Dynamics of closed quantum systems under stochastic resetting

Abstract

We consider a closed quantum system subject to a stochastic resetting process. The generic expression for the resulting density operator is formulated for arbitrary resetting dynamics, fully characterised by the distribution of times between consecutive reset events. We analyse the behaviour of the state in the long-time regime, as well as the evolution of relevant quantities in the study of quantum coherence and closed- vs open-system dynamics. Our general results are complemented with examples involving paradigmatic resetting distributions, and special attention is paid to the two-level (qubit) system, in which we elucidate the effects of the renewal process on the speed of evolution toward an orthogonal state, and gain insight into the resetting applied to open systems.

arXiv commentAn analysis of closed quantum system subject to arbitrary stochastic resetting process is carried out

References in corpus (31)

• Nonequilibrium dynamics of closed interacting quantum systems
• Quantifying Coherence
• Quantum Coherence as a Resource
• The maximum speed of dynamical evolution
• Diffusion with Stochastic Resetting
• Stochastic Resetting and Applications
• Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
• From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
• First Passage Under Restart
• Measures and applications of quantum correlations
• The fundamental limit on the rate of quantum dynamics: the unified bound is tight
• Optimal stochastic restart renders fluctuations in first passage times universal
• Open-System Dynamics of Entanglement
• Experimental investigation of the dynamics of entanglement: Sudden death, complementarity, and continuous monitoring of the environment
• Diffusion with stochastic resetting at power-law times
• Quantum fidelity measures for mixed states
• Entanglement Transitions from Stochastic Resetting of Non-Hermitian Quasiparticles
• Stochastic thermodynamics of resetting
• Work fluctuations and Jarzynski equality in stochastic resetting
• Quantum dynamics with stochastic reset
• Ising model with stochastic resetting
• Transport properties and first arrival statistics of random searches with stochastic reset times
• Spectral properties of simple classical and quantum reset processes
• Dynamical Resource Theory of Quantum Coherence
• Dynamics of Quantum Coherence and Quantum Fisher Information After Sudden Quench
• Synchronization in the Kuramoto model in presence of stochastic resetting
• Diffusion processes with Gamma-distributed resetting and non-instantaneous returns
• Mitigating long transient time in deterministic systems by resetting
• Quantum unitary evolution interspersed with repeated non-unitary interactions at random times: The method of stochastic Liouville equation, and two examples of interactions in the context of a tight-binding chain
• The effect of measurements, randomly distributed in time, on quantum systems. Stochastic quantum Zeno effect
• A new route toward orthogonality

Cited by in corpus (11)

• Stochastic resetting in interacting particle systems: A review
• First detection probability in quantum resetting via random projective measurements
• Generating Entanglement by Quantum Resetting
• Instability in the quantum restart problem
• Tight-binding model subject to conditional resets at random times
• Dynamically emergent correlations in bosons via quantum resetting
• Stochastic resetting with refractory periods: pathway formulation and exact results
• 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
• Quest for optimal quantum resetting: protocols for a particle on a chain
• Optimal detection of quantum states via projective measurements