Experimental verification of a one-parameter scaling law for the quantum and "classical" resonances of the atom-optics kicked rotor

Abstract

We present experimental measurements of the mean energy in the vicinity of the first and second quantum resonances of the atom optics kicked rotor for a number of different experimental parameters. Our data is rescaled and compared with the one parameter epsilon--classical scaling function developed to describe the quantum resonance peaks. Additionally, experimental data is presented for the ``classical'' resonance which occurs in the limit as the kicking period goes to zero. This resonance is found to be analogous to the quantum resonances, and a similar one-parameter classical scaling function is derived, and found to match our experimental results. The width of the quantum and classical resonance peaks is compared, and their Sub-Fourier nature examined.

8 pages; 8 figures

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Cited by in corpus (17)

• Sub-Fourier characteristics of a $\delta$-kicked rotor resonance
• Dynamics of the mean-field interacting quantum kicked rotor
• Hamiltonian ratchets with ultra-cold atoms
• Saturation of fidelity in the atom-optics kicked rotor
• Controlling the Momentum Current of an Off-resonant Ratchet
• Steering random walks with kicked ultracold atoms
• Demonstration of perfect coherence preservation for matter-waves perturbed by a delta-kicked rotor
• The role of quasi-momentum in the resonant dynamics of the atom-optics kicked rotor
• Experimental realization of an ideal Floquet disordered system
• Pseudo-classical theory for fidelity of nearly resonant quantum rotors
• Scaling law and stability for a noisy quantum system
• Fidelity for kicked atoms with gravity near a quantum resonance
• Applications of fidelity measures to complex quantum systems
• Can quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment?
• Fidelity of the near resonant quantum kicked rotor
• Kicked-rotor quantum resonances in position space: Application to situations of experimental interest
• Engineering transport by concatenated maps