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The Kicked Harper Model

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The kicked Harper model is a quantum mechanical system whose dynamics reduces Harper's Hamiltonian to a two-dimensional area-preserving map. Successive iterations appear to be attracted to the neighborhood of stable "islands," showing chaotic transport.

Contributed by: Enrique Zeleny (March 2013)
Open content licensed under CC BY-NC-SA

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The kicked Harper Hamiltonian has the form

,

where and is a row of delta functions with period 1. The discrete version, giving the kicked Harper map, is

,

.

Reference

[1] R. Artuso, "Kicked Harper Model," Scholarpedia, 6(10), 2011 p. 10462. doi:10.4249/scholarpedia.10462.

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