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Relaxation dynamics of disordered spin chains: localization and the existence of a stationary state
Simone Ziraldo1, Alessandro Silva, Giuseppe E Santoro
1SISSA, Via Bonomea 265, I-34136 Trieste, Italy.
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.
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