A simple model of quantum trajectories

By Todd A. Brun. 2001

319 citations recorded by the source corpus.

Quantum trajectory theory, developed largely in the quantum optics community to describe open quantum systems subjected to continuous monitoring, has applications in many areas of quantum physics. I present a simple model, using two-level quantum systems (q-bits), to illustrate the essential physics of quantum trajectories and how different monitoring schemes correspond to different “unravelings” of a mixed state master equation. I also comment briefly on the relationship of the theory to the consistent histories formalism and to spontaneous collapse models.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/55149476fa0b430f16ff984c4d25ccaa384630d2

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Introduction to quantum noise, measurement, and amplification (2008, background): “The relevant theoretical framework is that of quantum conditional evolution and quantum trajectories (see e.g. Brun, 2002; Jacobs and Steck, 2006), where one tracks the state of a measured quantum system in a particular run of the experiment.”
Do We Really Understand Quantum Mechanics? (2012, background): “For introductory texts on stochastic evolutions of the state vector and continuous measurements, see for instance [494, 495].”
Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems (2008, methodology): “Such interpretation allows to construct a trajectory picture of the system dynamics, where each realization of the continuous measurement leads to a given system trajectory [23, 24, 25, 76, 141].”