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.

Relaxation dynamics of disordered spin chains: localization and the existence of a stationary state / Ziraldo, Simone; Silva, Alessandro; Santoro, Giuseppe Ernesto. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 109:24(2012), pp. 247205.1-247205.5. [10.1103/PhysRevLett.109.247205]

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

Ziraldo, Simone;Silva, Alessandro;Santoro, Giuseppe Ernesto
2012-01-01

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.
2012
109
24
1
5
247205
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.109.247205
https://arxiv.org/abs/1206.4787
Ziraldo, Simone; Silva, Alessandro; Santoro, Giuseppe Ernesto
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12561
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