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Solvable three-state model of a driven double-well potential and coherent destruction of tunneling

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Publication details

JournalPhysical Review A
DatePublished - Jan 1998
Issue number1
Number of pages10
Pages (from-to)68-78
Original languageEnglish


A simple model for a particle in a double well is derived from discretizing its configuration space. The model contains as many free parameters as the original system and it respects all the existing symmetries. In the presence of an external periodic force both the continuous system and the discrete model are shown to possess a generalized time-reversal symmetry in addition to the known generalized parity. The impact of the driving force on the spectrum of the Floquet operator is studied. In particular, the occurrence of degenerate quasienergies causing coherent destruction of tunneling is discussed—to a large extent analytically—for arbitrary driving frequencies and barrier heights.

Bibliographical note

© 1998 The American Physical Society. Reproduced in accordance with the publisher's self-archiving policy.

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