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Determining the Markovianity and non-Markovianity of a quantum process is a critical problem in the theory of open quantum systems, as their behaviors differ significantly in terms of complexity. It is well recognized that a quantum process…

量子物理 · 物理学 2023-10-30 Le Hu , Andrew N. Jordan

Driven quantum systems subject to non-Markovian noise are typically difficult to model even if the noise is classical. We present a systematic method based on generalized cumulant expansions for deriving a time-local master equation for…

量子物理 · 物理学 2023-04-12 Peter Groszkowski , Alireza Seif , Jens Koch , A. A. Clerk

We examine the time discretization of Lindblad master equations in infinite-dimensional Hilbert spaces. Our study is motivated by the fact that, with unbounded Lindbladian, projecting the evolution onto a finite-dimensional subspace using a…

数值分析 · 数学 2025-03-04 Rémi Robin , Pierre Rouchon , Lev-Arcady Sellem

We study the time evolution of single-particle quantum states described by a Lindblad master equation with local terms. By means of a geometric resolvent equation derived for Lindblad generators, we establish a finite-volume-type criterion…

数学物理 · 物理学 2024-02-27 Frederik Ravn Klausen , Simone Warzel

In this work, we derive a deterministic master equation to model a general, possibly non-Markovian, feedback. The master equation describes a system with a general evolution and measurement operation, with feedback being applied in terms of…

量子物理 · 物理学 2026-03-25 Guilherme de Sousa , Diogo O. Soares-Pinto

Master equations are a useful tool to describe the evolution of open quantum systems. In order to characterize the mathematical features and the physical origin of the dynamics, it is often useful to consider different kinds of master…

量子物理 · 物理学 2020-08-24 Nina Megier , Andrea Smirne , Bassano Vacchini

The conditions under which quantum-classical Liouville dynamics may be reduced to a master equation are investigated. Systems that can be partitioned into a quantum-classical subsystem interacting with a classical bath are considered.…

统计力学 · 物理学 2015-06-25 Robbie Grunwald , Raymond Kapral

Convolutionless and convolution master equations are the two mostly used physical descriptions of open quantum systems dynamics. We subject these equations to time deformations: local dilations and contractions of time scale. We prove that…

量子物理 · 物理学 2019-03-22 Sergey N. Filippov , Dariusz Chruściński

We analyze the appearance of non-Markovian effects in the dynamics of a bipartite system coupled to a reservoir, which can be described within a class of non-Markovian equations given by a generalized Lindblad structure. A novel master…

量子物理 · 物理学 2008-09-01 Bassano Vacchini

Quantum master equations are commonly used to model the dynamics of open quantum systems, but their accuracy is rarely compared with the analytical solution of exactly solvable models. In this work, we perform such a comparison for the…

量子物理 · 物理学 2025-07-04 Zihan Xia , Juan Garcia-Nila , Daniel Lidar

Open-system dynamics play a key role in the experimental and theoretical study of cavity optomechanical systems. In many cases, the quantum Langevin equations have enabled excellent models for optical decoherence, yet a master-equation…

量子物理 · 物理学 2021-07-07 Sofia Qvarfort , Michael R. Vanner , P. F. Barker , David Edward Bruschi

A central problem in the theory of the dynamics of open quantum systems is the derivation of a rigorous and computationally tractable master equation for the reduced system density matrix. Most generally, the evolution of an open quantum…

凝聚态物理 · 物理学 2016-08-31 Daniel A. Lidar , Zsolt Bihary , K. Birgitta Whaley

In this paper, we propose a fractional time extension of the Quan tum Master Equation. We introduce a Caputo-type fractional derivative in time as an extension of the exponential decay of the Lindblad framework through the incorporation of…

量子物理 · 物理学 2025-12-22 Taylan Demir

In this paper we derive an extra class of non-Markovian master equations where the system state is written as a sum of auxiliary matrixes whose evolution involve Lindblad contributions with local coupling between all of them, resembling the…

量子物理 · 物理学 2007-05-23 Adrian A. Budini

Quantum open systems are described in the Markovian limit by master equations in Lindblad form. I argue that common ``quantum trajectory'' techniques corresponding to continuous measurement schemes, which solve the master equation by…

量子物理 · 物理学 2009-10-30 Todd A. Brun

The theory of open quantum systems served as a tool to prepare entanglement at the beginning stage of quantum technology and more recently provides an important tool for state preparation. Dynamics given by time dependent Lindbladians are…

量子物理 · 物理学 2026-02-20 Jihong Cai , Advith Govindarajan , Marius Junge

Non-Markovian quantum evolution of the electronic subsystem in a laser-driven molecule is characterized through the appearance of negative decoherence rates in the canonical form of the electronic master equation. For a driven molecular…

量子物理 · 物理学 2018-11-22 Mihaela Vatasescu

A dynamical symmetry is employed to determine the structure of the quantum non-Markovian time-local master equation. Such a structure is composed from two components: scalar kinetic coefficients and the standard quantum Markovian operator…

量子物理 · 物理学 2022-12-19 Roie Dann , Nina Megier , Ronnie Kosloff

The emergence of classical behaviour in quantum theory is often ascribed to the interaction of a quantum system with its environment, which can be interpreted as environmental monitoring of the system. As a result, off-diagonal elements of…

量子物理 · 物理学 2025-04-24 Dorje C. Brody , Eva-Maria Graefe , Rishindra Melanathuru

We introduce Lindblad-like quantum tomography (L$\ell$QT) as a quantum characterization technique of time-correlated noise in quantum information processors. This approach enables the estimation of time-local master equations, including…

量子物理 · 物理学 2025-06-17 Santiago Varona , Markus Müller , Alejandro Bermudez
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