波导-双腔-量子点耦合系统透射谱的解析解研究

J4 ›› 2014, Vol. 31 ›› Issue (5): 615-621.

波导-双腔-量子点耦合系统透射谱的解析解研究

关欢¹,姚培军¹,明海²

中国科学技术大学光学与光学工程系光子实验室，安徽合肥 230026

收稿日期:2014-01-20 修回日期:2014-03-04 出版日期:2014-09-28 发布日期:2014-09-17
通讯作者: 姚培军（1978-）安徽人，副教授，主要从事光与物质相互作用研究。 E-mail:yap@ustc.edu.cn
基金资助:
国家自然科学基金（61036005）、国家重点基础研究发展规划项目（2012CB922003）资助项目

Analytic solutions of photon transmission in a two cavities-waveguide system

Guan Huan, Ming Hai， Yao Peijun

Institute of Photonics, Department of Optics and Optical Engineering, University of Science and Technology of China, Hefei 230026, China

Received:2014-01-20 Revised:2014-03-04 Published:2014-09-28 Online:2014-09-17

摘要/Abstract

摘要： 通过波导-双腔-量子点耦合系统的哈密顿量和系统算符的海森堡运动方程推导出系统的输入-输出关系。进一步地，我们利用格林函数理论，解析地定义了微腔和波导之间的耦合速率。并在此基础上求解系统算符的运动方程，推导出整个系统透射谱的解析形式。数值计算了整个系统透射谱与双腔之间的距离（其导致双腔与波导的耦合速率之间有一相位因子）和失谐因子之间的关系。研究发现透射谱紧密依赖于双腔距离和失谐因子。这种结构在量子信息、量子计算或光开关方面有着潜在的应用前景。

关键词: 量子光学；透射谱解析解；格林函数方法；波导-双腔-量子点系统

Abstract: Based on the system Hamiltonian and Heisenberg equation of motion for system operators, we derived the input-output relations of the optical modes. Moreover, using the Green function theory, the coupling rate between the cavity and waveguide is analytically defined. Based on the above, we derived the analytic solution of the transmission spectra. By numerical calculation, the transmission spectra of the whole system are investigated with varying optical length (which induces the phase separation between the two cavities) and detuning factor between the two cavities. The results reveal that the transmission spectra are closely dependent on the distance and detuning of the two cavities. This structure has potential applications in quantum information, quantum computation and optical switch.

Key words: Quantum Optics；Analytic transmission spectra; Green function theory; Waveguide-cavities-quantum dot system

关欢姚培军明海. 波导-双腔-量子点耦合系统透射谱的解析解研究[J]. J4, 2014, 31(5): 615-621.

Guan Huan, Ming Hai， Yao Peijun. Analytic solutions of photon transmission in a two cavities-waveguide system[J]. J4, 2014, 31(5): 615-621.

参考文献

[1]J-T. Shen and S. Fan.Theory of single-photon transport in a single-mode waveguide. II. Coupling to a whispering-gallery resonator containing a two-level atom [J]. Phys. Rev. A 79: 023838 [2] J.-T. Shen and S. Fan. Theory of single-photon transport in a single-mode waveguide. I. Coupling to a cavity containing a two-level atom [J]. Phys. Rev. A 79: 023837 [3] T. Shi, S. Fan, and C. Sun. Two-photon transport in a waveguide coupled to a cavity in a two-level system [J]. Phys. Rev. A 84: 063803 [4] T. Shi and S. Fan. Two-photon transport through a waveguide coupling to a whispering-gallery resonator containing an atom and photon-blockade effect [J]. Phys. Rev. A 87: 063818 [5] S. Hughes and H. Kamada. Single-quantum-dot strong coupling in a semiconductor photonic crystal nanocavity side coupled to a waveguide [J]. Phys. Rev. B 70: 195313 [6] S. Hughes. Coupled-cavity QED using planar photonic crystals [J]. Phys. Rev. Lett. 98: 083603 [7] P. Yao and S. Hughes. Macroscopic entanglement and violation of Bell’s inequalities between two spatially separated quantum dots in a planar photonic crystal system [J]. Optics express 17: 11505 [8] S. Hughes and C. Roy. Nonlinear photon transport in a semiconductor waveguide-cavity system containing a single quantum dot: Anharmonic cavity-QED regime [J]. Phys. Rev. B 85: 035315 [9] X. Zang and C. Jiang. Single-photon transport properties in a waveguide--cavity system [J]. Journal of Physics B: Atomic, Molecular and Optical Physics 43: 065505 [10] Walls, Daniel F and Milburn, Gerard J and Schleich, Wolfgang P. Quantum Optics (1995) [11] E. Waks and J. Vuckovic. Dipole induced transparency in drop-filter cavity-waveguide systems [J]. Phys. Rev. Lett. 96: 153601 [12] A. Cowan and J. F. Young. Optical bistability involving photonic crystal microcavities and Fano line shapes. Phys. Rev. E 68: 046606 [13] P. Yao, V. Manga Rao, and S. Hughes. On-chip single photon sources using planar photonic crystals and single quantum dots [J]. Laser & Photonics Reviews 4: 499--516