Carleton Author

Pattanayak, Arjendu K.; Brooks, Daniel W.C.; de la Fuente, Anton; Uricchio, Lawrence; Krawisz , Daniel; Silva, Jorge I.

Department

Physics and Astronomy

Journal Title

Physical Review A

Publication Date

2005

Volume No.

72

Issue No.

013406

First Page

1

Last Page

18

Publisher

American Physical Society

File Name

016_Pattanayak-Arjendu_CoarseGrainedEntropyDecreaseAndPhaseSpaceFocusing.pdf

Abstract

We analyze the behavior of the coarse-grained entropy for classical probabilities in nonlinear Hamiltonians. We focus on the result that if the trajectory dynamics are integrable, the probability ensemble shows transient increases in the coherence, corresponding to an increase in localization of the ensemble and hence the phasespace density of the ensemble. We discuss the connection of these dynamics to the problem of cooling in atomic ensembles. We show how these dynamics can be understood in terms of the behavior of individual trajectories, allowing us to manipulate ensembles to create “cold” dense final ensembles. We illustrate these results with an analysis of the behavior of particular nonlinear integrable systems, including discussions of the spin-echo effect and the seeming violation of Liouville’s theorem

Rights Management

Carleton College does not own the copyright to this work and the work is available through the Carleton College Library following the original publisher's policies regarding self-archiving. For more information on the copyright status of this work, refer to the current copyright holder.

RoMEO Color

Green

Preprint Archiving

Yes

Postprint Archiving

Yes

Publisher PDF Archiving

Yes

Contributing Organization

Carleton College

Type

Article

Format

application/pdf

Language

English

DOI

10.1103/PhysRevA.72.013406

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