Boson inverse operators and a new family of two-photon annihilation operators

Roy, Anil K. ; Mehta, C. L. (1995) Boson inverse operators and a new family of two-photon annihilation operators Journal of Modern Optics, 42 (3). pp. 707-719. ISSN 0950-0340

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Related URL: http://dx.doi.org/10.1080/09500349514550631

Abstract

We introduce the inverse of the Hermitian operator (ââ) and express the Boson inverse operators â-1 and â-1 in terms of the operators â, â and (ââ)-1. We show that these Boson inverse operators may be realized by Susskind-Glogower phase operators. In this way, we find a new two-photon annihilation operator and denote it as â2(ââ)-1. We show that the eigenstates of this operator have interesting non-classical properties. We find that the eigenstates of the operators (ââ)-1 â2, â(ââ)-1 â and â2(ââ)-1 have many similar properties and thus they constitute a family of two-photon annihilation operators.

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