2001/12/31 by Clive Emary, C. Emary, R. F. Bishop · 47 citations
Computer Science · Mathematics · Physics and Astronomy · #Adiabatic process #Adiabatic quantum computation #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Exact solutions in general relativity #Fock space #Hamiltonian (control theory) #Mathematical optimization #Mathematical physics #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum computer #Quantum mechanics #Quantum optics and atomic interactions #Simple (philosophy) #Simplicity #Statistical physics #quant-ph
paper · pdf · open access · doi:10.1063/1.1490406
published in Journal of Mathematical Physics 43(8), 3916-3926 (American Institute of Physics) · LaTeX, 16 pages, 1 figure. Minor additions and journal ref
openalex publication_date 2002/08/01 · arxiv created 2002/08/06 · arxiv updated 2015/06/26 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
We present a new method for finding isolated exact solutions of a class of nonadiabatic 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.