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Quantum resonances in the delta-kicked harmonic oscillator.

Billam, T. P. and Gardiner, S. A (2009) 'Quantum resonances in the delta-kicked harmonic oscillator.', Physical review A., 80 (2). 023414 .


Under certain conditions, the quantum delta-kicked harmonic oscillator displays quantum resonances. We consider an atom-optical realization of the delta-kicked harmonic oscillator and present a theoretical discussion of the quantum resonances that could be observed in such a system. Having outlined our model of the physical system we derive the values at which quantum resonances occur and relate these to potential experimental parameters. We discuss the observable effects of the quantum resonances using the results of numerical simulations. We develop a physical explanation for the quantum resonances based on symmetries shared between the classical phase space and the quantum-mechanical time evolution operator. We explore the evolution of coherent states in the system by reformulating the dynamics in terms of a mapping over an infinite two-dimensional set of coefficients from which we derive an analytic expression for the evolution of a coherent state at quantum resonance.

Item Type:Article
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Publisher statement:© 2009 by The American Physical Society. All rights reserved.
Date accepted:No date available
Date deposited:01 July 2010
Date of first online publication:August 2009
Date first made open access:No date available

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