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Sum Squeezing, Difference Squeezing, Higher-Order Antibunching and Entanglement of Two-Mode Photon-Added Displaced Squeezed States

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Abstract

In this paper, we study some higher-order nonclassical properties and intermodal entanglement that may arise in the so called two-mode photon-added displaced squeezed state. We derive analytical expressions for the degree of sum squeezing and difference squeezing, which are interesting kinds of two-mode squeezing, as well as for the degree of antibunching to any orders. We also examine the degree of entanglement between the two modes using the existing Hillery-Zubairy criterion. Based on the derived expressions we analyze in detail the behavior of these nonclassical effects and entanglement depending on the parameters involved.

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Acknowledgements

The authors are grateful to the referees for the valuable comments and suggestions. This research is supported by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under a grant number 103.99-2011.26.

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Correspondence to Duc Minh Truong.

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Truong, D.M., Nguyen, H.T.X. & Nguyen, A.B. Sum Squeezing, Difference Squeezing, Higher-Order Antibunching and Entanglement of Two-Mode Photon-Added Displaced Squeezed States. Int J Theor Phys 53, 899–910 (2014). https://doi.org/10.1007/s10773-013-1879-6

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