Superclassical non-Markovian open quantum dynamics

• URL: http://arxiv.org/abs/2411.13471v1
• Date: Wed, 20 Nov 2024 17:19:13 GMT
• Title: Superclassical non-Markovian open quantum dynamics
• Authors: Adrian A. Budini,
• Abstract summary: Superclassical non-Markovian open quantum system dynamics defined by their lack of measurement invasiveness. This diagonal non-invasiveness guarantees that joint probabilities for measurement outcomes fulfill classical Kolmogorov consistency conditions. It is shown that a subclass of depolarizing dynamics, which are based on a (time-irreversible) non-unitary system-environment coupling, satisfy the required properties.
• Score: 0.0
• License:
• Abstract: We characterize a class of superclassical non-Markovian open quantum system dynamics that are defined by their lack of measurement invasiveness when the corresponding observable commutates with the pre-measurement state. This diagonal non-invasiveness guarantees that joint probabilities for measurement outcomes fulfill classical Kolmogorov consistency conditions. These features are fulfilled regardless of the previous (measurement) system history and are valid at arbitrary later times after an arbitrary system initialization. It is shown that a subclass of depolarizing dynamics, which are based on a (time-irreversible) non-unitary system-environment coupling, satisfy the required properties. The relationship with other operational [Milz et al., Phys. Rev. X 10, 041049 (2020)] and non-operational [Banacki et al., Phys. Rev. A 107, 032202 (2023)] notions of classicality in non-Markovian open quantum systems is studied in detail and exemplified through different examples.

Related papers

• Study of quantum phase transition and entanglement in coupled top systems with standard and nonstandard symmetries under Floquet formalism [15.699822139827916]
  We study an effective time-independent Hamiltonian of a coupled kicked-top (CKT) system derived using the Van Vleck-based perturbation theory at the high-frequency driving limit under Floquet formalism. We study classical and quantum versions of this coupled top system for torsion-free and nonzero torsion cases.
  arXiv  Detail & Related papers  (2024-09-13T06:36:41Z)
• Ergodic and chaotic properties in Tavis-Cummings dimer: quantum and classical limit [0.0]
  We investigate two key aspects of quantum systems by using the Tavis-Cummings dimer system as a platform. The first aspect involves unraveling the relationship between the phenomenon of self-trapping (or lack thereof) and integrability (or quantum chaos) Secondly, we uncover the possibility of mixed behavior in this quantum system using diagnostics based on random matrix theory.
  arXiv  Detail & Related papers  (2024-04-21T13:05:29Z)
• Classical Invasive Description of Informationally-Complete Quantum Processes [0.0]
  In classical theory, the joint probability distributions of a process obey by definition the Kolmogorov consistency conditions. Here, we derive conditions that characterize uniquely classical processes that are probed by a reasonable class of invasive measurements. We then analyse under what circumstances such classical processes can simulate the statistics arising from quantum processes associated with informationally-complete measurements.
  arXiv  Detail & Related papers  (2023-12-11T17:31:32Z)
• Mixed eigenstates in the Dicke model: Statistics and power-law decay of the relative proportion in the semiclassical limit [8.437514200532176]
  We show how mixed eigenstates vary with approaching the semiclassical limit in mixed-type many-body quantum systems. Using the Husimi function, we show that the eigenstates of the Dicke model with mixed-type classical phase space can be classified into different types.
  arXiv  Detail & Related papers  (2023-09-21T02:31:21Z)
• Quantitative non-classicality of mediated interactions [0.5033155053523042]
  We show that the gain of quantum entanglement between the masses indicates non-classicality of the states of the whole tripartite system. We derive inequalities whose violation indicates non-commutativity and non-decomposability. We give applications of these techniques in two different fields: for detecting non-classicality of gravitational interaction and in bounding the Trotter error in quantum simulations.
  arXiv  Detail & Related papers  (2023-03-22T09:58:26Z)
• Violation of Diagonal Non-Invasiveness: A Hallmark of Non-Classical Memory Effects [0.0]
  An operational (measurement based) scheme that connects invasiveness and the presence of non-classical memory effects in open quantum systems is defined. Its underlying theoretical basis relies on a non-invasive measurability of (memoryless) quantum Markovian dynamics. Related conditions for violation of Leggett-Garg inequality due to quantum memory effects emerge from this perspective.
  arXiv  Detail & Related papers  (2023-01-06T13:20:42Z)
• Quantum Instability [30.674987397533997]
  We show how a time-independent, finite-dimensional quantum system can give rise to a linear instability corresponding to that in the classical system. An unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system.
  arXiv  Detail & Related papers  (2022-08-05T19:53:46Z)
• Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous [62.997667081978825]
  The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom. The dynamics of this system is determined in closed analytical form. We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
  arXiv  Detail & Related papers  (2021-11-23T20:25:57Z)
• Nonclassical correlations in decaying systems [0.0]
  Correlations of weak measurements in the noninvasive limit violate the classical bound for a universal class of systems. The phenomenon can be experimentally observed by continuous weak measurements and a large class of observables.
  arXiv  Detail & Related papers  (2021-10-21T07:28:49Z)
• Hybrid filtering for a class of nonlinear quantum systems subject to classical stochastic disturbances [11.170233682435303]
  A hybrid quantum-classical filtering problem, where a qubit system is disturbed by a classical process, is investigated. The strategy is to model the classical disturbance by using an optical cavity. Relations between classical disturbances and the cavity analog system are analyzed. A master equation for the qubit-cavity hybrid system is given, based on which estimates for the state of the cavity system and the classical signal are obtained.
  arXiv  Detail & Related papers  (2020-04-06T06:37:47Z)
• Dynamically encircling an exceptional point in a real quantum system [13.510562179346167]
  The exceptional point, known as the non-Hermitian degeneracy, has special topological structure. Here we experimentally demonstrate dynamically encircling the exceptional point with a single nitrogen-vacancy center in diamond. Our work reveals the topological structure of the exceptional point and paves the way to comprehensively explore the exotic properties of non-Hermitian Hamiltonians in the quantum regime.
  arXiv  Detail & Related papers  (2020-02-17T06:41:17Z)

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.