Entanglement generation and entropy growth due to intrinsic decoherence in the Jaynes-Cummings model
Entanglement generation and entropy growth due to intrinsic decoherence in the Jaynes-Cummings model
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DOI：
10.1364/josab.21.001535
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发表时间：
2004-08
影响因子：
1.9
通讯作者：
A. Obada;H. A. Hessian
中科院分区：
文献类型：
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作者：
A. Obada;H. A. Hessian
我们研究了在多量子Jaynes-Cummings模型中，本征退相干如何导致熵的增长和最大产生纠缠的强烈退化。我们找到了多量子过程中Milburn方程的精确解，并计算了粒子（原子或俘获离子）和场子系统的部分熵以及总熵。由于总熵不守恒，并且随着时间的发展而增加，所以不能使用部分场或原子熵作为粒子场纠缠的直接度量。对于一个好的熵度量，我们还计算了部分转置密度矩阵的特征值的负性。我们发现，至少在定性上，总熵与场和原子部分熵之和的差也可以用作纠缠度量。我们的研究结果表明，纠缠度对本征退相干参数的任何变化都非常敏感。
We study how intrinsic decoherence leads to growing entropy and a strong degradation of the maximal generated entanglement in the multiquanta Jaynes–Cummings model. We find an exact solution of the Milburn equation in multiquanta precesses and calculate the partial entropy of the particle (atom or trapped ion) and field subsystem as well as total entropy. As the total entropy is not conserved, and it is shown to increase as time develops, one cannot use the partial field or atomic entropy as a direct measure of particle–field entanglement. For a good entropy measure, we also calculate the negativity of the eigenvalues of the partially transposed density matrix. We find that, at least qualitatively, the difference of the total entropy to the sum of field and atom partial entropies can be also used as an entanglement measure. Our results show that the degree of entanglement is very sensitive to any change in the intrinsic decoherence parameter.