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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Gentile, G. Pure Point Spectrum for Two-Level Systems in a Strong Quasi-Periodic Field. Journal of Statistical Physics 115, 1605–1620 (2004). https://doi.org/10.1023/B:JOSS.0000028070.11031.0c
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DOI: https://doi.org/10.1023/B:JOSS.0000028070.11031.0c