# 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…

## 30 Citations

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