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相关论文: The interpretation of non-Markovian stochastic Sch…

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Starting from a generalization of the quantum trajectory theory (based on the stochastic Schr\"odinger equation - SSE), non-Markovian models of quantum dynamics are derived. In order to describe non-Markovian effects, the approach used in…

量子物理 · 物理学 2012-12-27 A. Barchielli , C. Pellegrini , F. Petruccione

Do stochastic Schr\"odinger equations, also known as unravelings, have a physical interpretation? In the Markovian limit, where the system {\em on average} obeys a master equation, the answer is yes. Markovian stochastic Schr\"odinger…

量子物理 · 物理学 2009-11-07 Jay Gambetta , H. M. Wiseman

An important and well established area of quantum optics is the theory of Markovian stochastic Schr\"odinger equations (or by another name quantum trajectory theory). Recently stochastic Schr\"odinger equations have been developed for…

量子物理 · 物理学 2009-11-10 Jay Gambetta , H. M. Wiseman

Non-Markovian stochastic Schr\"odinger equations (NMSSE) are important tools in quantum mechanics, from the theory of open systems to foundations. Yet, in general, they are but formal objects: their solution can be computed numerically only…

量子物理 · 物理学 2017-09-20 Antoine Tilloy

Principles of monitoring non-Markovian open quantum systems are analyzed. We use the field representation of the environment (Gardiner and Collet, 1985) for the separation of its memory and detector part, respectively. We claim the…

量子物理 · 物理学 2013-05-30 Lajos Diósi

A non-Markovian stochastic Schroedinger equation for a quantum system coupled to an environment of harmonic oscillators is presented. Its solutions, when averaged over the noise, reproduce the standard reduced density operator without any…

量子物理 · 物理学 2009-10-31 Walter T Strunz , Lajos Diosi , Nicolas Gisin

We present a nonlinear stochastic Schroedinger equation for pure states describing non-Markovian diffusion of quantum trajectories. It provides an unravelling of the evolution of a quantum system coupled to a finite or infinite number of…

量子物理 · 物理学 2009-10-31 L. Diosi , N. Gisin , W. T. Strunz

A diffusive stochastic Schr\"odinger equation (SSE) is shown for the first time, such that contributes to a non-completely positive dynamics. This contradicts to a recent Letter [arXiv:1303.4284] claiming that SSEs, under most general…

量子物理 · 物理学 2014-11-19 Lajos Diósi

We derive a family of Gaussian non-Markovian stochastic Schr\"odinger equations for the dynamics of open quantum systems. The different unravelings correspond to different choices of squeezed coherent states, reflecting different…

量子物理 · 物理学 2018-04-18 Nina Megier , Walter T. Strunz , Carlos Viviescas , Kimmo Luoma

We introduce an extended formulation of the non-Markovian stochastic Schr\"odinger equation with complex frequency modes (extended cNMSSE), designed for simulating open quantum system dynamics under arbitrary spectral densities. This…

量子物理 · 物理学 2025-09-10 Yukai Guo , Zeyu Huang , Xing Gao

Stochastic evolution underpins several approaches to the dynamics of open quantum systems, such as random modulation of Hamiltonian parameters, the stochastic Schrodinger equation (SSE), and the stochastic Liouville equation (SLE). These…

量子物理 · 物理学 2026-01-22 Pietro De Checchi , Federico Gallina , Barbara Fresch , Giulio G. Giusteri

We present the non-Markovian generalization of the widely used stochastic Schrodinger equation. Our result allows to describe open quantum systems in terms of stochastic state vectors rather than density operators, without approximation.…

量子物理 · 物理学 2009-10-30 Lajos Diosi , Walter T. Strunz

A prominent tool to study the dynamics of open quantum systems is the reduced density matrix. Yet, approaching open quantum systems by means of state vectors has well known computational advantages. In this respect, the physical meaning of…

介观与纳米尺度物理 · 物理学 2020-01-08 Devashish Pandey , Enrique Colomés , Guillermo Albareda , Xavier Oriols

The stochastic Schr\"odinger equation (SSE) provides a trajectory-level route to simulate the dynamics of open quantum systems with applications ranging from molecular processes to quantum technologies. We study a colored-noise extension of…

量子物理 · 物理学 2026-01-22 Pietro De Checchi , Federico Gallina , Barbara Fresch , Giulio G. Giusteri

By using a condition of average trace preservation we derive a general class of non-Markovian Gaussian diffusive unravelings [L. Diosi and L. Ferialdi, Phys. Rev. Lett. \textbf{113}, 200403 (2014)], here valid for arbitrary non-Hermitian…

量子物理 · 物理学 2015-11-10 Adrian A. Budini

We derive a formalism of stochastic master equations (SME) which describes the decoherence dynamics of a system in spin environments conditioned on the measurement record. Markovian and non-Markovian nature of environment can be revealed by…

量子物理 · 物理学 2014-09-02 Dong Xie , An Min Wang

We present a method, based on the Keldysh formalism, for deriving stochastic master equations that describe the non-Markovian dynamics of a quantum system coupled to a Gaussian environment. This approach yields a compact expression for the…

量子物理 · 物理学 2026-01-21 Vasco Cavina , Antonio D'Abbruzzo , Vittorio Giovannetti

We provide the exact analytic solution of the stochastic Schr\"odinger equation describing an harmonic oscillator interacting with a non-Markovian and dissipative environment. This result represents an arrival point in the study of…

量子物理 · 物理学 2015-06-04 Luca Ferialdi , Angelo Bassi

An effective approach to modeling non-Markovian quantum systems is to embed a principal (quantum) system of interest into a larger quantum system. A widely employed embedding is one that uses another quantum system, referred to as the…

量子物理 · 物理学 2025-07-08 Hendra I. Nurdin

Memory or time-non-local effects in open quantum dynamics pose theoretical as well as practical challenges in the understanding and control of noisy quantum systems. While there has been a comprehensive and concerted effort towards…

量子物理 · 物理学 2025-09-25 A. Keefe , N. Agarwal , A. Kamal
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