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量子关联是量子信息、量子计算与量子计量领域的重要资源, 在量子纠缠和贝尔非局域性中, 两子系统起着同等关键的作用, Einstein-Podolsky-Rosen (EPR)量子引导关联的强度介于量子纠缠和贝尔非局域性之间, 对单向EPR量子引导关联而言两子系统的作用不对等. 本文研究了双模Bose-Hubbard模型中模间量子关联的动态特性, 揭示了EPR量子引导关联的取向对系统初态模间交换对称性的依赖关系. 根据Hillery-Zubairy纠缠判据以及基于最大平均量子Fisher信息的纠缠判据考察了系统初态对模间量子纠缠演化规律的影响. 如果模间耦合强度远大于同一势阱内粒子间的相互作用, 初始处于SU(2)相干态的系统在具有确定的两子系统交换对称性的条件下, 其量子关联呈现简单的周期性演化规律; 当这种对称性破缺时, 模间量子关联的演化呈现较复杂的崩塌与回复现象.
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[1] Haas F, Volz J, Gehr R, Reichel J, Estve J 2014 Science 344 180
[2] Giovannetti V, Lloyd S, Maccone L 2011 Nat. Photon. 5 222
[3] Sahota J, Quesada N 2015 Phys. Rev. A 91 013808
[4] Marino A M, Pooser R C, Boyer V, Lett P D 2009 Nature 457 859
[5] Piani M, Watrous J 2015 Phys. Rev. Lett. 114 060404
[6] Bowles J, Vrtesi T, Quintino M T, Brunner N 2014 Phys. Rev. Lett. 112 200402
[7] Hndchen V, Eberle T, Steinlechner S, Samblowski A, Franz T, Werner R F, Schnabel R 2012 Nat. Photon. 6 596
[8] Hillery M, Zubairy M S 2006 Phys. Rev. Lett. 96 050503
[9] Hillery M, Zubairy M S 2006 Phys. Rev. A 74 032333
[10] Smerzi A 2009 Phys. Rev. Lett. 102 100401
[11] Ma J, Wang X G 2009 Phys. Rev. A 80 012318
[12] Li N, Luo S 2013 Phys. Rev. A 88 014301
[13] Blch I, Dalibard J, Zwerger W 2008 Rev. Mod. Phys. 80 885
[14] Blch I, Dalibard J, Nascimbne S 2012 Nat. Phys. 8 267
[15] Blch I 2008 Nature 453 1015
[16] Zhang Z H, Lu P, Feng S P, Yang S J 2012 Phys. Rev. A 85 033617
[17] Giri S K, Sen B, Ooi C H R, Pathak A 2014 Phys. Rev. A 89 033628
[18] McConnell R, Zhang H, Hu J Z, Ćuk S, Vuleti V 2015 Nature 519 439
[19] Gersch H A Knollman G C 1963 Phys. Rev. 129 959
[20] Jaksch D, Bruder C, Cirac J I, Gardiner C W, Zoller P 1998 Phys. Rev. Lett. 81 3018
[21] Eichler C, Salathe Y, Mlynek J, Schmidt S, Wallraff A 2014 Phys. Rev. Lett. 113 110502
[22] Deng X H, Jia C J, Chien C C 2015 Phys. Rev. B 91 054515
[23] Pudlik T, Hennig H, Witthaut D, Campbell D K 2014 Phys. Rev. A 90 053610
[24] He Q Y, Drummond P D, Olsen M K, Reid M D 2012 Phys. Rev. A 86 023626
[25] Marzolino U, Buchleitner A 2015 Phys. Rev. A 91 032316
[26] Milburn G J, Corney J, Wright E M, Walls D F 1997 Phys. Rev. A 55 4318
[27] Meng X J, Feng H R, Zheng Y J 2014 Chin. Phys. B 23 040305
[28] OpancĆuk B, He Q Y, Reid M D, Drummond P D 2012 Phys. Rev. A 86 023625
[29] Yang S J. Nie S M 2010 Phys. Rev. A 82 061607
[30] Arecchi F T, Courtens E, Gilmore R, Thomas H 1972 Phys. Rev. A 6 2211
[31] Sanders B C, Gerry C C 2014 Phys. Rev. A 90 045804
[32] Bohmann M, Sperling J, Vogel W 2015 Phys. Rev. A 91 042332
[33] Ma J, Huang Y X, Wang X G, Sun C P 2011 Phys. Rev. A 84 022302
[34] Hyllus P, Laskowski W, Krischek R, Schwemmer C, Wieczorek W, Weinfurter H, Pezz L, Smerzi A 2012 Phys. Rev. A 85 022321
[35] Strobel H, Muessel W, Linnemann D, Zibold T, Hume D B, Pezz L, Smerzi A, Oberthaler M K 2014 Science 345 424
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