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

石永强; 孔维龙; 吴仁存; 张文轩; 谭磊

doi:10.7498/aps.66.054204

摘要

基于准玻色方法，解析求解了环境作用下一维耦合腔阵列耦合一个量子化腔场驱动的级联型三能级原子系统中单光子输运的反射率、透射率和相应等效势的表达式，并详细讨论了耗散情况下控制参数对单光子输运的影响.研究结果表明：在实验范围内选择合适的参数时，原子耗散和腔场耗散都能使反射率峰值降低，但原子耗散影响反射率较大，同等参数取值条件下反射率峰值减小更为显著；更为重要的是对于在环境作用下的体系，通过调节原子和腔场之间的失谐以及驱动量子化腔场的光子数仍可使单光子接近达到全反射.

关键词:

Abstract

In this paper, a new kind of quasi-boson method is used to eliminate the coordinates of the environment and redescribe the dissipative system by using an effective Hamiltonian; the localized mode and the interaction between cavities can be renormalized. Based on the quasi-boson approach, the single photon transport in one-dimensional coupled cavity array, with a driven cascade-type three-level atom embedded in one of the cavity, is investigated under the influence of the environment. The single-photon transmission and the reflection amplitudes are obtained analytically. And the additional effective potential induced by the interaction between the atom and the cavity is also derived. The effects of the controlling parameters on the reflection and transmission amplitudes are discussed with considering the dissipation. It is shown that the decay rates of the atoms and the cavity both reduce the reflection spectrum. But the dissipation of the atom has a significant influence on the reflection amplitude compared with the cavity decay under the same conditions. Due to the irreversible loss of energy, the photon number is non-conservative. Furthermore, the single-photon can be almost reflected by the three-level atom in the dissipative case when one adjusts the detuning and photon number of the quantized cavity field. The investigation will be of benefit to the realization of photon transport in a real experiment, which is also helpful for manipulating the photons in quantum information and quantum simulation.

Keywords:

作者及机构信息

1.
兰州大学理论物理研究所, 兰州 730000

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.

Authors and contacts

1.
Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China

Corresponding author: Tan Lei, tanlei@lzu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11274148).

