Deriving a kinetic uncertainty relation for piecewise deterministic processes: from classical to quantum

• URL: http://arxiv.org/abs/2107.07697v3
• Date: Mon, 8 Aug 2022 04:30:49 GMT
• Title: Deriving a kinetic uncertainty relation for piecewise deterministic processes: from classical to quantum
• Authors: Fei Liu
• Abstract summary: We investigate the derivation of a kinetic uncertainty relation (KUR) originally proposed in Markovian open quantum systems. We use a driven two-level quantum system to exemplify the quantum results.
• Score: 4.889554833050689
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: From the perspective of Markovian piecewise deterministic processes (PDPs), we investigate the derivation of a kinetic uncertainty relation (KUR), which was originally proposed in Markovian open quantum systems. First, stationary distributions of classical PDPs are explicitly constructed. Then, a tilting method is used to derive a rate functional of large deviations. Finally, based on an improved approximation scheme, we recover the KUR. These classical results are directly extended to the open quantum systems. We use a driven two-level quantum system to exemplify the quantum results.

Related papers

• Liouvillian Exceptional Points of Non-Hermitian Systems via Quantum Process Tomography [0.0]
  Hamiltonian exceptional points are spectral degeneracies of non-Hermitian Hamiltonians. quantum process tomography can be readily applied to reveal and characterize LEPs of non-Hermitian systems.
  arXiv  Detail & Related papers  (2024-01-26T16:47:26Z)
• Liouvillian exceptional points of an open driven two-level system [6.542468579115601]
  We study the applicability of the Liouvillian exceptional points (LEPs) approach to nanoscale open quantum systems. A generic model of the driven two-level system in a thermal environment is analyzed. We find that non-Markov character of evolution in open quantum systems does not allow for the introduction of the concept of exceptional points.
  arXiv  Detail & Related papers  (2024-01-08T16:42:08Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• 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)
• 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)
• Chaos in coupled Kerr-nonlinear parametric oscillators [0.0]
  We investigate complex dynamics, i.e., chaos, in two coupled nondissipative KPOs at a few-photon level. We conclude that some of them can be regarded as quantum signatures of chaos, together with energy-level spacing statistics.
  arXiv  Detail & Related papers  (2021-10-08T10:35:12Z)
• 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)
• Quantum Causal Inference in the Presence of Hidden Common Causes: an Entropic Approach [34.77250498401055]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links. This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
  arXiv  Detail & Related papers  (2021-04-24T22:45:50Z)
• Symmetry-induced fluctuation relations in open quantum systems [0.0]
  We consider Markovian non-unitary dynamics that is unraveled in terms of quantum jump trajectories. We exploit techniques from the theory of large deviations like the tilted ensemble and the Doob transform.
  arXiv  Detail & Related papers  (2021-03-11T11:54:09Z)
• Bernstein-Greene-Kruskal approach for the quantum Vlasov equation [91.3755431537592]
  The one-dimensional stationary quantum Vlasov equation is analyzed using the energy as one of the dynamical variables. In the semiclassical case where quantum tunneling effects are small, an infinite series solution is developed.
  arXiv  Detail & Related papers  (2021-02-18T20:55:04Z)
• Assessment of weak-coupling approximations on a driven two-level system under dissipation [58.720142291102135]
  We study a driven qubit through the numerically exact and non-perturbative method known as the Liouville-von equation with dissipation. We propose a metric that may be used in experiments to map the regime of validity of the Lindblad equation in predicting the steady state of the driven qubit.
  arXiv  Detail & Related papers  (2020-11-11T22:45:57Z)

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.