Quench echo and work statistics in integrable quantum field theories
arXiv:1403.7450 · doi:10.1103/PhysRevE.90.052102
Abstract
We propose a boundary thermodynamic Bethe ansatz calculation technique to obtain the Loschmidt echo and the statistics of the work done when a global quantum quench is performed on an integrable quantum field theory. We derive an analytic expression for the lowest edge of the probability density function and find that it exhibits universal features, in the sense that its scaling form depends only on the statistics of excitations. We perform numerical calculations on the sinh-Gordon model, a deformation of the free boson theory, and we obtain that by turning on the interaction the density function develops fermionic properties. The calculations are facilitated by a previously unnoticed property of the thermodynamic Bethe ansatz construction.
14 pages, 7 figures. v2: acknowledgments added and some typos corrected, v3: extended discussion, new section added about exact low energy properties, published version
References in corpus (28)
- Many-Body Physics with Ultracold Gases
- Thermalization and its mechanism for generic isolated quantum systems
- Fluctuation theorems: Work is not an observable
- Quantum Quench in the Transverse Field Ising Chain
- Dynamics of Loschmidt echoes and fidelity decay
- Breakdown of thermalization in finite one-dimensional systems
- The Luttinger model following a sudden interaction switch-on
- 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
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Quantum quench dynamics of the Luttinger model
- Dynamical Correlations after a Quantum Quench
- Loschmidt Echo
- Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
- Validity of the GGE for quantum quenches from interacting to noninteracting models
- Linear response theory for a pair of coupled one-dimensional condensates of interacting atoms
- Quantum quench dynamics of the sine-Gordon model in some solvable limits
- Thermalization and Revivals after a Quantum Quench in Conformal Field Theory
- Quantum Quench from a Thermal Initial State
- Generalized TBA and generalized Gibbs
- Large deviations and universality in quantum quenches
- Dynamics in the Ising field theory after a quantum quench
- Exact infinite-time statistics of the Loschmidt echo for a quantum quench
- Mean values of local operators in highly excited Bethe states
- Finite-size corrections vs. relaxation after a sudden quench
- Universal energy distribution of quasi-particles emitted in a local time dependent quench
- Statistics of the Work in Quantum Quenches, Universality and the Critical Casimir Effect