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Space-Time Correlations in Monitored Kinetically Constrained Discrete-Time Quantum Dynamics
Marcel Cech1, María Cea2,3, Mari Carmen Bañuls2,3
1Universität Tübingen, Center for Integrated Quantum Science and Technology, Institut für Theoretische Physik and , Auf der Morgenstelle 14, 72076 Tübingen, Germany.
Physical Review Letters
|June 27, 2025
Summary
State-of-the-art quantum simulators enable new studies of nonequilibrium phenomena. This research uses discrete-time quantum dynamics to reveal complex behaviors, offering insights into quantum system evolution.
Area of Science:
- Quantum Physics
- Many-Body Systems
- Quantum Simulation
Background:
- Advanced quantum simulators offer precise control over interactions and midcircuit measurements.
- These capabilities are crucial for investigating complex nonequilibrium quantum phenomena.
Purpose of the Study:
- To explore intriguing nonequilibrium phenomena in kinetically constrained many-body quantum systems.
- To demonstrate the utility of Rydberg quantum simulators for such studies.
Main Methods:
- Utilizing discrete-time evolution generated by repeated entanglement with an auxiliary environment.
- Monitoring and resetting the auxiliary environment after each time step.
- Applying tools from large deviation theory to characterize dynamical heterogeneity.
Main Results:
- Observed coexistence of fast and slow space-time regions in stochastic system state realizations.
- Demonstrated that the time record of environment measurements probes dynamical heterogeneity.
- The system exhibits an uncorrelated infinite-temperature average stationary state despite complex dynamics.
Conclusions:
- Established a large deviation framework for discrete-time open quantum many-body systems.
- This framework effectively characterizes complex dynamics and collective phenomena in quantum processors and simulators.
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