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Entanglement and Squeezing in a Quadratic Hamiltonian System

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Abstract

We investigate the generation of entanglement and squeezing in a quadratic Hamiltonian system. We first analytically solve the time development of the field operators. By exploiting the analytical solutions of the time development of the field operators, we calculate the entanglement parameter defined by Pezzé and Smerzi and quadrature squeezing. We show that squeezing and entanglement can be periodically generated. We also show that the more entanglement and stronger squeezing can be obtained by increasing the nonlinear interaction.

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Acknowledgments

We acknowledge support from GJJ181084.

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Authors and Affiliations

  1. Department of Physics, Nanchang Normal University, Nanchang, 330032, People’s Republic of China

    Song-Song Li

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  1. Song-Song Li
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Correspondence to Song-Song Li.

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Li, SS. Entanglement and Squeezing in a Quadratic Hamiltonian System. Int J Theor Phys 59, 1578–1584 (2020). https://doi.org/10.1007/s10773-020-04425-0

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  • DOI: https://doi.org/10.1007/s10773-020-04425-0

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