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

TL;DR

This paper explores how stochastic resetting in non-interacting quantum spin systems induces quantum correlations and collective behaviors, potentially useful for quantum metrology, without needing control over coherent interactions.

Contribution

It demonstrates that stochastic resetting can generate quantum correlations and collective phenomena in non-interacting systems, offering a robust method for creating non-equilibrium quantum states.

Findings

Resetting induces long-range quantum and classical correlations.

Conditional reset protocols lead to collective behavior akin to phase transitions.

The approach is implementable on existing quantum simulators and devices.

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.