Non-Markovian quantum trajectories, instruments and time-continuous measurements

The linear and nonlinear non-Markovian quantum state diffusion (NMQSD) equations are well-known tools for the description of certain non-Markovian open quantum systems. In this work, we systematically investigate whether the normalized linear NMQSD or the nonlinear NMQSD solutions can be generated b...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2012-02, Vol.45 (5), p.055305-18
Main Authors: Krönke, S, Strunz, W T
Format: Article
Language:English
Subjects:
Criteria
Diffusion
Exact sciences and technology
Markov processes
Mathematical analysis
measurement interpretation
non-Markovian open quantum systems
non-Markovian quantum state diffusion
Nonlinearity
Physics
Quantum theory
quantum trajectories
Schroedinger equation
Stochasticity
time-continuous measurement
Trajectories
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The linear and nonlinear non-Markovian quantum state diffusion (NMQSD) equations are well-known tools for the description of certain non-Markovian open quantum systems. In this work, we systematically investigate whether the normalized linear NMQSD or the nonlinear NMQSD solutions can be generated by means of a time-continuous measurement. By considering any conceivable measurement scheme, we derive a necessary criterion for the measurement interpretation of both equations. Concrete examples show that the normalized linear NMQSD solutions are realizable only in the Markovian limit in general. The application of the presented criterion to the nonlinear NMQSD remains an open issue. Furthermore, this criterion is a necessary one not only in the context of the NMQSDs but also for a much broader class of stochastic Schrödinger equations.
ISSN:1751-8113
1751-8121
1751-8121
DOI:10.1088/1751-8113/45/5/055305