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Updated: Jul 28, 2025

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
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Identifying many-body localization transition through global quantum discord.

Longhui Shen1, Jia Bao1, Bin Guo1

  • 1Department of Physics, Wuhan University of Technology, Wuhan 430070, People's Republic of China.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|May 30, 2023
PubMed
Summary

We studied many-body localization transitions using global quantum discord (GQD). GQD proved more robust than entanglement entropy in identifying these transitions, even with finite-size effects.

Keywords:
disorderentanglement entropyglobal quantum discordmany-body localizationscaling analysis

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Many-body localization (MBL) describes the failure of quantum systems to thermalize.
  • Investigating MBL transitions is crucial for understanding quantum chaos and disorder effects.
  • Global quantum discord (GQD) is an emerging measure of quantum correlations.

Purpose of the Study:

  • To employ global quantum discord (GQD) for characterizing many-body localization (MBL) transitions.
  • To compare the efficacy of GQD with half-chain entanglement entropy (EE) in MBL studies.
  • To determine the MBL critical point in a spin-1/2 Heisenberg chain with a random magnetic field.

Main Methods:

  • Utilizing global quantum discord (GQD) as a probe for MBL.
  • Performing finite-size scaling analysis on disorder-averaged GQD data.
  • Comparing GQD results with established half-chain entanglement entropy (EE) methods.

Main Results:

  • The disorder-averaged GQD successfully estimated the MBL critical point at Wc ≈ 3.8.
  • GQD demonstrated a superior ability to exclude finite-size interference compared to EE.
  • A critical point was identified using GQD, consistent with theoretical predictions.

Conclusions:

  • Global quantum discord (GQD) is a robust and effective tool for identifying many-body localization (MBL) transitions.
  • GQD offers advantages over entanglement entropy in characterizing MBL due to its resilience to finite-size effects.
  • This study provides a new perspective on using quantum correlations to probe complex quantum phenomena.