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Relaxation Dynamics of Disordered Spin Chains: Localization and the Existence of a Stationary State

2012; American Physical Society; Volume: 109; Issue: 24 Linguagem: Inglês

10.1103/physrevlett.109.247205

1092-0145

Simone Ziraldo, Alessandro Silva, Giuseppe E. Santoro,

Quantum Chromodynamics and Particle Interactions

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.