Dual effects of disorder on the strongly-coupled system composed of a single quantum dot and a photonic crystal L3 cavity
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摘要
Light-matter interaction in the strong coupling regime enables light control at the single-photon level. We develop numerical method and analytical expressions to calculate the decay kinetics of an initially excited two-level quantum emitter in dielectric nanostructure and single-mode cavity, respectively. We use these methods to discover the dual effects of disorder on the stronglycoupled system composed of a single quantum dot and a photonic crystal L3 cavity. The quality factor is sensitive to disorder,while the g factor and vacuum Rabi splitting are robust against disorder. A small amount of disorder may either decrease or increase the light localization and the light-matter interaction. Our methods offer flexible and efficient theoretical tools for the investigation of light-matter interaction, especially cavity quantum electrodynamics. Our findings significantly lower the requirements for optimization effort and fabrication precision and open up many promising practical possibilities.
Light-matter interaction in the strong coupling regime enables light control at the single-photon level. We develop numerical method and analytical expressions to calculate the decay kinetics of an initially excited two-level quantum emitter in dielectric nanostructure and single-mode cavity, respectively. We use these methods to discover the dual effects of disorder on the stronglycoupled system composed of a single quantum dot and a photonic crystal L3 cavity. The quality factor is sensitive to disorder,while the g factor and vacuum Rabi splitting are robust against disorder. A small amount of disorder may either decrease or increase the light localization and the light-matter interaction. Our methods offer flexible and efficient theoretical tools for the investigation of light-matter interaction, especially cavity quantum electrodynamics. Our findings significantly lower the requirements for optimization effort and fabrication precision and open up many promising practical possibilities.
Light-matter interaction in the strong coupling regime enables light control at the single-photon level. We develop numerical method and analytical expressions to calculate the decay kinetics of an initially excited two-level quantum emitter in dielectric nanostructure and single-mode cavity, respectively. We use these methods to discover the dual effects of disorder on the stronglycoupled system composed of a single quantum dot and a photonic crystal L3 cavity. The quality factor is sensitive to disorder,while the g factor and vacuum Rabi splitting are robust against disorder. A small amount of disorder may either decrease or increase the light localization and the light-matter interaction. Our methods offer flexible and efficient theoretical tools for the investigation of light-matter interaction, especially cavity quantum electrodynamics. Our findings significantly lower the requirements for optimization effort and fabrication precision and open up many promising practical possibilities.
引文
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75 N.Mann,A.Javadi,P.D.García,P.Lodahl,and S.Hughes,Phys.Rev.A 92,023849(2015),arXiv:1505.02836.
2 P.Lodahl,S.Mahmoodian,and S.Stobbe,Rev.Mod.Phys.87,347(2015),arXiv:1312.1079.
3 P.T?rm?,and W.L.Barnes,Rep.Prog.Phys.78,013901(2015),arXiv:1405.1661.
4 D.S.Dovzhenko,S.V.Ryabchuk,Y.P.Rakovich,and I.R.Nabiev,Nanoscale 10,3589(2018).
5 H.Walther,B.T.H.Varcoe,B.G.Englert,and T.Becker,Rep.Prog.Phys.69,1325(2006).
6 B.Lounis,and M.Orrit,Rep.Prog.Phys.68,1129(2005).
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8 H.J.Kimble,Nature 453,1023(2008),arXiv:0806.4195.
9 D.Sanvitto,and S.Kéna-Cohen,Nat.Mater.15,1061(2016).
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11 Y.Akahane,T.Asano,B.S.Song,and S.Noda,Nature 425,944(2003).
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26 D.Englund,B.Shields,K.Rivoire,F.Hatami,J.Vuckovic,H.Park,and M.D.Lukin,Nano Lett.10,3922(2010),arXiv:1005.2204.
