Nonlinear Quantum Dynamics
Salman Habib, Tanmoy Bhattacharya, Andrew Doherty, Benjamin Greenbaum, Asa Hopkins, Kurt Jacobs, Hideo Mabuchi, Keith Schwab, Kosuke Shizume, Daniel Steck, Bala Sundaram
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.
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