Dynamics at the many-body localization transition

E. J. Torres-Herrera and Lea F. Santos
Phys. Rev. B 92, 014208 – Published 24 July 2015

Abstract

The isolated one-dimensional Heisenberg model with static random magnetic fields has become paradigmatic for the analysis of many-body localization. Here, we study the dynamics of this system initially prepared in a highly-excited nonstationary state. Our focus is on the probability for finding the initial state later in time, the so-called survival probability. Two distinct behaviors are identified before equilibration. At short times, the decay is very fast and equivalent to that of clean systems. It subsequently slows down and develops a power-law behavior with an exponent that coincides with the multifractal dimension of the eigenstates.

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  • Received 26 January 2015
  • Revised 10 June 2015

DOI:https://doi.org/10.1103/PhysRevB.92.014208

©2015 American Physical Society

Authors & Affiliations

E. J. Torres-Herrera1,2 and Lea F. Santos1,3

  • 1Department of Physics, Yeshiva University, New York, New York 10016, USA
  • 2Instituto de Física, Universidad Autónoma de Puebla, Apt. Postal J-48, Puebla, Puebla, 72570, Mexico
  • 3ITAMP, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA

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Issue

Vol. 92, Iss. 1 — 1 July 2015

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