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Squeezed vacuum as an eigenstate of two-photon annihilation operator

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Abstract

We introduce the inverse annihilation and creation operatorsâ −1 andâ +-1 by their actions on the number states. We show that the squeezed vacuum exp(1/2;ξâ +2]|0> and squeezed first number state exp[1/2;ξâ +2]|n=1> are respectively the eigenstates of the operators (â †−1 â) and (ââ +-1) with the eigenvalue ξ.

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Authors and Affiliations

  1. Department of Physics, Indian Institute of Technology, 110 016, New Delhi, India

    C L Mehta, Anil K Roy & G M Saxena

  2. Centre for Theoretical Studies, Indian Institute of Science, 560 012, Bangalore, India

    Anil K Roy

  3. Time and Frequency Section, National Physical Laboratory, 110 012, New Delhi, India

    G M Saxena

Authors
  1. C L Mehta
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  2. Anil K Roy
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  3. G M Saxena
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Mehta, C.L., Roy, A.K. & Saxena, G.M. Squeezed vacuum as an eigenstate of two-photon annihilation operator. Pramana - J. Phys. 42, 311–314 (1994). https://doi.org/10.1007/BF02847756

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  • DOI: https://doi.org/10.1007/BF02847756

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