SciPost Physics

SciPost Phys. 13, 079 (2022) · published 4 October 2022

• doi: 10.21468/SciPostPhys.13.4.079
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Abstract

We consider Markovian open quantum systems subject to stochastic resetting, which means that the dissipative time evolution is reset at randomly distributed times to the initial state. We show that the ensuing dynamics is non-Markovian and has the form of a generalized Lindblad equation. Interestingly, the statistics of quantum-jumps can be exactly derived. This is achieved by combining techniques from the thermodynamics of quantum-jump trajectories with the renewal structure of the resetting dynamics. We consider as an application of our analysis a driven two-level and an intermittent three-level system. Our findings show that stochastic resetting may be exploited as a tool to tailor the statistics of the quantum-jump trajectories and the dynamical phases of open quantum systems.

• Carollo et al., Universal and nonuniversal probability laws in Markovian open quantum dynamics subject to generalized reset processes
  Phys. Rev. E 109, 044129 (2024) [Crossref]
• Settimo et al., Generalized-rate-operator quantum jumps via realization-dependent transformations
  Phys. Rev. A 109, 062201 (2024) [Crossref]
• Xu et al., The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
  New J. Phys. 25, 073020 (2023) [Crossref]
• Brown et al., Unraveling metastable Markovian open quantum systems
  Phys. Rev. A 109, 022244 (2024) [Crossref]
• Yin et al., Instability in the quantum restart problem
  Phys. Rev. E 109, 064150 (2024) [Crossref]
• Liu, Semi-Markov processes in open quantum systems. II. Counting statistics with resetting
  Phys. Rev. E 108, 064101 (2023) [Crossref]
• Magoni et al., Emergent quantum correlations and collective behavior in noninteracting quantum systems subject to stochastic resetting
  Phys. Rev. A 106, 052210 (2022) [Crossref]
• Chatterjee et al., Quest for optimal quantum resetting: Protocols for a particle on a chain
  Phys. Rev. E 110, 034132 (2024) [Crossref]
• Kulkarni et al., First detection probability in quantum resetting via random projective measurements
  J. Phys. A: Math. Theor. 56, 385003 (2023) [Crossref]
• Kulkarni et al., Generating entanglement by quantum resetting
  Phys. Rev. A 108, 062210 (2023) [Crossref]
• Acharya et al., Tight-binding model subject to conditional resets at random times
  Phys. Rev. E 108, 064125 (2023) [Crossref]
• Li et al., Combatting Energy Issues for Mobile Applications
  ACM Trans. Softw. Eng. Methodol. 32, 1 (2023) [Crossref]
• Dattagupta et al., Stochastic resets in the context of a tight-binding chain driven by an oscillating field
  J. Stat. Mech. 2022, 103210 (2022) [Crossref]
• Yin et al., Restart Expedites Quantum Walk Hitting Times
  Phys. Rev. Lett. 130, 050802 (2023) [Crossref]