Relaxation and localization in interacting quantum maps View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1994-10

AUTHORS

A. Lakshminarayan, N. L. Balazs

ABSTRACT

Quantum relaxation is studied in coupled quantum baker's maps. The classical systems are exactly solvable Kolmogorov systems, for which the exponential decay to equilibrium is known. They model the fundamental processes of transport in classically chaotic phase space. The quantum systems, in the absence of global symmetry, show a marked saturation in the level of transport, as the suppression of diffusion in the quantum kicked rotor, and eigenfunction localization in the position basis. In the presence of a global symmetry we study another model that has classically an identical decay to equilibrium, but-quantally shows resonant transport, no saturation, and large fluctuations around equilibrium. We generalize the quantization to finite multibaker maps. As a byproduct we introduce some simple models of quantal tunneling between classically chaotic regions of phase space. More... »

PAGES

311-344

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02186844

DOI

http://dx.doi.org/10.1007/bf02186844

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1041154982


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