Emergent quantum correlations and collective behavior in non-interacting quantum systems subject to stochastic resetting

Abstract

We investigate the dynamics of a non-interacting spin system, undergoing coherent Rabi oscillations, in the presence of stochastic resetting. We show that resetting generally induces long-range quantum and classical correlations both in the emergent dissipative dynamics and in the non-equilibrium stationary state. Moreover, for the case of conditional reset protocols -- where the system is reinitialized to a state dependent on the outcome of a preceding measurement -- we show that, in the thermodynamic limit, the spin system can feature collective behavior which results in a phenomenology reminiscent of that occurring in non-equilibrium phase transitions. The discussed reset protocols can be implemented on quantum simulators and quantum devices that permit fast measurement and readout of macroscopic observables, such as the magnetisation. Our approach does not require the control of coherent interactions and may therefore highlight a route towards a simple and robust creation of quantum correlations and collective non-equilibrium states, with potential applications in quantum enhanced metrology and sensing.

6+6 pages, 3 figures

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Cited by in corpus (22)

• Restart expedites quantum walk hitting times
• First detection probability in quantum resetting via random projective measurements
• Restart uncertainty relation for monitored quantum dynamics
• Generating Entanglement by Quantum Resetting
• Instability in the quantum restart problem
• Dynamically emergent correlations in bosons via quantum resetting
• Tight-binding model subject to conditional resets at random times
• Search with stochastic home-returns can expedite classical first passage under resetting
• Stochastic resetting in discrete-time quantum dynamics: steady states and correlations in few-qubit systems
• Optimal conditions for first passage of jump processes with resetting
• Resonances of recurrence time of monitored quantum walks
• Thermodynamic phases in first detected return times of quantum many-body systems
• Causality, localization, and universality of monitored quantum walks with long-range hopping
• Quest for optimal quantum resetting: protocols for a particle on a chain
• Dynamically emergent correlations in Brownian particles subject to simultaneous non-Poissonian resetting protocols
• Control of spatiotemporal chaos by stochastic resetting
• Drift-diffusive resetting search process with stochastic returns: speed-up beyond optimal instantaneous return
• Emerging correlations between diffusing particles evolving via simultaneous resetting with memory
• Exact fluctuation and long-range correlations in a single-file model under resetting
• Stationary state of harmonic chains driven by boundary resetting
• Error detection without post-selection in adaptive quantum circuits
• Optimal detection of quantum states via projective measurements