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We investigate the purification dynamics of a single qubit under continuous in time monitoring. By employing a collisional model framework where the system interacts sequentially with ancillary qubits, we describe the conditioned evolution…

量子物理 · 物理学 2026-05-14 Matheus M. R. Poltronieri Martins , Henrique Santos Lima

Quantum trajectories describe the stochastic evolution of an open quantum system conditioned on continuous monitoring of its output, such as by an ideal photodetector. In practice an experimenter has access to an output filtered through…

量子物理 · 物理学 2016-09-08 P. Warszawski , H. M. Wiseman

Small quantum systems can now be continuously monitored experimentally which allows for the reconstruction of quantum trajectories. A peculiar feature of these trajectories is the emergence of jumps between the eigenstates of the observable…

数学物理 · 物理学 2015-06-09 Michel Bauer , Denis Bernard , Antoine Tilloy

We study the Markovian dynamics of a collection of n quantum systems coupled to an irreversible environmental channel consisting of a stream of n entangled qubits. Within the framework of repeated quantum interactions, we derive the master…

量子物理 · 物理学 2018-12-07 Shakib Daryanoosh , Ben Q. Baragiola , Thomas Guff , Alexei Gilchrist

We construct a class of quantum stochastic models of reservoir driven many-particle systems that are the natural counterparts of certain extensively studied classical ones, which have been shown to exhibit good hydrodynamical behaviour. Our…

数学物理 · 物理学 2009-11-11 Geoffrey Sewell

When are quantum filters asymptotically independent of the initial state? We show that this is the case for absolutely continuous initial states when the quantum stochastic model satisfies an observability condition. When the initial system…

数学物理 · 物理学 2009-06-15 Ramon van Handel

We propose a protocol to simulate the evolution of a non-Markovian open quantum system by considering a collisional process with a many-body system, which plays the role of an environment. As a result of our protocol the environment spatial…

量子物理 · 物理学 2017-12-18 Eduardo Mascarenhas , Ines de Vega

The rich entanglement dynamics and transitions exhibited by monitored quantum systems typically only exist in the conditional state, making observation extremely difficult. In this work we construct a general recipe for mimicking the…

量子物理 · 物理学 2024-11-22 Yu-Xin Wang , Alireza Seif , Aashish A. Clerk

The dynamics of a wide range of technologically important quantum systems are dominated by their interaction with just a few environmental modes. Such highly structured environments give rise to long-lived bath correlations that induce…

We present a graduate course on ideal measurements, analyzed as dynamical processes of interaction between the tested system S and an apparatus A, described by quantum statistical mechanics. The apparatus A=M+B involves a macroscopic…

量子物理 · 物理学 2024-06-03 Armen E. Allahverdyan , Roger Balian , Theo M. Nieuwenhuizen

A characteristical property of a classical physical theory is that the observables are real functions taking an exact outcome on every (pure) state; in a quantum theory, at the contrary, a given observable on a given state can take several…

量子物理 · 物理学 2015-06-26 Antonio Cassa

We study the control problem of regulating the purity of a quantum harmonic oscillator in a Gaussian state via weak measurements. Specifically, we assume time-invariant Hamiltonian dynamics and that control is exerted via the back-action…

量子物理 · 物理学 2025-03-21 Ralph Sabbagh , Olga Movilla Miangolarra , Tryphon T. Georgiou

Investigations of quantum and mesoscopic thermodynamics force one to answer two fundamental questions associated with the foundations of statistical mechanics: (i) how does macroscopic irreversibility emerge from microscopic reversibility?…

量子物理 · 物理学 2019-02-20 Wei-Min Zhang

"Quantum mechanics must be regarded as open systems. On one hand, this is due to the fact that, like in classical physics, any realistic system is subjected to a coupling to an uncontrollable environment which influences it in a…

量子物理 · 物理学 2007-05-23 S. Nicolosi

A quantum master equation (QME) is derived for the many-body density matrix of an open current-carrying system weakly coupled to two metal leads. The dynamics and the steady-state properties of the system for arbitrary bias are studied…

统计力学 · 物理学 2016-08-31 Upendra Harbola , Massimiliano Esposito , Shaul Mukamel

We give an explicit stochastic Hamiltonian model of discontinuous unitary evolution for quantum spontaneous jumps like in a system of atoms in quantum optics, or in a system of quantum particles that interacts singularly with "bubbles"…

量子物理 · 物理学 2009-11-11 V. P. Belavkin , O. Melsheimer

There is a multitude of interpretations of quantum mechanics, but foundational principles are lacking. Relational quantum mechanics views the observer as a physical system, which allows for an unambiguous interpretation as all axioms are…

量子物理 · 物理学 2025-06-16 Dorian Daimer , Susanne Still

Correlations between different partitions of quantum systems play a central role in a variety of many-body quantum systems, and they have been studied exhaustively in experimental and theoretical research. Here, we investigate dynamical…

Quantum mechanics is derived from the principle that the universe contain as much variety as possible, in the sense of maximizing the distinctiveness of each subsystem. The quantum state of a microscopic system is defined to correspond to…

量子物理 · 物理学 2016-03-23 Lee Smolin

We develop dynamical programming methods for the purpose of optimal control of quantum states with convex constraints and concave cost and bequest functions of the quantum state. We consider both open loop and feedback control schemes,…

量子物理 · 物理学 2009-03-06 Viacheslav P. Belavkin , Antonio Negretti , Klaus Molmer