Bogoliubov transformations and exact isolated solutions for simple nonadiabatic Hamiltonians

C. Emary; R. F. Bishop

doi:10.1063/1.1490406

Bogoliubov transformations and exact isolated solutions for simple nonadiabatic 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. © 2002 American Institute of Physics.

Original language	English
Pages (from-to)	3916-3926
Number of pages	11
Journal	Journal of Mathematical Physics
Volume	43
DOIs	https://doi.org/10.1063/1.1490406
Publication status	Published - 2002

Keywords

JAYNES-CUMMINGS MODEL; 2-LEVEL SYSTEM; QUANTUM; STATE; ATOM

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AB - 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. © 2002 American Institute of Physics.

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U2 - 10.1063/1.1490406

DO - 10.1063/1.1490406

M3 - Article

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VL - 43

SP - 3916

EP - 3926

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

ER -

Bogoliubov transformations and exact isolated solutions for simple nonadiabatic Hamiltonians

Abstract

Keywords

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