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New operator-ordering identities and associative integration formulas of two-variable Hermite polynomials for constructing non-Gaussian states

New operator-ordering identities and associative integration formulas of two-variable Hermite polynomials for constructing non-Gaussian states
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摘要 For directly normalizing the photon non-Gaussian states (e.g., photon added and subtracted squeezed states), we use the method of integration within an ordered product (IWOP) of operators to derive some new bosonic operator-ordering identities. We also derive some new integration transformation formulas about one- and two-variable Hermite polynomials in complex function space. These operator identities and associative integration formulas provide much convenience for constructing non-Gaussian states in quantum engineering. For directly normalizing the photon non-Gaussian states (e.g., photon added and subtracted squeezed states), we use the method of integration within an ordered product (IWOP) of operators to derive some new bosonic operator-ordering identities. We also derive some new integration transformation formulas about one- and two-variable Hermite polynomials in complex function space. These operator identities and associative integration formulas provide much convenience for constructing non-Gaussian states in quantum engineering.
作者 范洪义 王震
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第8期246-251,共6页 中国物理B(英文版)
基金 Project supported by the National Natural Science Foundation of China(Grant No.11175113)
关键词 IWOP method squeezed states Hermite polynomials IWOP method, squeezed states, Hermite polynomials
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