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Space-Time Correlations in Monitored Kinetically Constrained Discrete-Time Quantum Dynamics.

Marcel Cech1, María Cea2,3, Mari Carmen Bañuls2,3

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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.

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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.