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arXiv · 1506.08904

Survival Probability of the Néel State in Clean and Disordered Systems: an Overview

E. J. Torres-Herrera·Marco Távora·Lea F. Santos
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Abstract

In this work we provide an overview of our recent results about the quench dynamics of one-dimensional many-body quantum systems described by spin-1/2 models. To illustrate those general results, here we employ a particular and experimentally accessible initial state, namely the Néel state. Both cases are considered: clean chains without any disorder and disordered systems with static random on-site magnetic fields. The quantity used for the analysis is the probability for finding the initial state later in time, the so-called survival probability. At short times, the survival probability may decay faster than exponentially, Gaussian behaviors and even the limit established by the energy-time uncertainty relation are displayed. The dynamics at long times slows down significantly and shows a powerlaw behavior. For both scenarios, we provide analytical expressions that agree very well with our numerical results.

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E. J. Torres-Herrera, Marco Távora, Lea F. Santos. 2016-04-28. Survival Probability of the Néel State in Clean and Disordered Systems: an Overview. https://doi.org/10.1007/s13538-015-0366-3

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