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Random Matrix Statistics in Propagating Correlation Fronts of Fermions
Kazuya Fujimoto1, Tomohiro Sasamoto1
1Department of Physics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8551, Japan.
Physical Review Letters
|March 8, 2024
Summary
Researchers explored correlation fronts in noninteracting fermions. Dynamical fluctuations near these fronts connect to universal random matrix theory, revealing a new link in quantum dynamics.
Area of Science:
- Quantum physics
- Condensed matter theory
- Statistical mechanics
Background:
- Noninteracting fermions on a 1D lattice exhibit complex dynamics.
- Correlation fronts describe the propagation of quantum information.
- Understanding long-time behavior is crucial for quantum systems.
Purpose of the Study:
- To theoretically investigate the behavior of correlation fronts in noninteracting fermions.
- To analyze the statistical properties of dynamical fluctuations around these fronts.
- To uncover connections between quantum dynamics and random matrix theory.
Main Methods:
- Theoretical analysis of noninteracting fermions on a 1D lattice.
- Focus on systems starting from an alternating occupation state.
- Asymptotic analysis in the long-time regime.
Main Results:
- Correlation front propagation was studied theoretically.
- Dynamical fluctuations around correlation fronts were characterized.
- Universal correlation functions from random matrix theory were found to describe these fluctuations.
Conclusions:
- A novel connection between random matrix theory and quantum correlation propagation was established.
- The long-time dynamics of fluctuations around correlation fronts exhibit universal behavior.
- This work bridges concepts in quantum dynamics and statistical physics.
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