http://www.cnr.it/ontology/cnr/individuo/prodotto/ID317974
Relaxation and thermalization after a quantum quench: Why localization is important (Articolo in rivista)
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- Label
- Relaxation and thermalization after a quantum quench: Why localization is important (Articolo in rivista) (literal)
- Anno
- 2013-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1103/PhysRevB.87.064201 (literal)
- Alternative label
Ziraldo, Simone; Santoro, Giuseppe E. (2013)
Relaxation and thermalization after a quantum quench: Why localization is important
in Physical review. B, Condensed matter and materials physics
(literal)
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- Ziraldo, Simone; Santoro, Giuseppe E. (literal)
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- International School for Advanced Studies; CNR IOM Democritos Natl Simulat Ctr; Abdus Salam International Centre for Theoretical Physics (literal)
- Titolo
- Relaxation and thermalization after a quantum quench: Why localization is important (literal)
- Abstract
- We study the unitary dynamics and the thermalization properties of free-fermion-like Hamiltonians after a sudden quantum quench, extending the results of S. Ziraldo et al. [Phys. Rev. Lett. 109, 247205 (2012)]. With analytical and numerical arguments, we show that the existence of a stationary state and its description with a generalized Gibbs ensemble (GGE) depend crucially on the observable considered (local versus extensive) and on the localization properties of the final Hamiltonian. We present results on two one-dimensional (1D) models, the disordered 1D fermionic chain with long-range hopping and the disordered Ising/XY spin chain. We analytically prove that, while time averages of one-body operators are perfectly reproduced by GGE (even for finite-size systems, if time integrals are extended beyond revivals), time averages of many-body operators might show clear deviations from the GGE prediction when disorder-induced localization of the eigenstates is at play. DOI: 10.1103/PhysRevB.87.064201 (literal)
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