We investigate the long-time limit of quantum localization of the kicked Rydberg atom. The kicked Rydberg atom is shown to possess in addition to the quantum localization time ${\ensuremath{\tau}}_{L}$ a second crossover time ${t}_{D}$ where quantum dynamics diverges from classical dynamics towards increased instability. The quantum localization is shown to vanish as either the strength of the kicks at fixed principal quantum number or the quantum number at fixed kick strength increases. The survival probability as a function of frequency in the transient localization regime ${\ensuremath{\tau}}_{L}<t<{t}_{D}$ is characterized by highly irregular, fractal-like fluctuations.We investigate the long-time limit of quantum localization of the kicked Rydberg atom. The kicked Rydberg atom is shown to possess in addition to the quantum localization time ${\ensuremath{\tau}}_{L}$ a second crossover time ${t}_{D}$ where quantum dynamics diverges from classical dynamics towards increased instability. The quantum localization is shown to vanish as either the strength of the kicks at fixed principal quantum number or the quantum number at fixed kick strength increases. The survival probability as a function of frequency in the transient localization regime ${\ensuremath{\tau}}_{L}<t<{t}_{D}$ is characterized by highly irregular, fractal-like fluctuations.

arXiv:quant-ph/0609031Physical Review ANov 22, 20065 citations

Dynamical Stabilization of the Periodically Kicked Rydberg Atom

Carlos O Reinhold, Joachim Burgdörfer, M. T. Frey +1 more

Measurements in which $K(\mathrm{np})$ Rydberg atoms with $n\ensuremath{\sim}388$ are subject to a train of up to 50 half-cycle pulses are reported and reveal a peak in the atomic survival probability for pulse repetition frequencies near the classical orbital frequency. Classical calculations show that this behavior is associated with dynamical stabilization and the periodic orbits in phase space around which stable islands form are identified. This work provides the first direct evidence for dynamical stabilization of a periodically kicked Rydberg atom.Measurements in which $K(\mathrm{np})$ Rydberg atoms with $n\ensuremath{\sim}388$ are subject to a train of up to 50 half-cycle pulses are reported and reveal a peak in the atomic survival probability for pulse repetition frequencies near the classical orbital frequency. Classical calculations show that this behavior is associated with dynamical stabilization and the periodic orbits in phase space around which stable islands form are identified. This work provides the first direct evidence for dynamical stabilization of a periodically kicked Rydberg atom.

Physical Review LettersDec 29, 199749 citations

{t}_{D}

where quantum dynamics diverges from classical dynamics towards increased instability. The quantum localization is shown to vanish as either the strength of the kicks at fixed principal quantum number or the quantum number at fixed kick strength increases. The survival probability as a function of frequency in the transient localization regime ${\ensuremath{\tau}}_{L}<t<{t}_{D}$ is characterized by highly irregular, fractal-like fluctuations.

Measurements in which

K(\mathrm{np})

Rydberg atoms with $n\ensuremath{\sim}388$ are subject to a train of up to 50 half-cycle pulses are reported and reveal a peak in the atomic survival probability for pulse repetition frequencies near the classical orbital frequency. Classical calculations show that this behavior is associated with dynamical stabilization and the periodic orbits in phase space around which stable islands form are identified. This work provides the first direct evidence for dynamical stabilization of a periodically kicked Rydberg atom.