Stochastic resetting induces quantum non-Markovianity

• URL: http://arxiv.org/abs/2601.13367v1
• Date: Mon, 19 Jan 2026 20:02:58 GMT
• Title: Stochastic resetting induces quantum non-Markovianity
• Authors: Federico Carollo, Sascha Wald,
• Abstract summary: Resetting describes dynamics which are reequilibriumd to a reference state at random times.<n>Discrete-time reset processes are of particular interest as they can be implemented on existing gate-operated quantum devices.<n>Our results reveal non-Markovian effects in quantum resetting and show that a time-dependent reset may be exploited to engineer enhanced stationary quantum correlations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Stochastic resetting describes dynamics which are reinitialized to a reference state at random times. These protocols are attracting significant interest: they can stabilize nonequilibrium stationary states, generate correlations in noninteracting systems, and enable optimal search strategies. While a constant reset probability results in a Markovian dynamics, much less is known about non-Markovian effects in quantum stochastic resetting. Here, we analyze memory effects in these processes -- examining the evolution of quantum states and of observables -- through witnesses of non-Markovianity for open quantum systems. We focus on discrete-time reset processes, which are of particular interest as they can be implemented on existing gate-operated quantum devices. We show that these processes are generically described by non-divisible maps and, in non-classical scenarios where the effective reset probability can become negative, can feature revivals in the state distinguishability. Our results reveal non-Markovian effects in quantum stochastic resetting and show that a time-dependent reset may be exploited to engineer enhanced stationary quantum correlations.

Related papers

• Realization of Trapped Ion Dynamics in the Strong-Field Regime and Non-Markovianity [33.781064984238775]
  We experimentally investigate the dynamics of a trapped ion where the Rabi frequency (Omega) approaches the vibrational mode frequency (nu)<n>Using quantum state tomography, we reconstruct the density matrix and track its evolution to assess non-Markovianity.<n>Our findings establish a pathway for using trapped-ion platforms to investigate non-Markovianity, coherent control, and the fundamental behavior of open quantum systems in extreme regimes.
  arXiv  Detail & Related papers  (2025-10-23T11:25:09Z)
• Generalised fractional Rabi problem [35.18016233072556]
  Fractional quantum dynamics provides a natural framework to capture nonlocal temporal behavior and memory effects in quantum systems.<n>In this work, we analyze the physical consequences of fractional-order quantum evolution using a Green's function formulation based on the Caputo fractional derivative.<n>We find that even in the absence of external driving, the static Hamiltonian term induces non-trivial spin dynamics with damping features directly linked to the fractional temporal nonlocality.
  arXiv  Detail & Related papers  (2025-10-09T12:51:57Z)
• On the emergence of quantum memory in non-Markovian dynamics [41.94295877935867]
  Non-Markovian dynamics (with memory) is typical in practice, with memory effects being harnessed as a resource for many tasks like quantum error correction and information processing.<n>Yet, the type of memory, classical or quantum, necessary to realize the dynamics of many collision models is not known.<n>In this work, we extend the quantum homogenizer to the non-Markovian regime by introducing intra-ancilla interactions mediated by Fredkin gates, and study the nature of its memory.
  arXiv  Detail & Related papers  (2025-07-29T15:19:26Z)
• Non-perturbative switching rates in bistable open quantum systems: from driven Kerr oscillators to dissipative cat qubits [72.41778531863143]
  We use path integral techniques to predict the switching rate in a single-mode bistable open quantum system.<n>Our results open new avenues for exploring switching phenomena in multistable single- and many-body open quantum systems.
  arXiv  Detail & Related papers  (2025-07-24T18:01:36Z)
• Two-point measurement correlations beyond the quantum regression theorem [0.0]
  We show how the breakdown of the regression hypothesis can uncover fundamental quantum features of non-Markovian open systems.<n>These features include entanglement, coherence, and quantum memory.<n>We also demonstrate how these quantum features are linked to microscopic properties such as the bath spectral density and heat flow.
  arXiv  Detail & Related papers  (2025-07-08T15:28:58Z)
• Stochastic resetting in discrete-time quantum dynamics: steady states and correlations in few-qubit systems [0.0]
  We investigate the steady-state properties of discrete-time reset dynamics on quantum computers.<n>For Poissonian resets, we compute the stationary state of the process and demonstrate the existence of "resonances" in the quantum gates.<n>We show that, when the reset probability vanishes sufficiently rapidly with time, the system does not approach a steady state.
  arXiv  Detail & Related papers  (2024-10-15T11:07:25Z)
• Hysteresis and Self-Oscillations in an Artificial Memristive Quantum Neuron [79.16635054977068]
  We study an artificial neuron circuit containing a quantum memristor in the presence of relaxation and dephasing. We demonstrate that this physical principle enables hysteretic behavior of the current-voltage characteristics of the quantum device.
  arXiv  Detail & Related papers  (2024-05-01T16:47:23Z)
• Universal and nonuniversal probability laws in Markovian open quantum dynamics subject to generalized reset processes [0.0]
  We consider quantum jump trajectories of Markovian open quantum systems subject to in time resets of their state to an initial configuration. For observables related to functions of the quantum state, we show that the probability of certain orderings in the sequences obeys a universal law.
  arXiv  Detail & Related papers  (2023-10-10T20:04:21Z)
• Emergent quantum correlations and collective behavior in non-interacting quantum systems subject to stochastic resetting [0.0]
  We investigate the dynamics of a non-interacting spin system undergoing coherent oscillations in the presence of Rabi resetting. We show that resetting generally induces long-range quantum and classical correlations. In the thermodynamic limit, the spin system can feature collective behavior.
  arXiv  Detail & Related papers  (2022-02-25T12:22:19Z)
• Thermodynamics of quantum-jump trajectories of open quantum systems subject to stochastic resetting [0.0]
  We consider Markovian open quantum systems subject to resetting. We show that the dynamics is non-Markovian and has the form of a generalized Lindblad equation.
  arXiv  Detail & Related papers  (2021-12-09T18:11:02Z)
• Preserving quantum correlations and coherence with non-Markovianity [50.591267188664666]
  We demonstrate the usefulness of non-Markovianity for preserving correlations and coherence in quantum systems. For covariant qubit evolutions, we show that non-Markovianity can be used to preserve quantum coherence at all times.
  arXiv  Detail & Related papers  (2021-06-25T11:52:51Z)
• Quantum Zeno effect appears in stages [64.41511459132334]
  In the quantum Zeno effect, quantum measurements can block the coherent oscillation of a two level system by freezing its state to one of the measurement eigenstates. We show that the onset of the Zeno regime is marked by a $textitcascade of transitions$ in the system dynamics as the measurement strength is increased.
  arXiv  Detail & Related papers  (2020-03-23T18:17:36Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.