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.

中文翻译：

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二次哈密顿系统中的纠缠和压缩

我们研究了二次哈密顿系统中纠缠和挤压的产生。我们首先解析求解现场算子的时间发展。通过利用场算子时间发展的解析解，我们计算了由 Pezzé 和 Smerzi 定义的纠缠参数以及正交挤压。我们表明可以周期性地产生挤压和纠缠。我们还表明，通过增加非线性相互作用可以获得更多的纠缠和更强的挤压。