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

doi:10.1088/1674-1056/23/8/080301

Abstract 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.

Keywords: IWOP method squeezed states Hermite polynomials

Received: 15 September 2013
Revised: 28 January 2014
Accepted manuscript online:

PACS:	03.65.-w	(Quantum mechanics)
	42.50.-p	(Quantum optics)
	03.67.-a	(Quantum information)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11175113).

Corresponding Authors: Fan Hong-Yi
E-mail: fhym@ustc.edu.cn

Cite this article:

Fan Hong-Yi (范洪义), Wang Zhen (王震) New operator-ordering identities and associative integration formulas of two-variable Hermite polynomials for constructing non-Gaussian states 2014 Chin. Phys. B 23 080301

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

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