Black holes and non-relativistic quantum systems
arXiv:0809.2020 · doi:10.1103/PhysRevLett.102.011602
Abstract
We describe black holes in d+3 dimensions, whose thermodynamic properties correspond to those of a scale invariant non-relativistic d+1 dimensional quantum system with dynamical exponent z=2. The gravitational model involves a massive abelian vector field and a scalar field, in addition to the metric. The energy per particle in the dual theory is , exactly as in a non-interacting Fermi gas, while the ratio of shear viscosity to entropy density is .
8 pages; v2: discussion modified
References in corpus (23)
- Many-Body Physics with Ultracold Gases
- Large N Field Theories, String Theory and Gravity
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- QCD and a Holographic Model of Hadrons
- Gravity Duals of Lifshitz-like Fixed Points
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Superfluid Fermi Gases with Large Scattering Length
- Schwinger-Keldysh Propagators from AdS/CFT Correspondence
- Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit
- Comments on string theory backgrounds with non-relativistic conformal symmetry
- Heating up Galilean holography
- Hot Spacetimes for Cold Atoms
- On universality of stress-energy tensor correlation functions in supergravity
- Epsilon expansion for a Fermi gas at infinite scattering length
- Renormalization group fixed points, universal phase diagram, and 1/N expansion for quantum liquids with interactions near the unitarity limit
- Conformal Invariance for Non-Relativistic Field Theory
- On the spectrum of nonrelativistic AdS/CFT
- The shear viscosity of gauge theory plasma with chemical potentials
- Fermi gas near unitarity around four and two spatial dimensions
- Cold dilute neutron matter on the lattice II: Results in the unitary limit
- Black holes and universality classes of critical points
Cited by in corpus (47)
- Non-relativistic holography
- Galilean Conformal Algebras and AdS/CFT
- Holographic quantum matter
- Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
- Black holes in asymptotically Lifshitz spacetime
- Symmetry Breaking Using Value Precedence
- Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent
- Holographic stress tensor for non-relativistic theories
- Transport Properties of Holographic Defects
- Correlation Functions in Non-Relativistic Holography
- Thermodynamics of black branes in asymptotically Lifshitz spacetimes
- Quantum criticality and black holes
- Hyperscaling-Violation on Probe D-Branes
- On AdS/CFT of Galilean Conformal Field Theories
- Supersymmetric solutions for non-relativistic holography
- Correlation functions in the non-relativistic AdS/CFT correspondence
- Holographic superconductors with Lifshitz scaling
- Super Galilean conformal algebra in AdS/CFT
- Branes at Quantum Criticality
- Non-relativistic Branes
- Thermodynamics of Einstein-Proca AdS Black Holes
- Non-relativistic CFT and Semi-classical Strings
- The particle number in Galilean holography
- Thermodynamics of nonlinear charged Lifshitz black branes with hyperscaling violation
- Asymptotic symmetries of Schrödinger spacetimes
- Fermions in non-relativistic AdS/CFT correspondence
- Charged Schrodinger Black Holes
- New (p+1) Dimensional Non-relativistic Theories from Euclidean Stable and Unstable Dp-Branes
- Lifshitz Topological Black Holes
- Non-relativistic D3-brane in the presence of higher derivative corrections
- Symmetries and currents of the ideal and unitary Fermi gases
- Novel Features of the Transport Coefficients in Lifshitz Black Branes
- Non-relativistic supersymmetric Dp branes
- Mimic the optical conductivity in disordered solids via gauge/gravity duality
- Hydrodynamic transport in the Luttinger-Abrikosov-Beneslavskii non-Fermi liquid
- Charged, conformal non-relativistic hydrodynamics
- Thermodynamics of Holographic Defects
- Holographic two-point functions in a disorder system
- Ideal gas matching for thermal Galilean holography
- Schrodinger Fermi Liquids
- Open String in Non-Relativistic Background
- Lifshitz and hyperscaling violated Yang-Mills-dilaton black holes
- Holographic charge diffusion in non relativistic branes
- The influence of spin-flip scattering on the preparation and detection of a single spin state in a quantum dot attached to a spin battery
- A holographic realization of correlation and mutual information
- Note About Hamiltonian Dynamics of String in Non-Relativistic D3-Brane Background
- Effective Lifshitz black holes, hydrodynamics, and transport coefficients in fluid/gravity correspondence