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

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

2001-12-10

arxiv.org/abs/quant-ph/0112061v3

J. Math. Phys. 43, 3916 (2002)

Physics

Quantum Physics

LaTeX, 16 pages, 1 figure. Minor additions and journal ref

Scientific paper

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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