Relaxation dynamics of disordered spin chains: localization and the existence of a stationary state.

@article{Ziraldo2012RelaxationDO,
  title={Relaxation dynamics of disordered spin chains: localization and the existence of a stationary state.},
  author={Simone Ziraldo and Alessandro Silva and Giuseppe E. Santoro},
  journal={Physical review letters},
  year={2012},
  volume={109 24},
  pages={
          247205
        }
}
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… 

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