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Updated: Feb 19, 2026
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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
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A perspective on quantum integrability in many-body-localized and Yang-Baxter systems
Joel E Moore1,2
1Department of Physics, University of California, Berkeley, CA 94720, USA jemoore@berkeley.edu.
Summary
Many-body localized and quantum integrable systems exhibit unique behaviors due to numerous conservation laws, preventing thermalization. This study explores methods to understand their hydrodynamic evolution from local to global equilibrium.
Area of Science:
- Quantum many-particle dynamics
- Condensed matter physics
- Statistical mechanics
Background:
- Systems with many conservation laws challenge conventional thermalization theories.
- Many-body localization (MBL) and quantum integrability are key examples.
- Interactions in MBL systems lead to unique phenomena distinct from Anderson localization.
Purpose of the Study:
- To investigate the behavior of quantum systems with abundant conservation laws.
- To explore modifications to thermalization in such systems.
- To present a practical approach for analyzing hydrodynamic evolution.
Main Methods:
- Analysis of many-body localized systems.
- Study of quantum integrable models (e.g., XXZ spin chain, delta-function Bose gas).
- Development of methods for hydrodynamic evolution from local to global equilibrium.
Main Results:
- Localization persists in interacting many-body localized systems, inhibiting thermalization.
- Infinite conservation laws in integrable models also modify conventional thermalization.
- A practical framework is proposed for treating hydrodynamic evolution in these complex systems.
Conclusions:
- Systems with numerous conservation laws exhibit non-ergodic behavior.
- Understanding these systems requires going beyond standard thermalization paradigms.
- The presented methods offer a way to analyze the dynamics of these exotic quantum states.
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