搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

双光子过程耗散耦合腔阵列中的量子相变

熊芳 冯晓强 谭磊

引用本文:
Citation:

双光子过程耗散耦合腔阵列中的量子相变

熊芳, 冯晓强, 谭磊

Quantum phase transition in arrays of dissipative cavities with two-photon process

Xiong Fang, Feng Xiao-Qiang, Tan Lei
PDF
导出引用
  • 基于准玻色方法, 利用平均场理论解析求解了环境作用下双光子过程耦合腔阵列体系的哈密顿量, 得到了体系序参量的解析表达式, 并讨论了耗散对体系超流-Mott绝缘相变的影响. 研究结果表明: 双光子共振情况下系统重铸相干的腔间耦合率临界值为(ZJ/)= (ZJ/)c' 0.34;双光子相互作用过程比单光子过程具有更大的耗散率, 系统维持长程相干状态的时间更短, 而实现重铸相干的腔间耦合率的临界值更大.
    In this paper, we employ a new kind of quasi-boson approach and the mean field theory to study analytically the Hamiltonian of an array of cavities with a three-level atom embedded in each cavity in the process of two-photon resonant transition under the influence of a bosonic bath. The superfluid order parameter of the system is obtained analytically and then analyzed numerically to investigate the effects of dissipation on the quantum phase transition from the superfluid to the Mott-insulator phase. It is shown that when the two-photon resonance is achieved one can have the superfluid phase at (ZJ/)= (ZJ/)c' 0.34 in the related ideal case. Furthermore, the system while in the two-photon resonant process has a larger dissipation rate as compared with that in the one-photon resonant process, thus leading to the suppression of the long-range coherence time and enhancement of the critical hopping rate for restoring coherence.
      通信作者: 谭磊, tanlei@lzu.edu.cn
    • 基金项目: 国家自然科学基金(批准号: 11274148)资助的课题.
      Corresponding author: Tan Lei, tanlei@lzu.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11274148).
    [1]

    Raimond M J, Brune M, Haroche S 2001 Rev. Mod. Phys. 73 565

    [2]

    Mabuchi H, Doherty C A 2002 Science 298 1372

    [3]

    Wallraff A, Schuster I D, Blais A, Frunzio L, Huang S R, Majer J, Kumar S, Girvin M S, Schoelkopf J R 2004 Nature 431 162

    [4]

    Birnbaum M K, Boca A, Miller R, Boozer D A, Northup E T, Kimble J H 2005 Nature 436 87

    [5]

    Xia F, Sekaric L, Vlasov Y 2007 Nat. Photon. 1 65

    [6]

    Notomi M, Kuramochi E, Tanabe T 2008 Nat. Photon. 2 741

    [7]

    Hartmann J M, Brando L S G F, Plenio B M 2006 Nat. Phys. 2 849

    [8]

    Greentree D A, Tahan C, Cole H J, Hollenberg L C L 2006 Nat. Phys. 2 856

    [9]

    Angelakis G D, Santos F M, Bose S 2007 Phys. Rev. A 76 031805(R)

    [10]

    Hartmann J M, Brando L S G F, Plenio B M 2008 Laser Photon. Rev. 2 527

    [11]

    Yanik F M, Fan S 2004 Phys. Rev. Lett. 92 083901

    [12]

    Zhou L, Gong R Z, Liu X Y, Sun P C, Nori F 2008 Phys. Rev. Lett. 101 100501

    [13]

    Longo P, Schmitteckert P, Busch K 2010 Phys. Rev. Lett. 104 023602

    [14]

    Liew H C T, Savona V 2010 Phys. Rev. Lett. 104 183601

    [15]

    Ji A C, Sun Q, Xie X C, Liu W M 2009 Phys. Rev. Lett. 102 023602

    [16]

    Ji A C, Xie X C, Liu W M 2007 Phys. Rev. Lett. 99 183602

    [17]

    Diehl S, Micheli A, Kantian A, Kraus B, Bchler P H, Zoller P 2008 Nat. Phys. 4 878

    [18]

    Gerace D, Treci H E, Imamolu A, Giovannetti V, Fazio R 2009 Nat. Phys. 5 281

    [19]

    Karasik I R, Wiseman M H 2011 Phys. Rev. Lett. 106 020406

    [20]

    Hur K L 2008 Ann. Phys. 323 2208

    [21]

    Szymnska H M, Keeling J, Littlewood B P 2006 Phys. Rev. Lett. 96 230602

    [22]

    Dalidovich D, Kennett P M 2009 Phys. Rev. A 79 053611

    [23]

    Carusotto I, Gerace D, Tureci H E, DeLiberato S, Ciuti C, Imamolu A 2009 Phys. Rev. Lett. 103 033601

    [24]

