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The theoretical description of quantum dynamics in an intriguing way does not necessarily imply the underlying dynamics is indeed intriguing. Here we show how a known very interesting master equation with an always negative decay rate…

量子物理 · 物理学 2017-07-31 Nina Megier , Dariusz Chruściński , Jyrki Piilo , Walter T. Strunz

The stationary solution \rho of a quantum master equation can be represented as an ensemble of pure states in a continuous infinity of ways. An ensemble which is physically realizable through monitoring the system's environment we call an…

量子物理 · 物理学 2009-10-30 H. M. Wiseman , J. A. Vaccaro

The dynamics of open quantum systems is often solved by stochastic unravellings where the average over the state vector realizations reproduces the density matrix evolution. We focus on quantum jump descriptions based on the rate operator…

We analyse dynamical large deviations of quantum trajectories in Markovian open quantum systems in their full generality. We derive a {\em quantum level-2.5 large deviation principle} for these systems, which describes the joint…

统计力学 · 物理学 2019-04-10 Federico Carollo , Robert L. Jack , Juan P. Garrahan

The general formalism of quantum mechanics for the description of statistical experiments is briefly reviewed, introducing in particular position and momentum observables as POVM characterized by their covariance properties with respect to…

量子物理 · 物理学 2009-10-27 Bassano Vacchini

We consider an open quantum system in $M_{d}(\mathbb{C})$ governed by quasiperiodic Hamiltonian with rationally independent frequencies and under assumption of Lyapunov-Perron reducibility of associated Schroedinger equation. We construct…

数学物理 · 物理学 2022-03-01 Krzysztof Szczygielski

We study a class of quantum dynamical maps for d-level systems that interpolate between positive, Schwarz, and completely positive evolutions. Our approach is based on a geometric analysis of the parameter space, which reveals the structure…

量子物理 · 物理学 2026-04-23 Dariusz Chruściński , Farrukh Mukhamedov

The path integral approach offers not only an exact expression for the non- equilibrium dynamics of dissipative quantum systems, but is also a convenient starting point for perturbative treatments. An alternative way to explore the…

统计力学 · 物理学 2022-09-21 Joachim Ankerhold

It is shown how S-matrix theory and the concept of continuous quantum measurements can be combined to yield Markovian master equations which describe the environmental interaction non-perturbatively. The method is then applied to obtain the…

量子物理 · 物理学 2007-05-23 Klaus Hornberger

Models for open quantum systems, which play important roles in electron transport problems and quantum computing, must take into account the interaction of the quantum system with the surrounding environment. Although such models can be…

量子物理 · 物理学 2024-07-17 Ke Wang , Xiantao Li

A central feature of quantum mechanics is that a measurement is intrinsically probabilistic. As a result, continuously monitoring a quantum system will randomly perturb its natural unitary evolution. The ability to control a quantum system…

量子物理 · 物理学 2014-09-04 S. J. Weber , A. Chantasri , J. Dressel , A. N. Jordan , K. W. Murch , I. Siddiqi

Machine learning methods have proved to be useful for the recognition of patterns in statistical data. The measurement outcomes are intrinsically random in quantum physics, however, they do have a pattern when the measurements are performed…

量子物理 · 物理学 2020-04-14 I. A. Luchnikov , S. V. Vintskevich , D. A. Grigoriev , S. N. Filippov

The study of the physical properties of open quantum systems is at the heart of many present investigations which aim to describe their dynamical evolution, on theoretical ground and through physical realizations. Here we develop a…

量子物理 · 物理学 2021-11-23 Tarek Khalil , Jean Richert

We establish a direct connection of quantum Markovianity of an open quantum system to its classical counterpart by generalizing the criterion based on the information flow. Here, the flow is characterized by the time evolution of Helstrom…

量子物理 · 物理学 2015-10-28 Steffen Wißmann , Bassano Vacchini , Heinz-Peter Breuer

The quantum jump approach allows to characterize the stochastic dynamics associated to an open quantum system submitted to a continuous measurement action. In this paper we show that this formalism can consistently be extended to…

量子物理 · 物理学 2013-09-03 Adrian A. Budini

We study generic open quantum systems with Markovian dissipation, focusing on a class of stochastic Liouvillian operators of Lindblad form with independent random dissipation channels (jump operators) and a random Hamiltonian. We perform a…

统计力学 · 物理学 2019-11-07 Lucas Sá

We study the behavior of an open quantum system, with an $N$--dimensional space of states, whose density matrix evolves according to a non--unitary map defined in two steps: A unitary step, where the system evolves with an evolution…

量子物理 · 物理学 2009-11-07 Pablo Bianucci , Juan Pablo Paz , Marcos Saraceno

The evolution of a continuous time Markov process with a finite number of states is usually calculated by the Master equation - a linear differential equations with a singular generator matrix. We derive a general method for reducing the…

定量方法 · 定量生物学 2012-07-19 Daniel Soudry , Ron Meir

We investigate what a snapshot of a quantum evolution - a quantum channel reflecting open system dynamics - reveals about the underlying continuous time evolution. Remarkably, from such a snapshot, and without imposing additional…

量子物理 · 物理学 2009-11-13 M. M. Wolf , J. Eisert , T. S. Cubitt , J. I. Cirac

We find dynamical invariants for open quantum systems described by the non-Markovian quantum state diffusion (QSD) equation. In stark contrast to closed systems where the dynamical invariant can be identical to the system density operator,…

量子物理 · 物理学 2016-04-29 Da-Wei Luo , P. V. Pyshkin , Chi-Hang Lam , Ting Yu , Hai-Qing Lin , J. Q. You , Lian-Ao Wu