General two-mode squeezed states

R. F. Bishop, A. Vourdas

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    The states Θ|A1A2〉 are considered, where the operators Θ are associated with a unitary representation of the group Sp(4,ℝ), and the two-mode Glauber coherent states |A1A2> are joint eigenstates of the destruction operators a1 and a2 for the two independent oscillator modes. We show that they are ordinary coherent states with respect to new operators b1 and b2, which are themselves general linear (Bogoliubov) transformations of the original operators a1, a2 and their hermitian conjugates a1, a2. We further show how they may be regarded as the most general two-mode squeezed states. Most previous work on two-mode squeezed states appears to be based on more restrictive definitions than our own, and thereby reduces to special cases which are unified within our treatment.
    Original languageEnglish
    Pages (from-to)527-529
    Number of pages3
    JournalZeitschrift fuer Physik B: Condensed Matter
    Publication statusPublished - 1988


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