4.5 Article

New formulas for normalizing photon-added (-subtracted) two-mode squeezed thermal states

Journal

CHINESE PHYSICS B
Volume 22, Issue 3, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1674-1056/22/3/034202

Keywords

two-mode squeezed thermal states; normalization; photon addition and subtraction; integration within an ordered product of operators technique

Funding

  1. National Natural Science Foundation of China [11264018, 60978009, 91121023]
  2. National Basic Research Project of China [2011CBA00200]
  3. Young Talents Foundation of Jiangxi Normal University, China

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For the first time, we derive the compact forms of normalization factors for photon-added (-subtracted) two-mode squeezed thermal states by using the P-representation and the integration within an ordered product of operators (IWOP) technique. It is found that these two factors are related to the Jacobi polynomials. In addition, some new relationships for Jacobi polynomials are presented.

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