Quantum resonances in an atom-optical delta-kicked harmonic oscillator
arXiv:0809.4373 · doi:10.1103/PhysRevA.80.023414
Abstract
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.
10 pages, 6 figures. Manuscript revised and extended
References in corpus (17)
- Control of Interaction-Induced Dephasing of Bloch Oscillations
- Exploring the phase space of the quantum delta kicked accelerator
- Proposal of a Cold-atom Realization of Quantum Maps with Hofstadter's Butterfly Spectrum
- Experimental investigation of early-time diffusion in the quantum kicked rotor using a Bose-Einstein condensate
- Experimental observation of high-order quantum accelerator modes
- Observation of sub-Fourier resonances in a quantum-chaotic system
- Nonlinear atom-optical delta-kicked harmonic oscillator using a Bose-Einstein condensate
- Signatures of quantum stability in a classically chaotic system
- Quantum Accelerator Modes from the Farey Tree
- Gravity-Sensitive Quantum Dynamics in Cold Atoms
- Web-assisted tunneling in the kicked harmonic oscillator
- General Approach to the Quantum Kicked Particle in a Magnetic Field: Quantum-Antiresonance Transition
- The manifestation of quantum resonances and antiresonances in a finite temperature dilute atomic gas
- An accelerator mode based technique for studying quantum chaos
- Power-law behavior in the quantum-resonant evolution of the delta-kicked accelerator
- Quantum Accelerator Modes near Higher-Order Resonances
- Fractional resonances in the atom-optical delta-kicked accelerator
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