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Induced States from Coherent State via Photon-Addition Operations

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Abstract

Three classes of quantum states are induced from coherent state (CS) based on three operations associated with the photon creation operator. One class is the famous photon-added coherent state (PACS) introduced by Agarwal and Tara (Phys. Rev. A 43, 492–497, 1991). The other two classes are the orthogonal states of the CS (Here we abbreviate them as OCS1 and OCS2). Indeed, the OCS1 is just the displacement Fock state, and the OCS2 is constructed by orthogonalizer proposed by Kim group (Phys. Rev. Lett. 116, 110501, 2016). In contrast to the original CS, the three induced states can exhibit their respective nonclassical properties. We study and compare some properties for these four quantum states (CS, PACS, OCS1, OCS2). The studied properties include the mean number of photons, the sub-Poissonian character, the squeezing effect in the field quadrature, and the quasi-probability distributions including the Husimi Q function and the Wigner function. Besides, their fidelities between each two of them are also discussed.

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Authors and Affiliations

  1. College of Electrical and Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou, 213032, China

    Hong-Chun Yuan & Jian-Wen Cai

  2. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, 330022, China

    Xue-Xiang Xu

  3. School of Mechanical and Electronic Engineering, Chizhou University, Chizhou, 247000, China

    Ye-Jun Xu

  4. Shandong Provincial Key Laboratory of Optical Communication Science and Technology, School of Physical Science and Information Engineering, Liaocheng University, Liaocheng, 252059, China

    Xiang-Guo Meng

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  1. Hong-Chun Yuan
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  2. Xue-Xiang Xu
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  5. Xiang-Guo Meng
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Correspondence to Ye-Jun Xu.

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Supported by the National Natural Science Foundation of China (Nos.11665013 and 11704051), the Natural Science Foundation of Jiangsu Province(No.BK20171197), the Jiangsu Collaborative Innovation Centre for Cultural Creativity (No.XYN1706), and the Research Foundation of 333 Project of Jiangsu Province (No.BRA2018161).

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Yuan, HC., Xu, XX., Cai, JW. et al. Induced States from Coherent State via Photon-Addition Operations. Int J Theor Phys 58, 1908–1926 (2019). https://doi.org/10.1007/s10773-019-04086-8

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  • DOI: https://doi.org/10.1007/s10773-019-04086-8

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