    Diehl S, Tomadin A, Micheli A, Fazio R, Zoller P 2010 Phys. Rev. Lett. 105 015702

    [25]

    Schmidt S, Gerace D, Houck A A, Blatter G, Treci H E 2010 Phys. Rev. B 82 100507

    [26]

    Tomadin A, Giovannetti V, Fazio R, Gerace D, Carusotto I, Treci H E, Imamolu A 2010 Phys. Rev. A 81 061801(R)

    [27]

    Hartmann J M 2010 Phys. Rev. Lett. 104 113601

    [28]

    Morrison S, Parkins S A 2008 Phys. Rev. Lett. 100 040403

    [29]

    Kiffner M, Hartmann J M 2010 Phys. Rev. A 81 021806(R)

    [30]

    Ferretti S, Andreani C L, Treci H E, Gerace D 2010 Phys. Rev. A 82 013841

    [31]

    Han J Y, Chan H Y, Yi W, Daley J A, Diehl S, Zoller P, Duan M L 2009 Phys. Rev. Lett. 103 070404

    [32]

    Knap M, Arrigoni E, von der Linden W, Cole H J 2011 Phys. Rev. A 83 023821

    [33]

    Liu K, Tan L, L C H, Liu W M 2011 Phys. Rev. A 83 063840

    [34]

    Bao J, Tan L 2014 Acta Phys. Sin. 63 084201 (in Chinese) [鲍佳, 谭磊 2014 物理学报 63 084201]

    [35]

    Del E V, Hartmann M J 2013 J. Phys. B: At. Mol. Opt. Phys. 46 224023

    [36]

    Creatore C, Fazio R, Keeling J, Treci H E 2014 Proc. R. Soc. A 470 20140328

    [37]

    Hai L, Tan L, Feng J S, Xu W B, Wang B 2014 Chin. Phys. B 23 024202

    [38]

    Yang X, Tong Z Y, Kuang L M 2007 Acta Phys. Sin. 57 1689 (in Chinese) [杨雄, 童朝阳, 匡乐满 2007 物理学报 57 1689]

    [39]

    Dong Y L, Zhu S Q, You W L 2012 Phys. Rev. A 85 023833

    [40]

    Benjamn V C, Andreas K, Juan J G R 2013 J. Phys. B: At. Mol. Opt. Phys. 46 224024

    [41]

    Zhang H, Zhang S A, Wang Z G, Sun Z R 2010 Chin. Phys. B 19 113208

    [42]

    Ren X Z, Cong H L, Liao X, Li L 2012 Chin. Phys. B 21 054210

    [43]

    Tang S Q, Yuan J B, Wang X W, Kuang L M 2015 Chin. Phys. Lett. 32 040303

    [44]

    Lambropoulos P, Petrosyan D 2007 Fundamentals of Quantum Optics and Quantum Information (Berlin: Springer-Verlag) pp1-197

    [45]

    Sheshadri K, Krishnamurthy R H, Pandit R, Ramakrishnan V T 1993 Europhys. Lett. 22 257

    [46]

    Christian N 2010 Ph. D. Dissertation (Berlin: Freie Universitt Berlin)

    [47]

    Scala M, Militello B, Messina A, Piilo J, Maniscalco S 2007 Phys. Rev. A 75 013811

    [48]

    Schtzhold R, Uhlmann M, Xu Y, Fischer R U 2006 Phys. Rev. Lett. 97 200601

  • [1]

    Raimond M J, Brune M, Haroche S 2001 Rev. Mod. Phys. 73 565

    [2]

    Mabuchi H, Doherty C A 2002 Science 298 1372

    [3]

    Wallraff A, Schuster I D, Blais A, Frunzio L, Huang S R, Majer J, Kumar S, Girvin M S, Schoelkopf J R 2004 Nature 431 162

    [4]

    Birnbaum M K, Boca A, Miller R, Boozer D A, Northup E T, Kimble J H 2005 Nature 436 87

    [5]

    Xia F, Sekaric L, Vlasov Y 2007 Nat. Photon. 1 65

    [6]

    Notomi M, Kuramochi E, Tanabe T 2008 Nat. Photon. 2 741

    [7]

    Hartmann J M, Brando L S G F, Plenio B M 2006 Nat. Phys. 2 849

    [8]

    Greentree D A, Tahan C, Cole H J, Hollenberg L C L 2006 Nat. Phys. 2 856

    [9]

    Angelakis G D, Santos F M, Bose S 2007 Phys. Rev. A 76 031805(R)

    [10]

    Hartmann J M, Brando L S G F, Plenio B M 2008 Laser Photon. Rev. 2 527

    [11]

    Yanik F M, Fan S 2004 Phys. Rev. Lett. 92 083901

    [12]

    Zhou L, Gong R Z, Liu X Y, Sun P C, Nori F 2008 Phys. Rev. Lett. 101 100501

    [13]

