Nonlinear Quantum Dynamics
Abstract
The vast majority of the literature dealing with quantum dynamics is concerned with linear evolution of the wave function or the density matrix. A complete dynamical description requires a full understanding of the evolution of measured quantum systems, necessary to explain actual experimental results. The dynamics of such systems is intrinsically nonlinear even at the level of distribution functions, both classically as well as quantum mechanically. Aside from being physically more complete, this treatment reveals the existence of dynamical regimes, such as chaos, that have no counterpart in the linear case. Here, we present a short introductory review of some of these aspects, with a few illustrative results and examples.
Cite
@article{arxiv.quant-ph/0505046,
title = {Nonlinear Quantum Dynamics},
author = {Salman Habib and Tanmoy Bhattacharya and Andrew Doherty and Benjamin Greenbaum and Asa Hopkins and Kurt Jacobs and Hideo Mabuchi and Keith Schwab and Kosuke Shizume and Daniel Steck and Bala Sundaram},
journal= {arXiv preprint arXiv:quant-ph/0505046},
year = {2015}
}
Comments
13 pages, 3 figures, invited talk at the NATO Advanced Workshop, "Nonlinear Dynamics and Fundamental Interactions," (October, 2004, Tashkent)