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