Variational results for the Rabi Hamiltonian

R. F. Bishop, N. J. Davidson, R. M. Quick, D. M. Van Der Walt

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    Abstract

    We present simple two-and three-parameter variational calculations for the Rabi Hamiltonian. The importance of symmetry in the ansätze is stressed. The numerical results indicate that our ansätze provide accurate approximations both to the ground-state energy and wavefunction and to the first excited state if the two-boson energy significantly exceeds the level splitting.
    Original languageEnglish
    Pages (from-to)215-224
    Number of pages10
    JournalPhysics Letters A
    Volume254
    DOIs
    Publication statusPublished - 1999

    Keywords

    • Phonon-electron interaction
    • Photon-electron interaction
    • Rabi Hamiltonian
    • Two-level systems

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