International Journal of Theoretical Physics

, Volume 58, Issue 6, pp 1908–1926 | Cite as

Induced States from Coherent State via Photon-Addition Operations

  • Hong-Chun Yuan
  • Xue-Xiang Xu
  • Jian-Wen Cai
  • Ye-Jun XuEmail author
  • Xiang-Guo Meng


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.


Quantum state engineering Coherent state Photon-addition Orthogonalization 



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Authors and Affiliations

  • Hong-Chun Yuan
    • 1
  • Xue-Xiang Xu
    • 2
  • Jian-Wen Cai
    • 1
  • Ye-Jun Xu
    • 3
    Email author
  • Xiang-Guo Meng
    • 4
  1. 1.College of Electrical and Optoelectronic EngineeringChangzhou Institute of TechnologyChangzhouChina
  2. 2.College of Physics and Communication ElectronicsJiangxi Normal UniversityNanchangChina
  3. 3.School of Mechanical and Electronic EngineeringChizhou UniversityChizhouChina
  4. 4.Shandong Provincial Key Laboratory of Optical Communication Science and Technology, School of Physical Science and Information EngineeringLiaocheng UniversityLiaochengChina

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