27 A.Faraon,C.Santori,Z.Huang,V.M.Acosta,and R.G.Beausoleil,Phys.Rev.Lett.109,033604(2012),arXiv:1202.0806.
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29 S.Wu,S.Buckley,J.R.Schaibley,L.Feng,J.Yan,D.G.Mandrus,F.Hatami,W.Yao,J.Vu?kovi?,A.Majumdar,and X.Xu,Nature 520,69(2015).
30 A.Gopinath,E.Miyazono,A.Faraon,and P.W.K.Rothemund,Nature 535,401(2016).
31 F.Pyatkov,V.Fütterling,S.Khasminskaya,B.S.Flavel,F.Hennrich,M.M.Kappes,R.Krupke,and W.H.P.Pernice,Nat.Photon.10,420(2016).
32 M.S.Hwang,H.R.Kim,K.H.Kim,K.Y.Jeong,J.S.Park,J.H.Choi,J.H.Kang,J.M.Lee,W.I.Park,J.H.Song,M.K.Seo,and H.G.Park,Nano Lett.17,1892(2017).
33 Y.Ota,R.Moriya,N.Yabuki,M.Arai,M.Kakuda,S.Iwamoto,T.Machida,and Y.Arakawa,Appl.Phys.Lett.110,223105(2017).
34 A.E.Schlather,N.Large,A.S.Urban,P.Nordlander,and N.J.Halas,Nano Lett.13,3281(2013).
35 G.Zengin,M.Wers?ll,S.Nilsson,T.J.Antosiewicz,M.K?ll,and T.Shegai,Phys.Rev.Lett.114,157401(2015),arXiv:1501.02123.
36 X.Chen,Y.H.Chen,J.Qin,D.Zhao,B.Ding,R.J.Blaikie,and M.Qiu,Nano Lett.17,3246(2017),arXiv:1607.07620.
37 B.M.Garraway,Philos.Trans.R.Soc.A-Math.Phys.Eng.Sci.369,1137(2011).
38 W.J.Fan,Z.B.Hao,Z.Li,Y.S.Zhao,and Y.Luo,J.Lightw.Technol.28,1455(2010).
39 S.L.Portalupi,M.Galli,M.Belotti,L.C.Andreani,T.F.Krauss,and L.O’Faolain,Phys.Rev.B 84,045423(2011).
40 M.Minkov,U.P.Dharanipathy,R.Houdré,and V.Savona,Opt.Express 21,28233(2013).
41 H.Hagino,Y.Takahashi,Y.Tanaka,T.Asano,and S.Noda,Phys.Rev.B 79,085112(2009).
42 T.Asano,B.S.Song,and S.Noda,Opt.Express 14,1996(2006).
43 Y.Taguchi,Y.Takahashi,Y.Sato,T.Asano,and S.Noda,Opt.Express 19,11916(2011).
44 R.Benevides,F.G.S.Santos,G.O.Luiz,G.S.Wiederhecker,and T.P.M.Alegre,Sci.Rep.7,2491(2017),arXiv:1701.03410.
45 Y.Akahane,T.Asano,B.S.Song,and S.Noda,Opt.Express 13,1202(2005).
46 Y.Takahashi,H.Hagino,Y.Tanaka,B.S.Song,T.Asano,and S.Noda,Opt.Express 15,17206(2007).
47 Y.Tanaka,T.Asano,and S.Noda,J.Lightwave Technol.26,1532(2008).
48 Y.Takahashi,Y.Tanaka,H.Hagino,T.Sugiya,Y.Sato,T.Asano,and S.Noda,Opt.Express 17,18093(2009).
49 Y.Lai,S.Pirotta,G.Urbinati,D.Gerace,M.Minkov,V.Savona,A.Badolato,and M.Galli,Appl.Phys.Lett.104,241101(2014).
50 D.Wang,Z.Yu,Y.Liu,X.Guo,C.Shu,S.Zhou,and J.Zhang,J.Opt.15,125102(2013).
