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Many-body localization in a disordered quantum Ising chain.

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Many-body localization (MBL) in isolated quantum systems is challenging to study. This research uses entanglement properties to estimate critical disorder strength and supports a new MBL phase diagram.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Theory

Background:

  • Many-body localization (MBL) describes the persistence of Anderson localization in interacting quantum systems.
  • Extracting the critical disorder strength for the MBL transition is difficult due to system-size dependent drifts.

Purpose of the Study:

  • To investigate entanglement properties as reliable probes for the MBL transition.
  • To estimate the critical disorder strength and its energy dependence in a disordered quantum Ising chain.
  • To analyze a separate spin-glass transition at high disorder.

Main Methods:

  • Calculating the variance of half-chain entanglement entropy for exact eigenstates.
  • Analyzing the long-time change in entanglement after a local quench from an exact eigenstate.
  • Numerical investigation in a disordered quantum Ising chain.

Main Results:

  • Entanglement properties show promise for studying the MBL transition.
  • Estimates for critical disorder strength and its energy dependence were obtained.
  • Evidence suggests a distinct spin-glass transition at large disorder strengths.

Conclusions:

  • Numerical results support a proposed phase diagram for MBL with localization-protected quantum order.
  • Entanglement-based measures offer a viable pathway for future MBL research.