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How a Small Quantum Bath Can Thermalize Long Localized Chains.

David J Luitz1, François Huveneers2, Wojciech De Roeck3

  • 1Department of Physics T42, Technische Universität München, James-Franck-Straße 1, 85748 Garching, Germany.

Physical Review Letters
|October 28, 2017
PubMed
Summary
This summary is machine-generated.

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A small ergodic region can destabilize a many-body localized phase. This occurs when the localization length surpasses a critical value, leading to delocalization of the entire system.

Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Many-body localization (MBL) describes a phase of matter immune to thermalization.
  • Griffiths regions, characterized by low disorder, can influence the stability of localized phases.
  • Understanding MBL stability is crucial for quantum information processing and fundamental physics.

Purpose of the Study:

  • To investigate the stability of the many-body localized phase in the presence of a single ergodic grain.
  • To determine the conditions under which an ergodic region can delocalize a localized system.
  • To develop a theoretical framework explaining the observed delocalization phenomenon.

Main Methods:

  • Numerical simulations of a quantum system comprising localized and ergodic regions (modeled with qubits).

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  • Analysis of the system's behavior as a function of localization length and disorder.
  • Development of a theoretical model based on local relaxation times and level spacing.
  • Main Results:

    • A small ergodic grain (even three qubits) can delocalize a localized chain.
    • Delocalization occurs when the localization length exceeds a critical value.
    • Numerical findings are in excellent agreement with the developed theoretical predictions.

    Conclusions:

    • The stability of the many-body localized phase is sensitive to the presence of even small ergodic regions.
    • A critical localization length determines the transition from localized to extended regimes.
    • The study provides a robust theoretical explanation for the destabilization of MBL by Griffiths regions.