A Quantum Stochastic Approach to Poisson Master Equation Unravellings and Ghirardi-Rimini-Weber Theory
Issue Date
2022Keywords
GRW theorymeasurement
open quantum system
quantum stochastic calculus
stochastic collapse
unravelling
Advisor
Wehr, JanMetadata
Show full item recordPublisher
The University of Arizona.Rights
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction, presentation (such as public display or performance) of protected items is prohibited except with permission of the author.Abstract
The theory of quantum stochastic calculus is used to expand the traditional Ghirardi-Rimini-Weber theory to a fully quantum theory, where the noise can be then be interpreted as a new field interacting with quantum systems. A derivation of a stochastic unravellling of the GKSL master equation is first presented from the standpoint of a purely quantum theory, which is then specialized to the case of the GRW master equation. Reverse engineering this procedure gives rise to a new nonlinear quantum stochastic wave equation which preserves a generalized system norm and is an unravelling of the GKSL master equation. Comments on how this particular interpretation can be tested are given.Type
textElectronic Dissertation
Degree Name
Ph.D.Degree Level
doctoralDegree Program
Graduate CollegeApplied Mathematics