Orthogonal jumps of wavefunction in white-noise potentials
Quantum Physics
2015-01-05 v1
Abstract
We investigate the evolution of the quantum state for a free particle placed into a random external potential of white-noise type. The master equation for the density matrix is derived by means of path integral method. We propose an equivalent stochastic process where the wavefunction satisfies a nonlinear Schr\"odinger equation except for random moments at which it shows orthogonal jumps. The relation of our work to the usual theory of quantum noise and damping is briefly discussed.
Cite
@article{arxiv.1501.00274,
title = {Orthogonal jumps of wavefunction in white-noise potentials},
author = {Lajos Diósi},
journal= {arXiv preprint arXiv:1501.00274},
year = {2015}
}
Comments
7pp, Modern title would be: Quantum trajectories of stochastic unravelling the master equation structure -[x,[x,rho]]