Thermalization with chemical potentials, and higher spin black holes
arXiv:1501.04580 · doi:10.1007/JHEP08(2015)013
Abstract
We study the long time behaviour of local observables following a quantum quench in 1+1 dimensional conformal field theories possessing additional conserved charges besides the energy. We show that the expectation value of an arbitrary string of {\it local} observables supported on a finite interval exponentially approaches an equilibrium value. The equilibrium is characterized by a temperature and chemical potentials defined in terms of the quenched state. For an infinite number of commuting conserved charges, the equilibrium ensemble is a generalized Gibbs ensemble (GGE). We compute the thermalization rate in a systematic perturbation in the chemical potentials, using a new technique to sum over an infinite number of Feynman diagrams. The above technique also allows us to compute relaxation times for thermal Green's functions in the presence of an arbitrary number of chemical potentials. In the context of a higher spin (hs[λ]) holography, the partition function of the final equilibrium GGE is known to agree with that of a higher spin black hole. The thermalization rate from the CFT computed in our paper agrees with the quasinormal frequency of a scalar field in this black hole.
22 pages (+ 8 pages of appendix & refs), 4 figures; (v2) references added, notational simplification introduced in equations (63)-(65)
References in corpus (21)
- Thermalization and its mechanism for generic isolated quantum systems
- Quantum Quench in the Transverse Field Ising Chain
- Exact relaxation in a class of non-equilibrium quantum lattice systems
- Dephasing and the steady state in quantum many-particle systems
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Thermalization of Strongly Coupled Field Theories
- Entanglement entropy of two disjoint intervals in conformal field theory II
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
- Holographic Thermalization, stability of AdS, and the Fermi-Pasta-Ulam-Tsingou paradox
- Quantum quench in the sine-Gordon model
- Thermalization and Revivals after a Quantum Quench in Conformal Field Theory
- Renormalization group, secular term resummation and AdS (in)stability
- Renormalization, averaging, conservation laws and AdS (in)stability
- Universal scaling in fast quantum quenches in conformal field theories
- The arrow of time, black holes, and quantum mixing of large N Yang-Mills theories
- Universality in fast quantum quenches
- Weak Field Collapse in AdS: Introducing a Charge Density
- The inside outs of AdS(3)/CFT(2): Exact AdS wormholes with entangled CFT duals
- Black Holes in the 3D Higher Spin Theory and Their Quasi Normal Modes
- Resummation of scalar correlator in higher spin black hole background
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- Quantum quenches in 1+1 dimensional conformal field theories
- On thermality of CFT eigenstates
- Quantum Quenches and Thermalization in SYK models
- Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT
- Entanglement hamiltonian evolution during thermalization in conformal field theory
- Comments on Thermalization in 2D CFT
- Dissimilarities of reduced density matrices and eigenstate thermalization hypothesis
- Quantum Quenches in Free Field Theory: Universal Scaling at Any Rate
- Generalized Gibbs Ensemble of 2d CFTs at large central charge in the thermodynamic limit
- Quantum quench and thermalization of one-dimensional Fermi gas via phase space hydrodynamics
- An exactly solvable quench protocol for integrable spin models
- Entanglement versus entwinement in symmetric product orbifolds
- Equilibration and GGE in interacting-to-free Quantum Quenches in dimensions d>1
- Eternal Higher Spin Black Holes: a Thermofield Interpretation
- Chaotic and Thermal Aspects in the Highly Excited String S-Matrix
- A Microscopic Model of Black Hole Evaporation in Two Dimensions
- Thermalization and non-monotonic entanglement growth in an exactly solvable model
- Order parameter dynamics of the non-linear sigma model in the large limit
- Quantum quench and thermalization to GGE in arbitrary dimensions and the odd-even effect
- Subsystem Evolution Speed as Indicator of Relaxation
- Time evolution of effective central charge and signatures of RG irreversibility after a quantum quench