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Squeezed vacuum as an eigenstate of two-photon annihilation operator
Authors:C L Mehta  Anil K Roy  G M Saxena
Affiliation:(1) Department of Physics, Indian Institute of Technology, 110 016 New Delhi, India;(2) Centre for Theoretical Studies, Indian Institute of Science, 560 012 Bangalore, India;(3) Time and Frequency Section, National Physical Laboratory, 110 012 New Delhi, India
Abstract:We introduce the inverse annihilation and creation operatorsa −1 anda +-1 by their actions on the number states. We show that the squeezed vacuum exp(1/2;ξa +2]|0> and squeezed first number state exp[1/2;ξa +2]|n=1> are respectively the eigenstates of the operators (a †−1 a) and (aa +-1) with the eigenvalue ξ.
Keywords:Coherent states  squeezed states  squeezed vacuum  two-photon annihilation operators
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