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施引文献

[1]	Raimond J M, Brune M, Haroche S 2001Rev.Mod.Phys. 73 565
[2]	Mabuchi H, Doherty A C 2002Science 298 1372
[3]	Wallraff A, Schuster D I, Blais A, Frunzio L, Huang R S, Majer J, Kumar S, Girvin S M, Schoelkopf R J 2004Nature 431 162
[4]	Birnbaum K M, Boca A, Miller R, Boozer A D, Northup T E, Kimble H J 2005Nature 436 87
[5]	Xia F, Sekaric L, Vlasov Y 2007Nat.Photonics 1 65
[6]	Notomi M, Kuramochi E, Tanabe T 2008Nat.Photonics 2 741
[7]	Hartmann M J, Brandao F G S L, Plenio M B 2008Laser Photonics Rev. 2 527
[8]	Rosenblit M, Horak P, Helsby S, Folman R 2004Phys.Rev.A 70 053808
[9]	Bermel P, Rodriguez A, Johnson S G, Joannopoulos J D, Soljacic M 2006Phys.Rev.A 74 043818
[10]	Romero G, Garca-Ripoll J J, Solano E 2009Phys.Rev.Lett. 102 173602
[11]	Aoki T, Dayan B, Wilcut E, Bowen W P, Parkins A S, Kippenberg T J, Vahala K J, Kimble H J 2006Nature 443 671
[12]	Srinivasan K, Painter O 2007Nature 450 862
[13]	Rakher M T, Ma L, Slattery O, Tang X, Srinivasan K 2010Nat.Photonics 4 786
[14]	Zhou L, Gong Z R, Liu Y X, Sun C P, Nori F 2008Phys.Rev.Lett. 101 100501
[15]	Gong Z R, Lan H, Zhou L, Sun C P 2008Phys.Rev.A 78 053806
[16]	Zhou L, Yang L P, Li Y, Sun C P 2013Phys.Rev.Lett. 111 103604
[17]	Lu J, Zhou L, Kuang L M, Nori F 2014Phys.Rev.A 89 013805
[18]	Yan W B, Fan H 2014Phys.Rev.A 90 053807
[19]	Diehl S, Micheli A, Kantian A, Kraus B, Bchler P H, Zoller P 2008Nat.Phys. 4 878
[20]	Gerace D, Treci H E, Imamolu A, Giovannetti V, Fazio R 2009Nat.Phys. 5 281
[21]	Karasik I R, Wiseman M H 2011Phys.Rev.Lett. 106 020406
[22]	Hur K L 2008Ann.Phys. 323 2208
[23]	Szymaska H M, Keeling J, Littlewood B P 2006Phys.Rev.Lett. 96 230602
[24]	Dalidovich D, Kennett P M 2009Phys.Rev.A 79 053611
[25]	Carusotto I, Gerace D, Tureci H E, DeLiberato S, Ciuti C, Imamolu A 2009Phys.Rev.Lett. 103 033601
[26]	Diehl S, Tomadin A, Micheli A, Fazio R, Zoller P 2010Phys.Rev.Lett. 105 015702
[27]	Schmidt S, Gerace D, Houck A A, Blatter G, Treci H E 2010Phys.Rev.B 82 100507
[28]	Tomadin A, Giovannetti V, Fazio R, Gerace D, Carusotto I, Treci H E, Imamolu A 2010Phys.Rev.A 81 061801
[29]	Hartmann J M 2010Phys.Rev.Lett. 104 113601
[30]	Morrison S, Parkins S A 2008Phys.Rev.Lett. 100 040403
[31]	Kiffner M, Hartmann J M 2010Phys.Rev.A 81 021806
[32]	Ferretti S, Andreani C L, Treci H E, Gerace D 2010Phys.Rev.A 82 013841
[33]	Han J Y, Chan H Y, Yi W, Daley J A, Diehl S, Zoller P, Duan M L 2009Phys.Rev.Lett. 103 070404
[34]	Knap M, Arrigoni E, Linden W, Cole H J 2011Phys.Rev.A 83 023821
[35]	Liu K, Tan L, Lv C H, Liu W M 2011Phys.Rev.A 83 063840
[36]	Tan L, Hai L 2012J.Phys.B:At.Mol.Opt.Phys. 45 035504
[37]	Hai L, Tan L, Feng J S, Bao J, Lv C H, Wang B 2013Eur.Phys.J.D 67 173
[38]	Cheng M T, Ma X S, Ding M T, Luo Y Q, Zhao G X 2012Phys.Rev.A 85 053840
[39]	Flgge S 1999Practical Quantum Mechanics(Berlin:Springer-Verlag) pp64-68
[40]	Sachiko K, Masashi B, Fumiaki S 2013J.Phys.B:At.Mol.Opt.Phys. 46 224004
[41]	Sandberg M, Wilson C M, Persson F, Bauch T, Johansson G, Shumeiko V, Duty T, Delsing P 2008Appl.Phys.Lett. 92 203501
[42]	Majumdar A, Rundquist A, Bajcsy M, Vuckovic J 2012Phys.Rev.B 86 045315
[43]	Liao J Q, Huang J F, Liu Y X, Kuang L M, Sun C P 2009Phys.Rev.A 80 014301
[44]	Houck A A, Schuster D I, Gambetta J M, Schreier J A, Johnson B R, Chow J M, Schoelkopf R J 2007Nature 449 328
[45]	Kuramochi E, Notomi M, Mitsugi S, Shinya A, Tanabe T, Watanabe T 2006Appl.Phys.Lett. 88 041112
[46]	Noda S, Fujita M, Asano T 2007Nat.Photonics 1 449

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