Abdel-Khalek S, Alshehri Hashim M, Khalil E M, Obada A-S F
Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia.
Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt.
Sci Rep. 2021 Apr 1;11(1):7345. doi: 10.1038/s41598-021-85944-6.
The interacting of two qubits and an N-level atom based on su(2) Lie algebra in the presence of both qubit-qubit interaction and dissipation term is considered. The effects of the qubit-qubit interaction and the dissipation term on the dynamics of the proposed system are discussed in detail for certain values of the number of levels. The dynamical expressions of the observable operators are obtained using the Heisenberg equation of motion. The population inversion and linear entropy, as well as the concurrence formula as a measure of entanglement between the two qubits are calculated and discussed. The roles of the number of levels, the qubit-qubit coupling parameter and the dissipation rate on these quantities are also discussed. We explore the sudden birth and sudden death of the entanglement phenomena with and without the dissipation term.
考虑了在存在量子比特 - 量子比特相互作用和耗散项的情况下，基于su(2)李代数的两个量子比特与一个N能级原子的相互作用。针对特定能级数量值，详细讨论了量子比特 - 量子比特相互作用和耗散项对所提出系统动力学的影响。利用海森堡运动方程获得了可观测量算符的动力学表达式。计算并讨论了布居反转、线性熵以及作为两个量子比特之间纠缠度量的并发度公式。还讨论了能级数量、量子比特 - 量子比特耦合参数和耗散率对这些量的作用。我们探讨了有无耗散项时纠缠现象的突然产生和突然消失。
