Nonclassical Properties of the Superposition of Three-Mode Photon-Added Trio Coherent State
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Nonclassical Properties of the Superposition of Three-Mode Photon-Added Trio Coherent State Tran Quang Dat1,2 · Truong Minh Duc1 Received: 20 April 2020 / Accepted: 10 August 2020 / © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract In this paper, a new state called superposition of three-mode photon-added trio coherent state is introduced and its nonclassical properties are studied. Based on the negative values of the Wigner function, we find that the nonclassical as well as non-Gaussian characteristics of the superposition of three-mode photon-added trio coherent state are more obvious than that of the original trio coherent state. The superposition of three-mode photon-added trio coherent state always appears three-mode sum squeezing while the trio coherent state does not. It also shows that the superposition of three-mode photon-added trio coherent state is genuinely entangled. The entanglement degree of this state is more improved compared with the trio coherent state. It becomes bigger and bigger through nonlocally increasing the number of added photons. Keywords Photon-added states · Nonclassical states · Wigner function · Sum squeezing · Entanglement
1 Introduction The photon additions to the coherent states play an important role to propose a class of nonclassical states [1–4]. Since the first single-mode photon addition state called photonadded coherent state was proposed in 1991 [1], many more photon-added coherent states have been proposed and their nonclassical properties have been studied [5, 6]. Especially, the experimental generation of single-photon-added coherent state was done in the laboratory in 2004 [7]. Since then, the photon-added coherent states have provided an important resource in quantum optics and quantum information theory [8–10]. It is well known that the local operations of adding photons to coherent states often display rich nonclassical properties [11–15]. Beside that, the nonlocal operations of adding photons to coherent states Truong Minh Duc
[email protected]; [email protected] 1
Center for Theoretical and Computational Physics, University of Education, Hue University, Hue, Vietnam
2
University of Transport and Communications, No.3 Cau Giay Street, Lang Thuong Ward, Dong Da District, Hanoi, Vietnam
International Journal of Theoretical Physics
as known as the superpositions of photon addition to coherent states have been proposed and their nonclassical properties also have been studied [16–21]. Those local and nonlocal actions can increase the intensity of nonclassicality [11, 13, 14, 16, 17] and the average fidelity in quantum teleportation [12, 21], and enhance the degree of entanglement as well as EPR correlation [15, 18–20]. The superpositions of two-mode photon addition along with photon subtraction to any states can enhance their entanglement as well as nonclassical properties [22–28]. For example, the superposition of photon subtraction and addition can improve the entanglement of even entangled coherent states [23], and the qu
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