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Quantum Optics Journal of the European Optical Society Part B

Diagonalization of the generalized squeeze operators and the generalized squeezed number states

W S Liu, Paolo Tombesi

Published Jun 1, 1993• 5 citations
Publisher

Abstract

The generalized single-mode and two-mode squeeze operators are diagonalized by employing Bogolyubov and Bogolyubov-Valatin transformations, and the unitary operators performing these transformations are derived. The authors find that the eigenvalues are complex exponential functions with the exponential factors of harmonic-oscillator spectra and the eigenstates are a new kind of squeezed number state different from the ordinary squeezed number states.

DOI
10.1088/0954-8998/5/3/006

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The generalized single-mode and two-mode squeeze operators are diagonalized by employing Bogolyubov and Bogolyubov-Valatin transformations, and the unitary operators performing these transformations are derived. The authors find that the eigenvalues are complex exponential functions with the exponential factors of harmonic-oscillator spectra and the eigenstates are a new kind of squeezed number state different from the ordinary squeezed number states.
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