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We employ the theoretical framework of positive operator valued measures, to study Markovian open quantum systems. In particular, we discuss how a quantum system influences its environment. Using the theory of indirect measurements, we then…

量子物理 · 物理学 2010-09-23 Ingo Kamleitner

The exact statistics of an arbitrary quantum observable is analytically obtained. Due to the probabilistic nature of a sequence of intermediate measurements and stochastic fluctuations induced by the interaction with the environment, the…

统计力学 · 物理学 2019-06-19 Stefano Gherardini

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 study the conditions under which a subsystem code is correctable in the presence of noise that results from continuous dynamics. We consider the case of Markovian dynamics as well as the general case of Hamiltonian dynamics of the system…

量子物理 · 物理学 2008-08-24 Ognyan Oreshkov , Daniel A. Lidar , Todd A. Brun

We consider the dynamics of continuously measured many-body chaotic quantum systems. Focusing on the observable of state purification, we analytically describe the limits of strong and weak measurement rate, where in the latter case…

无序系统与神经网络 · 物理学 2022-07-15 A. Altland , M. Buchhold , S. Diehl , T. Micklitz

A system under constant observation is practically freezed to the measurement subspace. If the system driving is a random classical field, the survival probability of the system in the subspace becomes a random variable described by the…

量子物理 · 物理学 2018-03-30 Matthias M. Müller , Stefano Gherardini , Filippo Caruso

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

Significant achievements in the reduction of classical-noise floor will allow macroscopic systems to prepare nearly Heisenberg-Limited quantum states through a continuous measurement, i.e. conditioning. In order to probe the conditional…

We obtain the finite-temperature unconditional master equation of the density matrix for two coupled quantum dots (CQD) when one dot is subjected to a measurement of its electron occupation number using a point contact (PC). To determine…

介观与纳米尺度物理 · 物理学 2009-10-31 Hsi-Sheng Goan , G. J. Milburn , H. M. Wiseman , He Bi Sun

Finding optimal and noise robust probe states is a key problem in quantum metrology. In this paper we propose Markov dynamics as a possible mechanism for generating such states, and show how the Heisenberg scaling emerges for systems with…

量子物理 · 物理学 2015-06-18 Catalin Catana , Madalin Guta

Tracking the dynamics of a quantum system is conventionally achieved by monitoring the system continuously in time and filtering the information contained in measurement records via the causal quantum trajectory approach. However, in…

Quantum trajectories of a Markovian open quantum system arise from the back-action of measurements performed in the environment with which the system interacts. In this work, we consider counting measurements of quantum jumps, corresponding…

量子物理 · 物理学 2025-07-23 Calum A. Brown , Katarzyna Macieszczak , Robert L. Jack

For the purpose of understanding the quantum behavior such as quantum decoherence, fluctuations, dissipation, entanglement and teleportation of a mesoscopic or macroscopic object interacting with a general environment, we derive here a set…

量子物理 · 物理学 2007-12-09 Chung-Hsien Chou , B. L. Hu , Ting Yu

We consider quantum state tomography with measurement procedures of the following type: First, we subject the quantum state we aim to identify to a know time evolution for a desired period of time. Afterwards we perform a measurement with a…

量子物理 · 物理学 2017-01-24 Michael Kech

We consider a quantum particle on a one dimensional lattice subject to weak local measurements and study its stochastic dynamics conditioned on the measurement outcomes. Depending on the measurement strength our analysis of the quantum…

量子物理 · 物理学 2016-06-22 Ralf Blattmann , Klaus Mølmer

We consider two two-level atoms fixed at different positions, driven by a monochromatic laser field, and interacting collectively with the vacuum electromagnetic field. A Born-Markov-secular master equation is used to describe the dynamics…

量子物理 · 物理学 2011-04-19 L. O. Castaños

Projective measurements of collective observables can be employed to herald the preparation of entangled states of quantum systems, and the resulting conditional dynamics is usually handled by stochastic master equation (SME) for small…

量子物理 · 物理学 2026-02-13 ZhiQing Zhang , HaiZhong Guo , Lingrui Wang , Gang Chen , Chongxin Shan , Klaus Mølmer , Yuan Zhang

We consider a physical system in which the description of states and measurements follow the usual quantum mechanical rules. We also assume that the dynamics is linear, but may not be fully quantum (i.e unitary). We show that in such a…

量子物理 · 物理学 2009-10-31 Aditi Sen De , Ujjwal Sen

In this work a generic model of \emph{multi-photon optics} is studied. It is considered $m$ pump and $n$ subharmonic fields. It shows how the multi-photon system, with direct and homodyne detection, can be obtained rigorously in the context…

概率论 · 数学 2014-04-08 Ricardo Castro Santis

As experiments continue to push the quantum-classical boundary using increasingly complex dynamical systems, the interpretation of experimental data becomes more and more challenging: when the observations are noisy, indirect, and limited,…

量子物理 · 物理学 2014-01-28 Mankei Tsang