In this paper, a detailed solution to the problem of the interaction of two qubits with the su(1, 1) group is presented in a cavity containing a Kerr-like medium. The entanglement between the two qubits and the su(1, 1) Lee group is measured by using quantum field entropy. The entropy squeezing phenomenon is estimated. The relation between the quantum field entropy and concurrence is discussed. The effective of Kerr medium on the von Neumann entropy, the entanglement between the two qubits as well as the initial quantum states are discussed. Also, squeezing periods are estimated for some initial quantum states. We discover through the results that entanglement and entropy squeezing are influenced by Kerr medium and initial conditions.

中文翻译：

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两个两能级原子与非线性系统相互作用的信息熵和压缩

在本文中，在包含类克尔介质的腔中提出了两个量子位与 su(1, 1) 群相互作用问题的详细解决方案。两个量子比特和 su(1, 1) Lee 群之间的纠缠是通过使用量子场熵来测量的。估计熵压缩现象。讨论了量子场熵与并发的关系。讨论了克尔介质对冯诺依曼熵的影响、两个量子比特之间的纠缠以及初始量子态。此外，估计一些初始量子态的压缩周期。我们通过结果发现纠缠和熵压缩受克尔介质和初始条件的影响。