Continuous stochastic Schrodinger equations and localization
Abstract
The set of continuous norm-preserving stochastic Schrodinger equations associated with the Lindblad master equation is introduced. This set is used to describe the localization properties of the state vector toward eigenstates of the environment operator. Particular focus is placed on determining the stochastic equation which exhibits the highest rate of localization for wide open systems. An equation having such a property is proposed in the case of a single non-hermitian environment operator. This result is relevant to numerical simulations of quantum trajectories where localization properties are used to reduce the number of basis states needed to represent the system state, and thereby increase the speed of calculation.
Cite
@article{arxiv.quant-ph/9708011,
title = {Continuous stochastic Schrodinger equations and localization},
author = {M. Rigo and F. Mota-Furtado and P. F. O'Mahony},
journal= {arXiv preprint arXiv:quant-ph/9708011},
year = {2008}
}
Comments
18 pages in LaTeX + 6 figures (postscript), uses ioplppt.sty. To appear in J. Phys. A