Dark states and Aharonov–Bohm oscillations in multi-quantum-dot systems

doi:10.1088/1674-1056/20/2/020303

中国物理B ›› 2011, Vol. 20 ›› Issue (2): 20303-020303.doi: 10.1088/1674-1056/20/2/020303

Dark states and Aharonov–Bohm oscillations in multi-quantum-dot systems

王琼, 刘军, 唐宁, 曾浩生

Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Department of Physics, Hunan Normal University, Changsha 410081, China

收稿日期:2010-06-12 修回日期:2010-10-08 出版日期:2011-02-15 发布日期:2011-02-15
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2007CB925204), the National Natural Science Foundation of China (Grant No. 10775048), the Key Project of the Chinese Ministry of Education (Grant No. 206103), and the Construct Program of the National Key Discipline.

Dark states and Aharonov–Bohm oscillations in multi-quantum-dot systems

Wang Qiong(王琼), Liu Jun(刘军), Tang Ning(唐宁) and Zeng Hao-Sheng(曾浩生)^†

Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Department of Physics, Hunan Normal University, Changsha 410081, China

Received:2010-06-12 Revised:2010-10-08 Online:2011-02-15 Published:2011-02-15
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2007CB925204), the National Natural Science Foundation of China (Grant No. 10775048), the Key Project of the Chinese Ministry of Education (Grant No. 206103), and the Construct Program of the National Key Discipline.

摘要/Abstract

摘要： We study the formation of dark states and the Aharonov--Bohm effect in symmetrically/asymmetrically coupled three- and four-quantum-dot systems. It is found that without a transverse magnetic field, destructive interference can trap an electron in a dark state. However, the introduction of a transverse magnetic field can disrupt the dark state, giving rise to oscillation in current. For symmetrically structured quantum-dot systems, the oscillation has a period of one flux quanta. But for asymmetrically structured dot systems, the period of oscillation is halved. In addition, the dephasing due to charge noise also blocks the formation of dark states, while it does not change the period of oscillation.

Abstract: We study the formation of dark states and the Aharonov–Bohm effect in symmetrically/asymmetrically coupled three- and four-quantum-dot systems. It is found that without a transverse magnetic field, destructive interference can trap an electron in a dark state. However, the introduction of a transverse magnetic field can disrupt the dark state, giving rise to oscillation in current. For symmetrically structured quantum-dot systems, the oscillation has a period of one flux quanta. But for asymmetrically structured dot systems, the period of oscillation is halved. In addition, the dephasing due to charge noise also blocks the formation of dark states, while it does not change the period of oscillation.

Key words: quantum dot, dark state, Aharonov–Bohm effect

中图分类号: (Foundations of quantum mechanics; measurement theory)

03.65.Ta

73.23.Hk (Coulomb blockade; single-electron tunneling) 73.63.Kv (Quantum dots) 85.35.Ds (Quantum interference devices)

王琼, 刘军, 唐宁, 曾浩生. Dark states and Aharonov–Bohm oscillations in multi-quantum-dot systems[J]. 中国物理B, 2011, 20(2): 20303-020303.

Wang Qiong(王琼), Liu Jun(刘军), Tang Ning(唐宁) and Zeng Hao-Sheng(曾浩生). Dark states and Aharonov–Bohm oscillations in multi-quantum-dot systems[J]. Chin. Phys. B, 2011, 20(2): 20303-020303.

参考文献 27

[1]	Arimondo E 1996 Prog. Opt. 35 257
[2]	Harris S E 1997 Phys. Today 50 36
[3]	Marangos J P 1998 J. Mod. Opt. 45 471
[4]	Lukin M D and Immamoglu A 2001 Nature 413 273
[5]	Jia W Z and Wang S J 2009 Chin. Phys. B 18 2282
[6]	Scully M O and Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press)
[7]	Bergmann K, Theuer H and Shore B W 1998 Rev. Mod. Phys. 70 1003
[8]	Lukin M D, Yelin S F, Fleischhauer M and Scully M O 1999 Phys. Rev. A 60 3225
[9]	Fleischhauer M and Lukin M D 2000 Phys. Rev. Lett. 84 5094
[10]	Fleischhauer M, Imamoglu A and Marangos J P 2005 Rev. Mod. Phys. 77 633
[11]	Meng S Y, Wu W, Liu B, Ye D F and Fu L B 2009 Chin. Phys. B 18 3844
[12]	Harris S E 1989 Phys. Rev. Lett. 62 1033
[13]	Scully M O, Zhu S Y and Gavrielides A 1989 Phys. Rev. Lett. 62 2813
[14]	Zibrov A S, Lukin M D, Nikonov D E, Hollberg L, Scully M O, Velichansky V L and Robinson H G 1995 Phys. Rev. Lett. 75 1499
[15]	Hau L, Harris S, Dutton Z and Behroozi C 1999 Nature 397 594
[16]	Budker D, Kimball D F, Rochester S M and Yashchuk V V 1999 Phys. Rev. Lett. 83 1767
[17]	Liu C, Dutton Z, Behroozi C H and Hau L V 2001 Nature 409 490
[18]	Phillips D F, Fleischhauer A, Mair A, Walsworth R L and Lukin M D 2001 Phys. Rev. Lett. 86 783
[19]	Aharonov Y and Bohm D 1959 Phys. Rev. 115 485
[20]	Pereyra P and Ulloa S E 2000 Phys. Rev. B 61 2128
[21]	Hu H, Zhu J L, Li D J and Xiong J J 2001 Phys. Rev. B 63 195307
[22]	Sun K W and Xiong S J 2004 Chin. Phys. 13 95
[23]	Zhou B, Wu S Q, Sun W L and Zhou X L 2004 Chin. Phys. 13 225
[24]	Bayer M, Korkusinski M, Hawrylak P, Gutbrod T, Michel M and Forchel A 2003 Phys. Rev. Lett. 90 186801
[25]	Ribeiro E, Govorov A O, Carvalho W and Medeiros Ribeiro G 2004 Phys. Rev. Lett. 92 126402
[26]	Yang S, Song Z and Sun C P 2006 Phys. Rev. A 73 022317
[27]	Emary C 2007 Phys. Rev. B 76 245319 endfootnotesize

Dark states and Aharonov–Bohm oscillations in multi-quantum-dot systems

Dark states and Aharonov–Bohm oscillations in multi-quantum-dot systems

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