    Longo P, Schmitteckert P, Busch K 2010 Phys. Rev. Lett. 104 023602

    [14]

    Liew H C T, Savona V 2010 Phys. Rev. Lett. 104 183601

    [15]

    Ji A C, Sun Q, Xie X C, Liu W M 2009 Phys. Rev. Lett. 102 023602

    [16]

    Ji A C, Xie X C, Liu W M 2007 Phys. Rev. Lett. 99 183602

    [17]

    Diehl S, Micheli A, Kantian A, Kraus B, Bchler P H, Zoller P 2008 Nat. Phys. 4 878

    [18]

    Gerace D, Treci H E, Imamolu A, Giovannetti V, Fazio R 2009 Nat. Phys. 5 281

    [19]

    Karasik I R, Wiseman M H 2011 Phys. Rev. Lett. 106 020406

    [20]

    Hur K L 2008 Ann. Phys. 323 2208

    [21]

    Szymnska H M, Keeling J, Littlewood B P 2006 Phys. Rev. Lett. 96 230602

    [22]

    Dalidovich D, Kennett P M 2009 Phys. Rev. A 79 053611

    [23]

    Carusotto I, Gerace D, Tureci H E, DeLiberato S, Ciuti C, Imamolu A 2009 Phys. Rev. Lett. 103 033601

    [24]

    Diehl S, Tomadin A, Micheli A, Fazio R, Zoller P 2010 Phys. Rev. Lett. 105 015702

    [25]

    Schmidt S, Gerace D, Houck A A, Blatter G, Treci H E 2010 Phys. Rev. B 82 100507

    [26]

    Tomadin A, Giovannetti V, Fazio R, Gerace D, Carusotto I, Treci H E, Imamolu A 2010 Phys. Rev. A 81 061801(R)

    [27]

    Hartmann J M 2010 Phys. Rev. Lett. 104 113601

    [28]

    Morrison S, Parkins S A 2008 Phys. Rev. Lett. 100 040403

    [29]

    Kiffner M, Hartmann J M 2010 Phys. Rev. A 81 021806(R)

    [30]

    Ferretti S, Andreani C L, Treci H E, Gerace D 2010 Phys. Rev. A 82 013841

    [31]

    Han J Y, Chan H Y, Yi W, Daley J A, Diehl S, Zoller P, Duan M L 2009 Phys. Rev. Lett. 103 070404

    [32]

    Knap M, Arrigoni E, von der Linden W, Cole H J 2011 Phys. Rev. A 83 023821

    [33]

    Liu K, Tan L, L C H, Liu W M 2011 Phys. Rev. A 83 063840

    [34]

    Bao J, Tan L 2014 Acta Phys. Sin. 63 084201 (in Chinese) [鲍佳, 谭磊 2014 物理学报 63 084201]

    [35]

    Del E V, Hartmann M J 2013 J. Phys. B: At. Mol. Opt. Phys. 46 224023

    [36]

    Creatore C, Fazio R, Keeling J, Treci H E 2014 Proc. R. Soc. A 470 20140328

    [37]

    Hai L, Tan L, Feng J S, Xu W B, Wang B 2014 Chin. Phys. B 23 024202

    [38]

    Yang X, Tong Z Y, Kuang L M 2007 Acta Phys. Sin. 57 1689 (in Chinese) [杨雄, 童朝阳, 匡乐满 2007 物理学报 57 1689]

    [39]

    Dong Y L, Zhu S Q, You W L 2012 Phys. Rev. A 85 023833

    [40]

    Benjamn V C, Andreas K, Juan J G R 2013 J. Phys. B: At. Mol. Opt. Phys. 46 224024

    [41]

    Zhang H, Zhang S A, Wang Z G, Sun Z R 2010 Chin. Phys. B 19 113208

    [42]

    Ren X Z, Cong H L, Liao X, Li L 2012 Chin. Phys. B 21 054210

    [43]

    Tang S Q, Yuan J B, Wang X W, Kuang L M 2015 Chin. Phys. Lett. 32 040303

    [44]

    Lambropoulos P, Petrosyan D 2007 Fundamentals of Quantum Optics and Quantum Information (Berlin: Springer-Verlag) pp1-197

    [45]

    Sheshadri K, Krishnamurthy R H, Pandit R, Ramakrishnan V T 1993 Europhys. Lett. 22 257

    [46]

    Christian N 2010 Ph. D. Dissertation (Berlin: Freie Universitt Berlin)

    [47]

    Scala M, Militello B, Messina A, Piilo J, Maniscalco S 2007 Phys. Rev. A 75 013811

    [48]

