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Many-body localization, symmetry and topology
S A Parameswaran1, Romain Vasseur2
1Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom.
Summary
Many-body localization in isolated systems can protect quantum order, enabling topological states outside of equilibrium. This review explores how symmetry and dimensionality influence this phenomenon, preventing thermalization and preserving quantum correlations.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Statistical Mechanics
Background:
- Out-of-equilibrium systems challenge traditional thermodynamics.
- Topological order typically requires specific ground states.
- Many-body localization (MBL) prevents thermalization in isolated quantum systems.
Purpose of the Study:
- Review recent advancements in out-of-equilibrium topological states.
- Explain how many-body localization protects quantum order.
- Investigate the role of symmetry and dimensionality in MBL-protected topological phases.
Main Methods:
- Literature review of theoretical and experimental studies.
- Conceptual analysis of many-body localization.
- Exploration of symmetry and dimensionality effects.
Main Results:
- Many-body localization can stabilize topological order in isolated systems.
- MBL prevents the washing out of quantum correlations necessary for topological states.
- Eigenstate properties in MBL systems can exhibit topological order across the spectrum.
Conclusions:
- Many-body localization offers a route to realizing topological phases out of equilibrium.
- Symmetry and dimensionality are crucial factors in understanding the scope of MBL's protective capabilities.
- Further research is needed to fully map the phase diagram of MBL-driven topological states.
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