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Nonmesonic Quantum Many-Body Scars in a 1D Lattice Gauge Theory
Zi-Yong Ge1, Yu-Ran Zhang2, Franco Nori1,3,4
1Theoretical Quantum Physics Laboratory, Cluster for Pioneering Research, RIKEN, Wako-shi, Saitama 351-0198, Japan.
Physical Review Letters
|June 21, 2024
Summary
We studied meson excitations in quantum many-body scars within a 1D lattice gauge theory. We found a crossover from stable mesons to nonmesonic states, detectable via quench dynamics in quantum simulators.
Area of Science:
- Quantum Field Theory
- Condensed Matter Physics
- Quantum Information
Background:
- Quantum many-body scars exhibit unusual non-ergodic behavior.
- Lattice gauge theories are crucial for understanding fundamental forces.
- Meson excitations are particle-antiparticle bound states.
Purpose of the Study:
- Investigate meson excitations in quantum many-body scars.
- Explore the transition from mesonic to nonmesonic states.
- Identify experimental signatures for detecting this crossover.
Main Methods:
- Developed a string representation for the physical Hilbert space.
- Analyzed gauge-invariant spin exchange correlation functions.
- Simulated quench dynamics from low-entangled initial states.
Main Results:
- Identified stable mesons via exponential decay in correlation functions for small system sizes.
- Observed emergence of nonmesonic excitations indicated by power-law decay for larger sizes.
- Demonstrated that quench dynamics can reveal the mesonic-nonmesonic crossover.
Conclusions:
- Quantum many-body scars in lattice gauge theories host both mesonic and nonmesonic excitations.
- The transition between these states is experimentally accessible.
- Nonmesonic states can also lead to ergodicity breaking in these systems.
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