一维波导中并置两原子的量子纠缠

J4 ›› 2017, Vol. 34 ›› Issue (1): 54-61.

一维波导中并置两原子的量子纠缠

黄劲松,徐中辉,钟阳万

江西理工大学信息工程学院，江西赣州 341000

收稿日期:2015-09-28 修回日期:2015-12-09 出版日期:2017-01-28 发布日期:2017-01-28
通讯作者: 黄劲松（1977- ），湖北大冶人，博士，讲师，主要从事量子光学和量子信息等方面的研究。 E-mail:jshuangjs@126.com
基金资助:
Supported by National Natural Science Foundation of China (国家自然科学基金，11247032, 11447118), Natural Science Foundation of Jiangxi (江西省自然科学基金，20151BAB202012, 20151BAB212004, 20151BAB217026)，Scientific Research Foundation of Jiangxi Provincial Education Department (江西省教育厅自然科学研究项目，GJJ14437)

Quantum entanglement of two collocated atoms in a one-dimensional waveguide

HUANG Jinsong , XU Zhonghui，ZHONG Yangwan

School of Information Engineering, Jiangxi University of Science and Technology, Ganzhou 341000, China

Received:2015-09-28 Revised:2015-12-09 Published:2017-01-28 Online:2017-01-28

摘要/Abstract

摘要： 在线性离散关系下研究了一维波导中两个并列放置的原子之间的量子纠缠。为调查两原子间的纠缠度，用实空间方法计算了透射和反射光谱振幅，讨论了单光子的散射特性和纠缠态的并发性。结果表明：通过改变原子偶极-偶极相互作用可产生Fano线型的散射光谱，偶极-偶极相互作用可作为导致光谱Fano共振的一种可能的工具。通过调控原子-波导的耦合强度，量子并发也会发生Fano共振，可通过观察Fano共振推断出最大量子纠缠。

关键词: 量子光学；量子纠缠；光波导；光子传输；Fano共振

Abstract: In the condition of linear dispersion relation, the quantum entanglement between two atoms placed paratactically in a one-dimensional waveguide is investigated. In order to investigate the entanglement degree between two atoms, the transmission and reflection spectra amplitudes are calculated by using the real-space method, and the single-photon scattering properties and concurrence of the entangled states are discussed. Results show that the scattering spectra of Fano line shapes occur by changing the atomic dipole-dipole interaction. The dipole-dipole interaction may be utilized as a possible tool to lead to spectral Fano resonance. The quantum concurrence can also occur Fano resonance by controlling the atom-waveguide coupling strength, and the maximum quantum entanglement can be inferred by observing Fano resonance.

Key words: quantum optics; quantum entanglement; optical waveguide; photon transmission; Fano resonance

中图分类号:

O431.2

黄劲松徐中辉钟阳万. 一维波导中并置两原子的量子纠缠[J]. J4, 2017, 34(1): 54-61.

HUANG Jinsong , XU Zhonghui，ZHONG Yangwan. Quantum entanglement of two collocated atoms in a one-dimensional waveguide [J]. J4, 2017, 34(1): 54-61.

