Relaxation Dynamics of Disordered Spin Chains: Localization and the Existence of a Stationary State
arXiv:1206.4787 · doi:10.1103/PhysRevLett.109.247205
Abstract
We study the unitary relaxation dynamics of disordered spin chains following a sudden quench of the Hamiltonian. We give analytical arguments, corroborated by specific numerical examples, to show that the existence of a stationary state depends crucially on the spectral and localization properties of the final Hamiltonian, and not on the initial state. We test these ideas on integrable one-dimensional models of the Ising or XY class, but argue more generally on their validity for more complex (nonintegrable) models.
5 pages, 3 figures
References in corpus (10)
- Many-Body Physics with Ultracold Gases
- Thermalization and its mechanism for generic isolated quantum systems
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Quantum Quench in the Transverse Field Ising Chain
- Foundation of Statistical Mechanics under experimentally realistic conditions
- Dephasing and the steady state in quantum many-particle systems
- Proof of the Ergodic Theorem and the H-Theorem in Quantum Mechanics
- Exploring local quantum many-body relaxation by atoms in optical superlattices
- Quenches in a quasi-disordered integrable lattice system: Dynamics and statistical description of observables after relaxation
- Correlations in an expanding gas of hard-core bosons