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Universal Kardar-Parisi-Zhang Dynamics in Integrable Quantum Systems
Bingtian Ye1,2, Francisco Machado1,3, Jack Kemp1
1Department of Physics, University of California, Berkeley, California 94720, USA.
Physical Review Letters
|December 23, 2022
Summary
Spin transport in integrable spin chains follows Kardar-Parisi-Zhang (KPZ) dynamics, even in supersymmetric and driven models. This study provides numerical evidence and proposes experiments to investigate KPZ scaling functions in SU(N) spin models.
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Systems
- Statistical Mechanics
Background:
- The spin-1/2 Heisenberg model, solved via Bethe ansatz, exhibits anomalous high-temperature transport.
- Recent observations link its spin transport to Kardar-Parisi-Zhang (KPZ) universality.
Purpose of the Study:
- To test the conjecture that KPZ dynamics occur in all integrable spin chains with non-Abelian symmetry.
- To explore the generality of KPZ transport in various quantum systems.
Main Methods:
- Extensive numerical simulations of spin chains.
- Analysis of transport dynamics in supersymmetric and periodically driven models.
Main Results:
- Provided strong numerical evidence supporting the KPZ universality conjecture for integrable spin chains.
- Demonstrated that KPZ transport is a generic phenomenon, observed in diverse models.
Conclusions:
- KPZ dynamics are prevalent in integrable spin chains with non-Abelian symmetry.
- The findings motivate experimental investigations of KPZ scaling functions in optical lattice systems.
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