Physics – Quantum Physics
Scientific paper
2007-11-26
Phys. Rev. A 77, 031405 (Rapid Communication), 2008
Physics
Quantum Physics
5 pages, 4 figures, minor changes, to appear in Phys. Rev. A (Rapid Communication)
Scientific paper
10.1103/PhysRevA.77.031405
Quantum systems with Hofstadter's butterfly spectrum are of fundamental interest to many research areas. Based upon slight modifications of existing cold-atom experiments, a cold-atom realization of quantum maps with Hofstadter's butterfly spectrum is proposed. Connections and differences between our realization and the kicked Harper model are identified. This work also exposes, for the first time, a simple connection between the kicked Harper model and the kicked rotor model, the two paradigms of classical and quantum chaos.
Gong Jiangbin
Wang Jeffrey
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