极性分子摆动态的三体量子关联

李艳杰; 刘金明

doi:10.7498/aps.63.200302

摘要

极性分子具有较长的相干时间和较强的偶极-偶极相互作用，因此它被视为量子信息处理的有效量子载体. 基于分子摆动态作为量子比特，研究了处于热平衡状态下三极性分子线性链系统的三体量子关联特性，分析了三体负性熵纠缠度、测量诱导扰动和三体量子失协随与电场强度、分子电偶极矩、分子转动常数、偶极-偶极相互作用和温度等参数有关的三个无量纲变量之间的变化关系. 研究表明：在其他参数给定的情况下，随电场强度的增加，三体量子关联均变小；随偶极-偶极相互作用强度的增大，三体量子关联先增加到峰值再逐渐变小；温度越高，负性熵纠缠度和三体量子失协越小，但测量诱导扰动随温度的改变在电场强度和偶极-偶极相互作用影响下呈现不同的变化趋势. 此外，通过调节电场强度、偶极-偶极相互作用和温度，可改变与操控极性分子摆动态的三体量子关联.

关键词:

Abstract

Cold polar molecules have long coherence time and strong dipole-dipole interaction and thus are regarded as a promising quantum carrier for quantum information processing. In this paper, by employing the pendular states of polar molecules as qubit, we investigate the properties of three types of tripartite quantum correlations for three linear polar molecules and numerically analyze the relations of tripartite negativity, measurement-induced disturbance (MID), and tripartite quantum discord (TQD) to three dimensionless reduced variables that relate to external field strength, dipole moment, rotational constant, dipole-dipole coupling, and temperature. The result shows that if the values of the other parameters are fixed, the three quantum correlations decrease with the increase of the field strength, and the three quantum correlations first increase to their respective maxima and then diminish gradually as the dipole-dipole coupling becomes larger. Moreover, as the temperature increases, both tripartite negativity and TQD become small, but with the variation of temperature there exhibit different evolution tendencies for MID between the influence of the electric field strength and that of the dipole-dipole coupling. In addition, the three quantum correlations of polar molecules in pendular state can be manipulated by tuning the external electric field strength, dipole-dipole coupling, and temperature.

Keywords:

作者及机构信息

1.
华东师范大学, 精密光谱科学与技术国家重点实验室, 上海 200062

基金项目: 国家自然科学基金（批准号：11174081，11034002，11134003，11104075）和国家重点基础研究发展计划（批准号：2011CB921602，2012CB821302）资助的课题.

Authors and contacts

1.
State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11174081, 11034002, 11134003, 11104075) and the National Basic Research Program of China (Grant Nos. 2011CB921602, 2012CB821302).

