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Nonlinear Quantum Dynamics

Habib, Salman and Bhattacharya, Tanmoy and Doherty, Andrew and Greenbaum, Benjamin and Hopkins, Asa and Jacobs, Kurt and Mabuchi, Hideo and Schwab, Keith and Shizume, Kosuke and Steck, Daniel and Sundaram, Bala (2005) Nonlinear Quantum Dynamics. . (Submitted)

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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.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Schwab, Keith0000-0001-8216-4815
Additional Information:SH gratefully acknowledges the warm hospitality of the workshop organizers, local scientists, and students at NDFI’04, as well as the stimulating atmosphere of the meeting. This research is supported by the Department of Energy, under contract W-7405-ENG-36.
Funding AgencyGrant Number
Department of Energy (DOE)W-7405-ENG-36
Record Number:CaltechAUTHORS:20160523-093923704
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67252
Deposited By: Tony Diaz
Deposited On:23 May 2016 19:10
Last Modified:03 Oct 2019 10:04

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