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Entanglement Potential Versus Negativity of Wigner Function for SUP-Operated Quantum States

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Abstract

We construct a distinct category of nonclassical quantum states by applying a superposition of products (SUP) of field annihilation (\(\hat {a}\)) and creation (\(\hat {a}^{\dagger }\)) operators of the type (\(s\hat {a}\hat {a}^{\dagger }+t\hat {a}^{\dagger }\hat {a}\)), with \(s^{2}+t^{2}=1\), upon thermal and even coherent states. We allow these SUP operated states to undergo a decoherence process and then describe the nonclassical features of the resulted field by using the entanglement potential (EP) and the negativity of the Wigner distribution function. Our analysis reveals that both the measures are reduced in the linear loss process. The partial negativity of the Wigner function disappears when losses exceed 50% but EP exists always.

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Acknowledgements

AC acknowledges Prof. R. Ghosh for her continuous support during research days. This work is supported by SERB, Department of Science and Technology, India, under the Fast Track Young Scientist scheme.

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  1. School of Physical Sciences, Jawaharlal Nehru University, New Delhi, 110067, India

    Arpita Chatterjee

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  1. Arpita Chatterjee
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Correspondence to Arpita Chatterjee.

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Chatterjee, A. Entanglement Potential Versus Negativity of Wigner Function for SUP-Operated Quantum States. Int J Theor Phys 57, 339–352 (2018). https://doi.org/10.1007/s10773-017-3566-5

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