V型三能级原子与双模奇偶纠缠相干光场相互作用的量子态保真度

J4 ›› 2009, Vol. 26 ›› Issue (3): 320-326.

V型三能级原子与双模奇偶纠缠相干光场相互作用的量子态保真度

邹艳^1,2

1. 德州学院物理系山东德州 253023；
2. 山东省高校生物物理重点实验室山东德州 253023

收稿日期:2008-08-19 修回日期:2008-10-07 出版日期:2009-05-28 发布日期:2009-05-07
通讯作者: 邹艳（1964-），女，山东平原人，副教授，硕士，从事量子光学和量子信息学研究工作。 E-mail:dzzouyan@163.com
基金资助:
德州学院科研基金(07024)

Fidelity of quantum states for V-type three-level atom interacting with the two-mode odd-even entangled coherent field

ZOU Yan

Received:2008-08-19 Revised:2008-10-07 Published:2009-05-28 Online:2009-05-07

摘要/Abstract

摘要：

研究了V型三能级原子与双模奇偶纠缠相干光场相互作用系统的量子态保真度，运用数值计算的方法讨论了失谐量、双模光场的强度和原子分布角对量子信息保真度的影响。结果表明：原子的量子态保真度优于系统的或光场的量子态保真度，原子初始处于基态时，原子的保真度好于激发态或叠加态的情况；原子的保真度随着失谐量或双模光场强度的增大而增大；系统的和光场的保真度时间演化特性是相似的。失谐量、双模光场的强度和原子的分布角都对量子态保真度的时间演化曲线的频率有影响。

关键词: 量子光学, 量子态保真度, V型三能级原子, 双模奇偶纠缠相干光场

Abstract:

The evolution characteristics of the fidelity of quantum states for a V-type three-level atom interacting with the two-mode odd-even entangled coherent field are investigated. The influences of the detuning parameter, the two-mode light field intensity and the atomic distribution angle on the fidelity of quantum states are discussed by using numerical calculations. The results show that the nature of fidelity for the atom is better than that for the system and the field, the increasing of the detuning parameter or the initial field intensity can be a good help for the increasing of the fidelity of the atom, and it is much better when the atom is initially in the ground state. The evolution frequencies of the fidelities are modulated by the detuning parameter. They show quantum collapse and revival behaviors when the two-mode light field intensity is strong enough.

Key words: quantum optics, fidelity of quantum states, V type three-level atom, two-mode odd-even entangled coherent field

中图分类号:

O431.2

邹艳. V型三能级原子与双模奇偶纠缠相干光场相互作用的量子态保真度[J]. J4, 2009, 26(3): 320-326.

ZOU Yan. Fidelity of quantum states for V-type three-level atom interacting with the two-mode odd-even entangled coherent field[J]. J4, 2009, 26(3): 320-326.

参考文献

[1] Jaynes E T, Cummings F W. Comparison of quantum and semi classical radiation theories with application to beam maser [J]. Proc. IEEE, 1963, 51(1): 89-98
[2] Rempe G, Walther H, Klein N. Observation of quantum collapse and revival in a one-atom maser[J]. Phys. Rev. lett. 1987, 58(4): 353-356
[3] Caves C M. Quantum-mechanical noise in an interferometer[J]. Phys. Rev.D, 1981, 23(8): 1693-1708
[4] Rempe G, Thompson R J, Brecha R J, et al. Optical bistability and photon statistics in cavity quantum electrodynamics[J]. Phys. Rev. lett. 1991, 67(13): 1727-1730
[5] Li Y P, Liu Y L, He J Y. Influences of detuning on the entropy squeezing properties in the system of single-mode field interacting with Ξ type three-level atom[J]. Chinese Journal of Quantum Electronics（量子电子学报）, 2003, 20(6): 715-719(in Chinese)
[6] He D R. Squeezing of the Two-photon Jaynes-Cummings Model in a Kerr-like Medium[J]. Chinese Journal of Quantum Electronics（量子电子学报）, 1999, 16(2): 122-125(in Chinese)
[7] Zhang D Y. Coherence Properties of a Two-level Atom in Noise Field[J]. Chinese Journal of Quantum Electronics（量子电子学报）, 2003, 20(4): 454-458(in Chinese)
[8] Chen J L, Kaszlikowski D, Kwek L C, et al. Entangled qutrits violate local realism more strongly than qubits : An analytical proof [J]. Phy. Rev. A, 2001, 64: 052109
[9] Kaszlikowski D, Gosal D, Ling E J, et al. Three- qutrit correlations violate local realism more strongly than those of three qubits[J]. Phy. Rev. A, 2002, 66: 032103
[10] Liu T K, Wang J S, Liu X J, et al. Influence of entangled states of atomic dipole-dipole interaction on the fidelity of quantum states[J]. Acta Phys. Sin.（物理学报）,2000, 49(4): 708-712 (in Chinese)
[11] Liu T K, Wang J S, Zhan M S. Fidelity of quantum states and the cross-correlation function between atoms in the non-degenerate two photons Tavis-Cummings model[J]. Chinese Journal of Quantum Electronics（量子电子学报）, 2001, 18(5): 438-444(in Chinese)
[12] Wang Z C. Effect of an external field on the fidelity of quantum states in the two-atom Tavis-Cummings model[J]. Acta Phys. Sin.（物理学报）,2006, 55(9): 4624-4629 (in Chinese)
[13] Wang Z C, Liu C L. Effect of the atomic entanglement on the fidelity of quantum states in the driving Tavis-Cummings model[J]. Chinese Journal of Quantum Electronics（量子电子学报）, 2008, 25(3): 191-197(in Chinese)
[14] Xia Y J, Wang G H, Du S J. Fidelity of the scheme of continuous variables quantum teleportation via minimum-correlation mixed quantum states[J]. Acta Phys. Sin.（物理学报）,2007, 56(8): 4331-4336 (in Chinese) [15] Guo G C. Qutantum Optics（量子光学）[M]. Beijing: Higher Education Press, 1990. 118-134(in Chinese)
[16] Tian Y H, Xu D H, Han L B. Fidelity of quantum information in a pair atoms of entanglement state interacting with the squeezed vacuum field[J]. J. At. Mol. Phys.（原子与分子物理学报）, 2006, 23(2): 255-261(in Chinese)