    Schtzhold R, Uhlmann M, Xu Y, Fischer R U 2006 Phys. Rev. Lett. 97 200601

  • [1] 朱明杰, 赵微, 王治海. 巨腔系统中的光子屏蔽. 物理学报, 2023, 72(9): 094202. doi: 10.7498/aps.72.20230049
    [2] 徐志浩, 皇甫宏丽, 张云波. 一维准周期晶格中玻色子对的迁移率边. 物理学报, 2019, 68(8): 087201. doi: 10.7498/aps.68.20182218
    [3] 方杰, 韩冬梅, 刘辉, 刘昊迪, 郑泰玉. 非线性两模玻色子系统的Majorana表象. 物理学报, 2017, 66(16): 160302. doi: 10.7498/aps.66.160302
    [4] 海莲, 张莎, 李维银, 谭磊. 耦合腔阵列与-型三能级原子非局域耦合系统中单光子的传输特性研究. 物理学报, 2017, 66(15): 154203. doi: 10.7498/aps.66.154203
    [5] 石永强, 孔维龙, 吴仁存, 张文轩, 谭磊. 耗散耦合腔阵列耦合量子化腔场驱动三能级体系中的单光子输运. 物理学报, 2017, 66(5): 054204. doi: 10.7498/aps.66.054204
    [6] 田晓, 王叶兵, 卢本全, 刘辉, 徐琴芳, 任洁, 尹默娟, 孔德欢, 常宏, 张首刚. 锶玻色子的“魔术”波长光晶格装载实验研究. 物理学报, 2015, 64(13): 130601. doi: 10.7498/aps.64.130601
    [7] 孙健, 刘洋, 宋筠. 洪德耦合的调控与轨道选择Mott相变. 物理学报, 2015, 64(24): 247101. doi: 10.7498/aps.64.247101
    [8] 鲍佳, 谭磊. 失谐对耗散耦合腔阵列体系超流-绝缘相变的影响. 物理学报, 2014, 63(8): 084201. doi: 10.7498/aps.63.084201
    [9] 全亚民, 刘大勇, 邹良剑. 多轨道Hubbard模型的隶玻色子数值算法研究. 物理学报, 2012, 61(1): 017106. doi: 10.7498/aps.61.017106
    [10] 韩金钟, 秦臻, 王学雷. ILC上Z玻色子与荷电top-pion对联合产生过程的研究. 物理学报, 2012, 61(4): 041201. doi: 10.7498/aps.61.041201
    [11] 王凯, 龙华, 付明, 张莉超, 杨光, 陆培祥. Au纳米颗粒阵列中双光子吸收的饱和过程. 物理学报, 2011, 60(3): 034209. doi: 10.7498/aps.60.034209
    [12] 李征鸿, 于明章, 羊亚平. 变频率光场与二能级原子的相互作用:双光子过程. 物理学报, 2008, 57(3): 1693-1698. doi: 10.7498/aps.57.1693
    [13] 杜晓宇, 郑婉华, 任 刚, 王 科, 邢名欣, 陈良惠. 二维光子晶体耦合腔阵列的慢波效应研究. 物理学报, 2008, 57(1): 571-575. doi: 10.7498/aps.57.571
    [14] 刘小娟, 周并举, 方卯发, 周清平. 双光子过程中任意初态原子的信息熵压缩. 物理学报, 2006, 55(2): 704-711. doi: 10.7498/aps.55.704
    [15] 刘文森, 马桂荣, 张九安, 梁九卿. 量子玻色流体中的压缩玻色子对数态. 物理学报, 1997, 46(9): 1699-1709. doi: 10.7498/aps.46.1699
    [16] 任中洲, 徐躬耦. Dyson玻色子表示中解的讨论. 物理学报, 1989, 38(10): 1673-1678. doi: 10.7498/aps.38.1673
    [17] 杨国琛, 罗辽复, 陆埮. 中间玻色子理论Ⅰ.基本假设和对称性. 物理学报, 1966, 22(9): 1027-1031. doi: 10.7498/aps.22.1027
    [18] 朱熙文, 何香生, 曾锡之. 高能νN“弹性”反应的中间玻色子效应. 物理学报, 1966, 22(8): 945-951. doi: 10.7498/aps.22.945
    [19] 杨国琛, 陆埮, 罗辽复. 中间玻色子理论Ⅱ.超子的非轻子衰变. 物理学报, 1966, 22(9): 1032-1037. doi: 10.7498/aps.22.1032
    [20] 杨国桢, 关洪. 关于弱作用的中间玻色子理论. 物理学报, 1964, 20(9): 928-930. doi: 10.7498/aps.20.928
计量
  • 文章访问数:  4776
  • PDF下载量:  227
  • 被引次数: 0
出版历程
  • 收稿日期:  2015-09-07
  • 修回日期:  2015-10-19
  • 刊出日期:  2016-02-05

/

返回文章
返回