Construction of Laguerre polynomial's photon-added squeezing vacuum state and its quantum properties

doi:10.1088/1674-1056/ab69e8

Abstract Laguerre polynomial's photon-added squeezing vacuum state is constructed by operation of Laguerre polynomial's photon-added operator on squeezing vacuum state. By making use of the technique of integration within an ordered product of operators, we derive the normalization coefficient and the calculation expression of <a^la^†>. Its statistical properties, such as squeezing, the anti-bunching effect, the sub-Poissonian distribution property, the negativity of Wigner function, etc., are investigated. The influences of the squeezing parameter on quantum properties are discussed. Numerical results show that, firstly, the squeezing effect of the 1-order Laguerre polynomial's photon-added operator exciting squeezing vacuum state is strengthened, but its anti-bunching effect and sub-Poissonian statistical property are weakened with increasing squeezing parameter; secondly, its squeezing effect is similar to that of squeezing vacuum state, but its anti-bunching effect and sub-Poissonian distribution property are stronger than that of squeezing vacuum state. These results show that the operation of Laguerre polynomial's photon-added operator on squeezing vacuum state can enhance its non-classical properties.

Keywords: quantum optics Laguerre polynomial' s operator squeezing vacuum state quantum property

Received: 15 October 2019
Revised: 01 January 2020
Accepted manuscript online:

PACS:	03.65.Ud	(Entanglement and quantum nonlocality)
	42.50.Dv	(Quantum state engineering and measurements)

Fund: Project supported by the Natural Science Foundation of Fujian Province of China (Grant No. 2015J01020).

Corresponding Authors: Dao-Ming Lu
E-mail: ludmnp@163.com

Cite this article:

Dao-Ming Lu(卢道明) Construction of Laguerre polynomial's photon-added squeezing vacuum state and its quantum properties 2020 Chin. Phys. B 29 030301

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Construction of Laguerre polynomial's photon-added squeezing vacuum state and its quantum properties

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