Pure Point Spectrum for Two-Level Systems in a Strong Quasi-Periodic Field |
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Authors: | Guido Gentile |
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Institution: | 1. Dipartimento di Matematica, Università di Roma Tre, Roma, I-00146, Italy
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Abstract: | We consider two-level atoms in a strong external quasi-periodic field with Diophantine frequency vector. We show that if the field is an analytic function with zero average, then for a large set of values of its frequency vector, characterized by imposing infinitely many Diophantine conditions, the spectrum of the quasi-energy operator is pure point, as in the case of nonzero average which was already known in literature. |
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