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

doi:10.1088/1674-1056/ab69e8

中国物理B ›› 2020, Vol. 29 ›› Issue (3): 30301-030301.doi: 10.1088/1674-1056/ab69e8

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

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

Dao-Ming Lu(卢道明)

College of Mechanic and Electronic Engineering, Wuyi University, Wuyishan 354300, China

收稿日期:2019-10-15 修回日期:2020-01-01 出版日期:2020-03-05 发布日期:2020-03-05
通讯作者: Dao-Ming Lu E-mail:ludmnp@163.com
基金资助:
Project supported by the Natural Science Foundation of Fujian Province of China (Grant No. 2015J01020).

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

Dao-Ming Lu(卢道明)

College of Mechanic and Electronic Engineering, Wuyi University, Wuyishan 354300, China

Received:2019-10-15 Revised:2020-01-01 Online:2020-03-05 Published:2020-03-05
Contact: Dao-Ming Lu E-mail:ludmnp@163.com
Supported by:
Project supported by the Natural Science Foundation of Fujian Province of China (Grant No. 2015J01020).

摘要/Abstract

摘要： 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.

关键词: quantum optics, Laguerre polynomial', s operator, squeezing vacuum state, quantum property

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.

Key words: quantum optics, Laguerre polynomial', s operator, squeezing vacuum state, quantum property

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

42.50.Dv (Quantum state engineering and measurements)

卢道明. Construction of Laguerre polynomial's photon-added squeezing vacuum state and its quantum properties[J]. 中国物理B, 2020, 29(3): 30301-030301.

Dao-Ming Lu(卢道明). Construction of Laguerre polynomial's photon-added squeezing vacuum state and its quantum properties[J]. Chin. Phys. B, 2020, 29(3): 30301-030301.

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

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

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