Regensburg 2013 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 3: Quantum Dynamics, Decoherence and Quantum Information II
DY 3.1: Talk
Monday, March 11, 2013, 15:00–15:15, H39
Many-body localization and thermalization in the full probability distribution function of observables — •Elena Canovi1, Davide Rossini2, Rosario Fazio2, Giuseppe Santoro3,4,5, and Alessandro Silva3,4 — 1Institut für Theoretische Physik III, Universität Stuttgart — 2NEST, Scuola Normale Superiore, and Istituto Nanoscienze-CNR, Piazza dei Cavalieri 7, I-56126 Pisa, Italy — 3SISSA, Via Bonomea 265, I-34136 Trieste, Italy — 4International Centre for Theoretical Physics (ICTP), PO Box 586, I-34014 Trieste, Italy — 5CNR-IOM Demoscritos National Simulation Center, Via Bonomea 265, I-34136 Trieste, Italy
We investigate the relation between thermalization following a quantum quench and many-body localization in quasiparticle space in terms of the long-time full distribution function of observables. In particular we focus on the long-time behavior of an integrable XXZ chain subject to an integrability- breaking perturbation. We study the effect of integrability-breaking on the asymptotic state after a quench of the anisotropy parameter, looking at the behavior of the full probability distribution of the transverse and longitudinal magnetization of a subsystem. We compare the resulting distributions with those obtained in equilibrium at an effective temperature set by the initial energy. We find that, while the long time distribution functions appear to always agree qualitatively with the equilibrium ones, quantitative agreement is obtained only when integrability is fully broken and the relevant eigenstates are diffusive in quasi-particle space.