参考文献

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施引文献

[1]	Nielsen M A, Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
[2]	Amico L, Fazio R, Osterloh A, Vedral V 2008 Rev. Mod. Phys. 80 517
[3]	Horodecki R, Horodecki P, Horodecki M, Horodecki K 2009 Rev. Mod. Phys. 81 865
[4]	Vidal G, Werner R F 2002 Phys. Rev. A 65 032314
[5]	Bennett C H, DiVincenzo D P, Smolin J A, Wootters W K 1996 Phys. Rev. A 54 3824
[6]	Wootters W K 1998 Phys. Rev. Lett. 80 2245
[7]	Hill S, Wootters W K 1997 Phys. Rev. Lett. 78 5022
[8]	Vedral V, Plenio M B, Rippin M A, Knight P L 1997 Phys. Rev. Lett. 78 2275
[9]	Vedral V 2002 Rev. Mod. Phys. 74 197
[10]	Ollivier H, Zurek W H 2001 Phys. Rev. Lett. 88 017901
[11]	Henderson L, Vedral V 2001 J. Phys. A 34 6899
[12]	Luo S 2008 Phys. Rev. A 77 022301
[13]	Dakic B, Vedral V, Brukner C 2010 Phys. Rev. Lett. 105 190502
[14]	Luo S, Fu S 2010 Phys. Rev. A 82 034302
[15]	Modi K, Paterek T, Son W, Vedral V, Williamson M 2010 Phys. Rev. Lett. 104 080501
[16]	Giorgi G L, Bellomo B, Galve F, Zambrini R 2011 Phys. Rev. Lett. 107 190501
[17]	Buscemi F, Bordone P 2013 Phys. Rev. A 87 042310
[18]	Werlang T, Souza S, Fanchini F F, Boas C J V 2009 Phys. Rev. A 80 024103
[19]	Wang B, Xu Z Y, Chen Z Q, Feng M 2010 Phys. Rev. A 81 014101
[20]	Man Z X, Xia Y J, An N B 2011 J. Phys. B 44 095504
[21]	Yang Y, Wang A M 2013 Acta Phys. Sin. 62 130305 (in Chinese) [杨阳, 王安民 2013 物理学报 62 130305]
[22]	Guo H, Liu J M, Zhang C J, Oh C H 2012 Quantum Inf. Comput. 12 0677
[23]	Hu M L, Fan H 2012 Ann. Phys. 327 851
[24]	He Z, Li L W 2013 Acta Phys. Sin. 62 180301 (in Chinese) [贺志, 李龙武 2013 物理学报 62 180301]
[25]	Modi K, Brodutch A, Cable H, Paterek T, Vedral V 2012 Rev. Mod. Phys. 84 1655
[26]	Shen C G, Zhang G F, Fan K M, Zhu H J 2014 Chin. Phys. B 23 050310
[27]	Qiu L, Ye B 2014 Chin. Phys. B 23 050304
[28]	Xu J S, Xu X Y, Li C F, Zhang C J, Zou X B, Guo G C 2010 Nat. Commun. 1 7
[29]	Auccaise R, Celeri L C, Soares-Pinto D O, de Azevedo E R, Maziero J, Souza A M, Bonagamba T J, Sarthour R S, Oliveira I S, Serra R M 2011 Phys. Rev. Lett. 107 140403
[30]	Rong X, Jin F, Wang Z, Geng J, Ju C, Wang Y, Zhang R, Duan C, Shi M, Du J 2013 Phys. Rev. B 88 054419
[31]	Krems R, Friedrich B, Stwalley W C 2009 Cold Molecules: Theory, Experiment, Applications (London: Taylor Francis)
[32]	Carr L D, DeMille D, Krems R V, Ye J 2009 New J. Phys. 11 055049
[33]	Dulieu O, Gabbanini C 2009 Rep. Prog. Phys. 72 086401
[34]	Ulmanis J, Deiglmayr J, Repp M, Wester R, Weidemuller M 2012 Chem. Rev. 112 4890
[35]	Deng L Z, Liang Y, Gu Z X, Hou S Y, Li S Q, Xia Y, Yin J P 2011 Phys. Rev. Lett. 106 140401
[36]	DeMille D 2002 Phys. Rev. Lett. 88 067901
[37]	Andre A, DeMille D, Doyle J M, Lukin M D, Maxwell S E, Rabl P, Schoelkopf R J, Zoller P 2006 Nat. Phys. 2 636
[38]	Tordrup K, Negretti A, Molmer K 2008 Phys. Rev. Lett. 101 040501
[39]	Chen Q, Yang W, Feng M 2012 Phys. Rev. A 86 045801
[40]	Charron E, Milman P, Keller A, Atabek O 2007 Phys. Rev. A 75 033414
[41]	Kuznetsova E, Gacesa M, Yelin S F, Cote R 2010 Phys. Rev. A 81 030301
[42]	Wei Q, Kais S, Friedrich B, Herschbach D 2011 J. Chem. Phys. 134 124107
[43]	Zhu J, Kais S, Wei Q, Herschbach D, Friedrich B 2013 J. Chem. Phys. 138 024104
[44]	Sabin C, Garcia-Alcaine G 2008 Eur. Phys. J. D 48 43

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