期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 54, 期 9, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1751-8121/abda76
关键词
kicked rotor; chaos; quantum chaos; attosecond pulse train; dynamical localization; quantum resonance
The atto-KR, which uses an attosecond pulse train as a kicking field, is a more realistic version of the kicked rotor that takes into account the real form of the kicking field in experiments. It is examined from both classical and quantum aspects, showing satisfactory results in quantum cases and proposing a new map for classical experiments with chaos. The atto-KR can be used to study the influence of quantum effects on classical chaos and diffusion.
The kicked rotor (KR) is one of the basic models in connection with chaos and quantum chaos. A possible application of an attosecond pulse train as a kicking field in the KR is theoretically examined for the first time. This version of the KR is denoted as an atto-KR. It seems to be the most realistic version of the KR because it takes into account the real form of the kicking field as it appears in the experiments. The atto-KR is investigated from the classical and the quantum aspects. In the classical case, a new map instead of the Chirikov standard map is proposed. It may be useful in appropriate experiments with the classical chaos. In the quantum case, the atto-KR gives satisfactory results. Phenomena such as dynamical localization and quantum resonances appear in the undisturbed form. It may be also used for examining the influence of the quantum effects on classical chaos and diffusion.
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