Diffusivities bounds and chaos in holographic Horndeski theories
• Hawking-Page transition in holographic massive gravity
• Observation of quantum-limited spin transport in strongly interacting two-dimensional Fermi gases
• Pinning of longitudinal phonons in holographic spontaneous helices
• Shear viscosity in holography and effective theory of transport without translational symmetry
• Holography and the speed of sound at high temperatures
• Operator size at finite temperature and Planckian bounds on quantum dynamics
• Phonons as Goldstone Bosons
• Sound propagation and quantum limited damping in a two-dimensional Fermi gas
• Universal Properties of the Langevin Diffusion Coefficients
• A Unified Description of Translational Symmetry Breaking in Holography
• Thermal diffusivity and butterfly velocity in anisotropic Q-Lattice models
• Gapless and gapped holographic phonons
• On holographic disorder-driven metal-insulator transitions
• Zoology of Solid & Fluid Holography : Goldstone Modes and Phase Relaxation
• Slow relaxation and diffusion in holographic quantum critical phases
• Hydrodynamics for charge density waves and their holographic duals
• Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
• Conjecture on the Butterfly Velocity across a Quantum Phase Transition
• On the Planckian bound for heat diffusion in insulators
• Effective holographic theories of momentum relaxation and violation of conductivity bound
• Thermal Diffusivity Above Mott-Ioffe-Regel Limit
• Holographic Shear Viscosity in Hyperscaling Violating Theories without Translational Invariance
• Quark-Gluon Plasma at RHIC and the LHC: Perfect Fluid too Perfect?
• Longitudinal Sound and Diffusion in Holographic Massive Gravity
• Maxwell interpolation and close similarities between liquids and holographic models
• Low frequency propagating shear waves in holographic liquids
• Thermalization and Possible Signatures of Quantum Chaos in Complex Crystalline Materials
• Thermal Diffusion and Quantum Chaos in Neutral Magnetized Plasma
• Homogeneous Holographic Viscoelastic Models & Quasicrystals
• Conformal solids and holography
• A simple holographic model for spontaneous breaking of translational symmetry
• Viscoelastic Dynamics in Holography
• A lower bound to the thermal diffusivity of insulators
• Quantum butterfly effect in polarized Floquet systems
• Universal Formula for the Holographic Speed of Sound
• Elasticity bounds from Effective Field Theory
• On the Hydrodynamic Description of Holographic Viscoelastic Models
• Nonlinear Oscillatory Shear Tests in Viscoelastic Holography
• Hydrodynamics of broken global symmetries in the bulk
• Weyl corrections to diffusion and chaos in holography
• Field Theory of Dissipative Systems with Gapped Momentum States
• Collective diffusion and quantum chaos in holography
• Quantum critical scaling and holographic bound for transport coefficients near Lifshitz points
• Holographic Viscoelastic Hydrodynamics
• Scale invariant solids
• Towards a proof of the Weak Gravity Conjecture
• Holographic Butterfly Effect and Diffusion in Quantum Critical Region
• Spatially Modulated Vacua in a Lorentz-invariant Scalar Field Theory
• Universal Behaviors of Speed of Sound from Holography
• Constraints on hydrodynamics from many-body quantum chaos
• Charged BTZ-like black hole solutions and the diffusivity-butterfly velocity relation
• Temporally, Spatially or Light-like Modulated Vacua in Lorentz Invariant Theories
• Violation of the viscosity/entropy bound in translationally invariant non-Fermi liquids
• On the Universality of the Chern-Simons Diffusion Rate
• Shear hydrodynamics, momentum relaxation, and the KSS bound
• Viscosity Bound Violation in Viscoelastic Fermi Liquids

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• Universal lower bounds on energy and momentum diffusion in liquids
• On the interplay between magnetic field and anisotropy in holographic QCD
• Effective Field Theory for Quasicrystals and Phasons Dynamics
• Pseudo-spontaneous $U(1)$ Symmetry Breaking in Hydrodynamics and Holography
• The breakdown of magneto-hydrodynamics near AdS${}_2$ fixed point and energy diffusion bound
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• On the universality of AdS${}_2$ diffusion bounds and the breakdown of linearized hydrodynamics
• T-linear resistivity, optical conductivity and Planckian transport for a holographic local quantum critical metal in a periodic potential
• Upper bound of the charge diffusion constant in holography
• Magnetotransport and Complexity of Holographic Metal-Insulator Transitions
• Holographic Supersolids
• Phase relaxation and pattern formation in holographic gapless charge density waves
• Black Rubber and the Non-linear Elastic Response of Scale Invariant Solids
• Holographic QCD and magnetic fields
• Scalarization of planar anti de Sitter charged black holes in Einstein-Maxwell-Scalar theory
• Quasinormal modes of a semi-holographic black brane and thermalization
• Strongly coupled phonon fluid and Goldstone modes in an anharmonic quantum solid: transport and chaos
• Aspects of univalence in holographic axion models
• Holographic phonons by gauge-axion coupling
• Breaking rotations without violating the KSS viscosity bound
• Quartic Horndeski, planar black holes, holographic aspects and universal bounds
• Transport properties in the Horndeski holographic two-currents model
• Thermo-electric Transport of Dyonic Gubser-Rocha Black Holes
• Transverse Goldstone mode in holographic fluids with broken translations
• Transseries for causal diffusive systems
• Alternating current conductivity and superconducting properties of the holographic effective theory
• Hydrodynamic modes in holographic multiple-axion model
• Conductivity and Shear Viscosity of $arcsin$-Yang-Mills AdS Black Brane
• Shear viscoelasticity in anisotropic holographic axion model