Dynamics of closed quantum systems under stochastic resetting

• URL: http://arxiv.org/abs/2209.05643v1
• Date: Mon, 12 Sep 2022 22:42:29 GMT
• Title: Dynamics of closed quantum systems under stochastic resetting
• Authors: Francisco J. Sevilla and Andrea Vald\'es-Hern\'andez
• Abstract summary: We consider a closed quantum system subject to a resetting process. We analyse the behaviour of the state in the long-time regime. Special attention is paid to the two-level (qubit) system.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

Related papers

• 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. For Poissonian resets, we compute the stationary state of the process and demonstrate the existence of "resonances" in the quantum gates. 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)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Initial Correlations in Open Quantum Systems: Constructing Linear Dynamical Maps and Master Equations [62.997667081978825]
  We show that, for any predetermined initial correlations, one can introduce a linear dynamical map on the space of operators of the open system. We demonstrate that this construction leads to a linear, time-local quantum master equation with generalized Lindblad structure.
  arXiv  Detail & Related papers  (2022-10-24T13:43:04Z)
• Reconstructing Non-Markovian Open Quantum Evolution From Multi-time Measurements [0.0]
  We demonstrate a tomography algorithm based on multi-time measurements of a quantum system, which reconstructs a minimal environment coupled to the system. The reconstructed open quantum evolution model can be used to predict any future dynamics of the system when it is further assumed to be time-independent.
  arXiv  Detail & Related papers  (2022-05-13T09:11:03Z)
• On optimization of coherent and incoherent controls for two-level quantum systems [77.34726150561087]
  This article considers some control problems for closed and open two-level quantum systems. The closed system's dynamics is governed by the Schr"odinger equation with coherent control. The open system's dynamics is governed by the Gorini-Kossakowski-Sudarshan-Lindblad master equation.
  arXiv  Detail & Related papers  (2022-05-05T09:08:03Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Structure-Preserving Learning Using Gaussian Processes and Variational Integrators [62.31425348954686]
  We propose the combination of a variational integrator for the nominal dynamics of a mechanical system and learning residual dynamics with Gaussian process regression. We extend our approach to systems with known kinematic constraints and provide formal bounds on the prediction uncertainty.
  arXiv  Detail & Related papers  (2021-12-10T11:09:29Z)
• 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)
• From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
  We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation. We describe quantum decays in a 2-level system as coherent and continuous processes.
  arXiv  Detail & Related papers  (2021-07-29T18:27:38Z)
• Operational approach to metastability [0.0]
  We introduce an information-theoretic approach for considering changes in dynamics of finitely dimensional open quantum systems governed by master equations. In turn, we establish a quantitative description of the phenomenon of metastability in open quantum systems.
  arXiv  Detail & Related papers  (2021-04-11T20:25:27Z)
• Measurement-induced resetting in open quantum systems [0.0]
  We put forward a novel approach to study the evolution of an arbitrary open quantum system under a resetting process. We find a universal behavior for the mean first return time that goes beyond unitary dynamics and Markovian measurements.
  arXiv  Detail & Related papers  (2020-11-09T13:08:03Z)

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.