线性及非线性介质腔中量子纠缠动力学特征

摘要/Abstract

摘要： 如何抑制纠缠突然死亡现象的发生对提高量子纠缠动力学演化性能具有极大地意义，初始纠缠原子分别与非线性N-J-C模型及J-C模型进行相互作用，运用共生纠缠的度量方法分析非线性、耦合强度以及失谐量对纠缠原子动力学演化的影响，寻找避免纠缠突然死亡发生条件。在J-C模型中原子在纠缠演化中发生纠缠突然死亡现象；然而在N-J-C模型中利用介质的非线性和失谐量的影响可以避免纠缠突然死亡的发生，而且一定程度上几乎可以恢复到原子间纠缠的初始值。

关键词: 量子光学, 纠缠突然死亡的控制, 共生纠缠度, J-C模型, N-J-C模型

Abstract: It is significant that how to improve the property of quantum entanglement dynamics evolution by controlling the happening of entanglement sudden death. Initially entangled atoms interact with Jaynes-Cummings (J-C) model and Nonlinear Jaynes-Cummings (N-J-C) model respectively. Using the method of concurrence we researched the effect of nonlinearity and coupling of atom-field in N-J-C model and the effect of detuning. The purpose is to find how to avoid the happening of entanglement sudden death. It shows that the phenomenon of entanglement sudden death appears in J-C model, however the meaningful result is that entanglement sudden death vanishes in N-J-C model by using the effect of nonlinearity and detuning in a certain condition. And in addition, it can almost make the atoms entanglement degree reach to the original values.

Key words: Quantum optics, controlling of entanglement sudden death, concurrence, J-C model, N-J-C model

中图分类号:

O431.2

杜少将，夏云杰. 线性及非线性介质腔中量子纠缠动力学特征[J]. J4, 2013, 30(6): 710-715.

Du Shao-jiang， Xia Yun-jie2. Characteristics of entanglement dynamics in linear and nonlinear cavity [J]. J4, 2013, 30(6): 710-715.

参考文献

[1] Jaynes E T, F W Cummings, Comparison of quantum and semiclassical radiation theories with application to the beam maser [J].Proc. IEEE, 1963, 51(1): 89-109. [2] Buck B and Sukumar C V. Exactly soluble model of atom-phonon coupling showing periodic decay and revival [J].Phys. Lett. A, 1981, 81(2-3): 132-135. [3] Buzek V. Jaynes-Cummings model with intensity-dependent coupling interacting with Holstein-Primakoff SU (1, 1) coherent state [J].Phys. Rev. A. 1989, 39(6): 3196-3199. [4] Gerry C C. Two-photon Jaynes-Cummings model interacting with the squeezed vacuum [J].Phys. Rev. A. 1988, 37(7): 2683-2686. [5] Werner M J and Risken H. Quasiprobability distributions for the cavity-damped Jaynes-Cummings model with an additional Kerr medium[J]. Phys. Rev. A. 1991, 44(7): 4623-4632. [6] Gora P and Jedrzejek C. Nonlinear Jaynes-Cummings model [J].Phys. Rev. A. 1992, 45(9): 6816-6828. [7] Joshi A and Puri R R. Dynamical evolution of the two-photon Jaynes-Cummings model in a Kerr-like medium [J].Phys. Rev. A. 1992, 45(7): 5056-5060. [8] Dicke R H. Coherence in Spontaneous Radiation Processes [J]. Phys. Rev. 1954, 93(1): 99-110. [9] Tavis M and Cummings F W. Exact Solution for an N-Molecule-Radiation-Field Hamiltonian [J].Phys. Rev. 1968, 170(2): 379-384. [10] Vogel W and de Matos Filho. Nonlinear Jaynes-Cummings dynamics of a trapped ion [J].Phys. Rev. A. 1995, 52(5): 4214-4217. [11] Liu J and Wang Y. Motion-quantized Jaynes-Cummings models with an arbitrary intensity-dependent medium [J].Phys. Rev. A. 1996, 54(3): 2326-2333. [12] Wootters W K. Entanglement of Formation of an Arbitrary State of Two Qubits [J]. Phys. Rev. Lett.1998, 80(10): 2245-2248. [13] Yu T and Eberly J H. Sudden Death of Entanglement [J].Science.2009, 323(5914): 598-601. [14] Wang X and Sanders B C. Multipartite entangled coherent states [J]. Phys. Rev. A.2001, 65 (1): 012303-012309. [15] 李星崔文凯张英杰 .强经典驱动腔QED系统的量子纠缠演化特性.量子电子学报 ,2013,30(2): 186-191.(Evolutional quantum entanglement character of a classical strongly driven cavity QED system.Chinese Journal of Quantum Electronics ,2013,30(2): 186-191) [16] 史鹏李健健陈立波顾永建 .单光子波包与腔-量子点相互作用的动力学研究.量子电子学报 ,2012,29(2): 165-170. (SHI Peng, LI Jian-jian, CHEN Li-bo, GU Yong-jian .Dynamics of interaction between single photons and cavity-quantum dot system.Chinese Journal of Quantum Electronics ,2012,29(2): 165-170) [17] 王建荣,赖云忠,李坤 .Kerr介质中失谐量对级联三能级原子纠缠演化的影响.量子电子学报 ,2011,28(4): 434-438. (WANG Jianrong，LAI Yunzhong，LI Kun .Influence of detuning on entanglement evolution of cascade three-level atom in Kerr medium.Chinese Journal of Quantum Electronics ,2011,28(4): 434-438) [18] 何帶果董裕力方建兴钱丽胡洁 .纠缠相干态的制备.量子电子学报 ,2011,28(4): 407-413. ( HE Daiguo, DONG Yuli, FANG Jianxing, QIAN Li, HU Jie .Entangled coherent states: generation.Chinese Journal of Quantum Electronics ,2011,28(4): 407-413) [19] 胡洁方建兴钱丽何带果 .在非均匀磁场中 Dzialoshinskii-Moriya相互作用对伊辛链热纠缠的影响.量子电子学报 ,2011,28(3): 329-334. ( HU Ji, FANG Jian-Xin, QIAN Li, HE Dai-Guo .Thermal entanglement of Ising Model with Dzyaloshinskii-Moriya interaction in an inhomogeneous magnetic field*.Chinese Journal of Quantum Electronics ,2011,28(3): 329-334) [20] 包丽萨楚尔夫吴淑梅 .多光子Tavis-Cummings模型中运动原子与二项式光场相互作用的量子纠缠.量子电子学报 ,2010,27(5): 580-585. ( BAO Li Sachuerfu WU Shumei .Quantum entanglement of the binomial field interacting with the moving atoms in the multiphoton Tavis-Cummings model.Chinese Journal of Quantum Electronics ,2010,27(5): 580-585) [21] 王青狮郭云香赖云忠 .Kerr介质中双模SU(1,1)相干态场与三能级原子的量子纠缠.量子电子学报 ,2009,26(5): 577-584. ( WANG Qing-Shi, GUO Yun-Xiang, LAI Yun-Zhong .Quantum entanglement of two-mode SU(1,1) coherent states with three-level atoms in a Kerr-like-medium.Chinese Journal of Quantum Electronics ,2009,26(5): 577-584)