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Proposal of a cold-atom realization of quantum maps with Hofstadter’s butterfly spectrum

Jiao Wang and Jiangbin Gong

Phys. Rev. A 77, 031405(R) – Published 27 March 2008; Erratum Phys. Rev. A 84, 039904 (2011)

Abstract

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.

Received 4 October 2007

DOI:https://doi.org/10.1103/PhysRevA.77.031405

Erratum

Erratum: Proposal of a cold-atom realization of quantum maps with Hofstadter's butterfly spectrum [Phys. Rev. A 77, 031405(R) (2008)]

Jiao Wang and Jiangbin Gong

Phys. Rev. A 84, 039904 (2011)

Authors & Affiliations

Jiao Wang¹ and Jiangbin Gong^2,3,*

¹Temasek Laboratories and Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems (Singapore), National University of Singapore, 117542, Singapore
²Department of Physics and Centre of Computational Science and Engineering, National University of Singapore, 117542, Singapore
³NUS Graduate School for Integrative Sciences and Engineering, Singapore 117597, Republic of Singapore

^*[email protected]

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Vol. 77, Iss. 3 — March 2008

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Physical Review A

covering atomic, molecular, and optical physics and quantum science

Proposal of a cold-atom realization of quantum maps with Hofstadter’s butterfly spectrum

Jiao Wang and Jiangbin Gong

Phys. Rev. A 77, 031405(R) – Published 27 March 2008; Erratum Phys. Rev. A 84, 039904 (2011)

Abstract

Erratum

Erratum: Proposal of a cold-atom realization of quantum maps with Hofstadter's butterfly spectrum [Phys. Rev. A 77, 031405(R) (2008)]

Jiao Wang and Jiangbin Gong

Phys. Rev. A 84, 039904 (2011)

Authors & Affiliations

Article Text (Subscription Required)

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Physical Review A

covering atomic, molecular, and optical physics and quantum science

Proposal of a cold-atom realization of quantum maps with Hofstadter’s butterfly spectrum

Jiao Wang and Jiangbin Gong

Phys. Rev. A 77, 031405(R) – Published 27 March 2008; Erratum Phys. Rev. A 84, 039904 (2011)

Abstract

Erratum

Erratum: Proposal of a cold-atom realization of quantum maps with Hofstadter's butterfly spectrum [Phys. Rev. A 77, 031405(R) (2008)]

Jiao Wang and Jiangbin Gong

Phys. Rev. A 84, 039904 (2011)

Authors & Affiliations

Article Text (Subscription Required)

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