参考文献

Reference:
[1] Grover L K. Quantum mechanics helps in searching for a needle in a haystack [J]. Phys. Rev. Lett., 1997,79: 325.
[2] Pereira S F, Ou Z Y, Kimble H J. Quantum communication with correlated nonclassical states[J]. Phys. Rev. A, 2000, 62: 042311.
[3] Aspect A. Bell's inequality test: more ideal than ever [J]. Nature, 1999, 398: 189; Zou Yan. Entanglement properties in the system of atoms in Bell states interacting with the two-mode odd-even entangled coherent field[J], Chinese journal of quantum electronics (量子电子学报), 2009, 26(1): 69-75 (in chinese).
[4] Julsgaard B, Kozhekin A, Polzik E S. Experimental long-lived entanglement of two macroscopic objects [J]. Nature, 2001, 413: 400; Han Yunxia, Hu Yaohua. Effect of linear modulation of atom-field coupling on atom entanglement [J]. Chinese journal of quantum electronics (量子电子学报), 2014, 31(6): 715-719 (in chinese); Bao li, Sachuerfu, Wu Shumei. Quantum entanglement of the binomial field interacting with the moving atoms in the multiphoton Tavis-Cummings model [J]. Chinese journal of quantum electronics (量子电子学报), 2010, 27(5): 580-585 (in chinese).
[5] Turchette Q A, Wood C S, King B E, et al. Deterministic entanglement of two trapped ions[J]. Phys. Rev. Lett., 1998, 81: 3631.
[6] Fleischhauer M, Yelin S F, Lukin M D. How to trap photons? Storing single-photon quantum states in collective atomic excitations [J]. Opt. Commun., 2000, 179: 395.
[7] Blatt R and Wineland D. Entangled states of trapped atomic ions [J]. Nature, 2008, 453: 1008.
[8] Stievater T H, Li X, Steel D G, et al. Rabi oscillations of excitons in single quantum dots [J]. Phys. Rev. Lett., 2001, 87: 133603.
[9] Li X, Wu Y, Steel D G, et al. An all-optical quantum gate in a semiconductor quantum dot [J]. Science, 2003, 301: 809; Shi Peng, Li Jianjian, Chen Libo, et al. Dynamics of interaction between single photon and cavity-quantum dot system [J]. Chinese journal of quantum electronics (量子电子学报), 2012, 29(2): 165-170 (in chinese).
[10] Steffen M, Ansmann M, Bialczak R C, et al. Measurement of the entanglement of two superconducting qubits via state tomography [J]. Science, 2006, 313: 1423; Ding Zhiyong, He Juan, Wu Tao. One step for generation of W-class states via superconducting quantum interference devices [J]. Chinese journal of quantum electronics (量子电子学报), 2010, 27(3): 314-318 (in chinese).
[11] Shen J T, Fan S. Coherent photon transport from spontaneous emission in one-dimensional waveguides [J]. Opt. Lett., 2005, 30: 2001; ibid. Theory of single-photon transport in a single-mode waveguide. I. Coupling to a cavity containing a two-level atom [J]. Phys. Rev. A, 2009, 79: 023837; ibid. Theory of single-photon transport in a single-mode waveguide. II. Coupling to a whispering-gallery resonator containing a two-level atom [J]. Phys. Rev. A, 2009, 79: 023838; ibid. Coherent single photon transport in a one-dimensional waveguide coupled with superconducting quantum bits[J]. Phys. Rev. Lett., 2005, 95: 213001.
[12] Roy D. Two-photon scattering of a tightly focused weak light beam from a small atomic ensemble: An optical probe to detect atomic level structures [J]. Phys. Rev. A, 2013, 87: 063819.
[13] Chen Y L, Xiao Y F, Zhou X X, et al. Single-photon transport in a transmission line resonator interacting with two capacitively coupled Cooper-pair boxes [J]. J. Phys. B: At. Mol. Opt. Phys., 2008, 41: 175503.
[14] Zhou L, Gong Z R, Liu Y X, et al. Controllable scattering of a single photon inside a one-dimensional resonator waveguide [J]. Phys. Rev. Lett., 2008, 101: 100501; Zhou L, Dong H, Liu Y X, et al. Quantum supercavity with atomic mirrors [J]. Phys. Rev. A, 2008, 78: 063827; Liao J Q, Gong Z R, Zhou L, et al. Controlling the transport of single photons by tuning the frequency of either one or two cavities in an array of coupled cavities [J]. Phys. Rev. A, 2010, 81: 042304.
[15] Gonzalez-Tudela A, Martin-Cano D, Moreno E, et al. Entanglement of two qubits mediated by one-dimensional plasmonic waveguides [J]. Phys. Rev. Lett., 2011, 106: 020501.
[16] Chen G Y, Lambert N, Chou C H, et al. Surface plasmons in a metal nanowire coupled to colloidal quantum dots: Scattering properties and quantum entanglement [J]. Phys. Rev. B, 2011, 84: 045310.
[17] Chen G Y, Chen Y N. Correspondence between entanglement and Fano resonance of surface plasmons [J]. Opt. Lett., 2012, 37: 4023.
[18] Cheng M T, Ma X S, Luo Y Q, et al. Entanglement generation and quantum state transfer between two quantum dot molecules mediated by quantum bus of plasmonic circuits [J]. Appl. Phys. Lett., 2011, 99: 223509.
[19] Chen G Y, Li C M, Chen Y N. Generating maximum entanglement under asymmetric couplings to surface plasmons [J]. Opt. Lett., 2012, 37: 1337.
[20] Chen Y N, Chen G Y, Chuu D S, et al. Quantum-dot exciton dynamics with a surface plasmon: Band-edge quantum optics [J]. Phys. Rev. A, 2009, 79: 033815.
[21] Chen W, Chen G Y, Chen Y N. Coherent transport of nanowire surface plasmons coupled to quantum dots [J]. Opt. Expr., 2010, 18: 10360.
[22] Chen G Y, Liu M H, Chen Y N. Scattering of microwave photons in superconducting transmission-line resonators coupled to charge qubits [J]. Phys. Rev. A, 2014, 89: 053802.
[23] Wootters W K. Entanglement of formation of an arbitrary state of two qubits [J]. Phys. Rev. Lett., 1998, 80: 2245.