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arxiv: 1206.4787 · v3 · pith:XDTFVOYPnew · submitted 2012-06-21 · ❄️ cond-mat.dis-nn · cond-mat.stat-mech

Relaxation Dynamics of Disordered Spin Chains: Localization and the Existence of a Stationary State

classification ❄️ cond-mat.dis-nn cond-mat.stat-mech
keywords statechainsdisordereddynamicsexistencehamiltonianlocalizationmodels
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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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