51 M.Minkov,and V.Savona,Sci.Rep.4,5124(2014).
52 P.W.Anderson,Phys.Rev.109,1492(1958).
53 J.Topolancik,B.Ilic,and F.Vollmer,Phys.Rev.Lett.99,253901(2007).
54 A.Lagendijk,B.van Tiggelen,and D.S.Wiersma,Phys.Today 62,24(2009).
55 D.S.Wiersma,Nat.Photon.7,188(2013).
56 P.D.García,G.Kir?ansk?,A.Javadi,S.Stobbe,and P.Lodahl,Phys.Rev.B 96,144201(2017),arXiv:1709.10310.
57 T.Crane,O.J.Trojak,J.P.Vasco,S.Hughes,and L.Sapienza,ACSPhoton.4,2274(2017).
58 L.Sapienza,H.Thyrrestrup,S.Stobbe,P.D.Garcia,S.Smolka,and P.Lodahl,Science 327,1352(2010),arXiv:1003.2525.
59 J.Liu,P.D.Garcia,S.Ek,N.Gregersen,T.Suhr,M.Schubert,J.M?rk,S.Stobbe,and P.Lodahl,Nat.Nanotech.9,285(2014).
60 P.D.García,and P.Lodahl,Annal.Phys.529,1600351(2017),arXiv:1611.02038.
61 H.Thyrrestrup,S.Smolka,L.Sapienza,and P.Lodahl,Phys.Rev.Lett.108,113901(2012),arXiv:1112.5674.
62 J.Gao,S.Combrie,B.Liang,P.Schmitteckert,G.Lehoucq,S.Xavier,X.A.Xu,K.Busch,D.L.Huffaker,A.De Rossi,and C.W.Wong,Sci.Rep.3,1994(2013),arXiv:1306.2042.
63 J.P.Vasco,and S.Hughes,Phys.Rev.B 95,224202(2017),arXiv:1701.09139.
64 J.P.Vasco,and S.Hughes,ACS Photon.5,1262(2018).
65 X.H.Wang,R.Wang,B.Y.Gu,and G.Z.Yang,Phys.Rev.Lett.88,093902(2002).
66 X.H.Wang,B.Y.Gu,R.Wang,and H.Q.Xu,Phys.Rev.Lett.91,113904(2003).
67 G.Chen,Y.C.Yu,X.L.Zhuo,Y.G.Huang,H.Jiang,J.F.Liu,C.J.Jin,and X.H.Wang,Phys.Rev.B 87,195138(2013).
68 E.M.Purcell,Phys.Rev.69,681(1946).
69 A.R.A.Chalcraft,S.Lam,D.O’Brien,T.F.Krauss,M.Sahin,D.Szymanski,D.Sanvitto,R.Oulton,M.S.Skolnick,A.M.Fox,D.M.Whittaker,H.Y.Liu,and M.Hopkinson,Appl.Phys.Lett.90,241117(2007).
70 A.Taflove,and S.Hagness,Computational Electrodynamics:The Finite-Difference Time-Domain Method(third edition)(Artech House,London,2005).
71 G.Chen,J.F.Liu,H.Jiang,X.L.Zhuo,Y.C.Yu,C.Jin,and X.H.Wang,Nanoscale Res.Lett.8,187(2013).
72 S.G.Johnson,M.Ibanescu,M.A.Skorobogatiy,O.Weisberg,J.D.Joannopoulos,and Y.Fink,Phys.Rev.E 65,066611(2002).
73 L.Ramunno,and S.Hughes,Phys.Rev.B 79,161303(2009).
74 A.Badolato,K.Hennessy,M.Atatüre,J.Dreiser,E.Hu,P.M.Petroff,and A.Imamoglu,Science 308,1158(2005).
75 N.Mann,A.Javadi,P.D.García,P.Lodahl,and S.Hughes,Phys.Rev.A 92,023849(2015),arXiv:1505.02836.