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Models of Two-Level Atoms in Quasiperiodic External Fields

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Abstract

We prove that the spectrum of the generalized quasienergy operator of a plane-polarized two-level atom in a strong external quasiperiodic electromagnetic field with nonzero constant Fourier component is pure point, under Diophantine conditions on the frequency ratio, and excluding a small subset of resonant values. The widespread belief that there may be only pure point spectrum in such models is briefly discussed in Section 2 and the circularly polarized case—a well-known soluble model—is revisited from the point of view of the quasienergy operator..

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Authors and Affiliations

  1. Instituto de Física, Universidade de São Paulo, C.P. 66318, 05315-970, São Paulo, SP, Brazil

    Walter F. Wreszinski & S. Casmeridis

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  1. Walter F. Wreszinski
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  2. S. Casmeridis
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Wreszinski, W.F., Casmeridis, S. Models of Two-Level Atoms in Quasiperiodic External Fields. Journal of Statistical Physics 90, 1061–1068 (1998). https://doi.org/10.1023/A:1023257810774

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  • DOI: https://doi.org/10.1023/A:1023257810774

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