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New Integration Transformation Connecting Coherent State and Entangled State

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Abstract

With the help of technique of integration within an ordered product (IWOP) of operators we find new integration transformation connecting the coherent state and the biparticle entangled state. We also point out that under this kind of integration transformation the direct product of two single-variable Hermite polynomials behaves quite different from the two-variable Hermite polynomials, in this way we show that the latter is intrinsic to the phase space of quantum entanglement. As a byproduct, some operator identities for theoretical quantum optics can also be neatly expressed in terms of the two-variable Hermite polynomials.

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Authors and Affiliations

  1. Department of Physics, Ningbo University, Ningbo, 315211, China

    Hong-Yi Fan

  2. Department of Physics, Changzhou Institute of Technology, Changzhou, 213002, China

    Zhen Wang

Authors
  1. Hong-Yi Fan
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  2. Zhen Wang
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Correspondence to Hong-Yi Fan.

Additional information

Work supported by National Natural Science Foundation of China under Grant No. 11175113.

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Fan, HY., Wang, Z. New Integration Transformation Connecting Coherent State and Entangled State. Int J Theor Phys 53, 964–970 (2014). https://doi.org/10.1007/s10773-013-1888-5

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  • DOI: https://doi.org/10.1007/s10773-013-1888-5

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