dorsal/arxiv
View SchemaBogoliubov transformations and exact isolated solutions for simple non-adiabatic Hamiltonians
| Authors | C. Emary, R. F. Bishop |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112061 |
| URL | https://arxiv.org/abs/quant-ph/0112061 |
| DOI | 10.1063/1.1490406 |
| Journal | J. Math. Phys. 43, 3916 (2002) |
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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"abstract": "We present a new method for finding isolated exact solutions of a class of\nnon-adiabatic Hamiltonians of relevance to quantum optics and allied areas.\nCentral to our approach is the use of Bogoliubov transformations of the bosonic\nfields in the models. We demonstrate the simplicity and efficiency of this\nmethod by applying it to the Rabi Hamiltonian.",
"arxiv_id": "quant-ph/0112061",
"authors": [
"C. Emary",
"R. F. Bishop"
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"doi": "10.1063/1.1490406",
"journal_ref": "J. Math. Phys. 43, 3916 (2002)",
"title": "Bogoliubov transformations and exact isolated solutions for simple non-adiabatic Hamiltonians",
"url": "https://arxiv.org/abs/quant-ph/0112061"
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