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Many-Body Localization and the Emergence of Quantum Darwinism.

Nicolás Mirkin1, Diego A Wisniacki1

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Disorder in quantum systems enhances Quantum Darwinism (QD), enabling observers to agree on system states. A disordered environment improves objectivity, crucial for understanding quantum information in large systems.

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Area of Science:

  • Quantum physics
  • Quantum information theory

Background:

  • Quantum Darwinism (QD) explains how objective classical information emerges from quantum systems via environmental interactions.
  • Decoherence in quantum systems leads to information proliferation in the environment, allowing for consensus among observers.

Purpose of the Study:

  • To investigate the impact of environmental disorder on the emergence and effectiveness of Quantum Darwinism.
  • To quantify the relationship between disorder, objectivity, and environmental properties.

Main Methods:

  • Introduction of a 'lack of redundancy' measure to quantify objectivity.
  • Analogy drawn between this measure and entanglement entropy (EE) of environmental eigenstates.
  • Estimation of the many-body mobility edge using the Darwinistic measure.

Main Results:

  • Highly disordered environments are found to be significantly beneficial for Quantum Darwinism.
  • Objectivity shows a critical dependence on environmental size beyond a certain disorder level.
  • Disorder can mitigate the loss of redundancy caused by intra-environment interactions.

Conclusions:

  • Environmental disorder plays a critical role in establishing objective quantum information, especially in thermodynamically sized environments.
  • The study provides a method to estimate the many-body mobility edge through QD metrics.
  • Disordered quantum evolution offers a potential pathway to preserve information redundancy.