Universal Features of the Excitation Spectrum in Generalized Gibbs Distribution Ensemble
arXiv:1205.5491 · doi:10.1103/PhysRevB.86.115448
Abstract
It is shown that excitation spectra of Generalized Gibbs Ensembles (GGE) of one-dimensional integrable models with isotopic symmetry contain universal features insensitive to details of the distribution. Namely, the low energy limit of the subsystem of isotopic (for instance, spin) excitations is described by the effective action of a ferromagnet at thermodynamic equilibrium with a single temperature and with the stiffness determined by the initial conditions. The condition of universality is that the entropy per excited particle is small.
9 pages, 2 figures; revised version
References in corpus (19)
- Many-Body Physics with Ultracold Gases
- Thermalization and its mechanism for generic isolated quantum systems
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- 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
- Generalized Thermalization in an Integrable Lattice System
- Ultracold fermions and the SU(N) Hubbard model
- Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
- Alkaline-Earth-Metal Atoms as Few-Qubit Quantum Registers
- Linear response theory for a pair of coupled one-dimensional condensates of interacting atoms
- Thermalization and Quantum Correlations in Exactly Solvable Models
- Generalized TBA and generalized Gibbs
- Quenches in quantum many-body systems: One-dimensional Bose-Hubbard model reexamined
- Probing Interactions between Ultracold Fermions
- Relaxation dynamics in the gapped XXZ spin-1/2 chain
- Quantum Noise Analysis of Spin Systems Realized with Cold Atoms
- Thermalization and dissipation in out of equilibrium quantum systems: A perturbative renormalization group approach
- Quantum polarization spectroscopy of ultracold spinor gases
Cited by in corpus (17)
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Reduced Density Matrix after a Quantum Quench
- "Light-cone" dynamics after quantum quenches in spin chains
- Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain
- Validity of the GGE for quantum quenches from interacting to noninteracting models
- Analytic results for a quantum quench from free to hard-core one dimensional bosons
- Stationary behaviour of observables after a quantum quench in the spin-1/2 Heisenberg XXZ chain
- Interaction quenches in the 1D Bose gas
- On Conservation Laws, Relaxation and Pre-relaxation after a Quantum Quench
- Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
- Quench action approach for releasing the Néel state into the spin-1/2 XXZ chain
- Quantum quenches from excited states in the Ising chain
- Stationary entanglement entropies following an interaction quench in 1D Bose gas
- Analytical expression for a post-quench time evolution of the one-body density matrix of one-dimensional hard-core bosons
- Global large time dynamics and the generalized Gibbs ensemble
- Quench echo and work statistics in integrable quantum field theories
- Quantum Correlations in Field Theory and Integrable Systems