Bogoliubov transformations and exact isolated solutions for simple non-adiabatic Hamiltonians

C. Emary; R. F. Bishop

doi:10.1063/1.1490406

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arXiv · quant-ph/0112061

Bogoliubov transformations and exact isolated solutions for simple non-adiabatic Hamiltonians

C. Emary·R. F. Bishop

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Abstract

We present a new method for finding isolated exact solutions of a class of non-adiabatic Hamiltonians of relevance to quantum optics and allied areas. Central to our approach is the use of Bogoliubov transformations of the bosonic fields in the models. We demonstrate the simplicity and efficiency of this method by applying it to the Rabi Hamiltonian.

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C. Emary, R. F. Bishop. 2002-08-06. Bogoliubov transformations and exact isolated solutions for simple non-adiabatic Hamiltonians. https://doi.org/10.1063/1.1490406

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