收稿日期: 2019-09-09
网络出版日期: 2020-03-22
基金资助
上海市科委资助项目(18010500400);上海市科委资助项目(18ZR1415500);上海市高校特聘教授"东方学者"跟踪计划资助项目
Three-waveguide couplers designed by shortcut to adiabaticity
Received date: 2019-09-09
Online published: 2020-03-22
韩知勇, 施解龙, 兰自轩, 陈玺 . 量子绝热捷径技术在三波导耦合器设计中的应用[J]. 上海大学学报(自然科学版), 2020 , 26(1) : 69 -75 . DOI: 10.12066/j.issn.1007-2861.2192
A shortcut-to-adiabaticity protocol is proposed to design short light directional couplers by combining adiabatic elimination and counter-diabatic driving for three-level systems. For more practical implementations, we consider unitary transformation to design the waveguide width and adjacent waveguide pitch. In our example, a three-waveguide coupler is simulated by beam propagation method. Compared with adiabatic couplers, the designed coupler is shorter by four times. This approach is applicable to quantum information processing and integrated optics.
Key words： waveguide; coupler; adiabatic elimination; shortcut to adiabaticity
| [1] | Tseng S Y, Chne X . Engineering of fast mode conversion in multimode waveguides[J]. Optics Letters, 2012,37:5118-5120. |
| [2] | Martínez-Garaot S, Tseng S Y, Muga J G . Compact and high conversion efficiency mode sorting asymmetric Y-junction using shortcuts to adiabaticity[J]. Optics Letters, 2014,39:2306-2309. |
| [3] | Pan T H, Tseng S Y . Short and robust silicon mode (de)multiplexers using shortcuts to adiabaticity[J]. Optics Express, 2015,23:10405-10412. |
| [4] | Xu Q F, Schmidt B, Pradhan S , et al. Micrometre-scale silicon electro-optic modulator[J]. Nature, 2005,435:325-327. |
| [5] | Green W M J, Rooks M J, Sekaric L , et al. Ultra-compact, low RF power, 10 Gb/s silicon Mach-Zehnder modulator[J]. Optics Express, 2007,15(25):17106-17113. |
| [6] | Reed G T, Mashanovich G, Gardes F Y , et al. Silicon optical modulators[J]. Nature Photonics, 2010,4(1):518-526. |
| [7] | Fu J, Tang S F . Quantum computations with transverse modes of an optical field propagating in waveguides[J]. Chinese Physics Letters, 2003,20(9):1426-1429. |
| [8] | Politi A, Cryan M J, Rarity J G , et al. Silica-on-silicon waveguide quantum circuits[J]. Science, 2008,320(5876):646-649. |
| [9] | Nikolopoulos G M . Directional coupling for quantum computing and communication[J]. Physical Review Letters, 2008,101(20):200502. |
| [10] | Peruzzo A, Lobino M, Matthews J C F , et al. Quantum walks of correlated photons[J]. Science, 2010,329(5998):1500-1503. |
| [11] | Peruzzo A, Shadbolt P, Brunner N , et al. A quantum delayed-choice experiment[J]. Science, 2012,338(6107):634-637. |
| [12] | Sun X, Liu H C, Yariv A . Adiabaticity criterion and the shortest adiabatic mode transformer in a coupled-waveguide system[J]. Optics Letters, 2009,34(3):280-282. |
| [13] | Schneider V M, Hattori H T . High-tolerance power splitting in symmetric triple-mode evolution couplers[J]. IEEE Journal of Quantum Electronics, 2000,36(8):923-930. |
| [14] | Narevicius E, Narevich R, Berlatzky Y , et al. Adiabatic mode multiplexer for evanescent-coupling-insensitive optical switching[J]. Optics Letters, 2005,30(24):3362-3364. |
| [15] | Berry M V . Transitionless quantum driving[J]. Journal of Physics A: Mathematical and Theoretical, 2009,42(36):365303. |
| [16] | Chen X, Lizuain I, Ruschhaupt A , et al. Shortcut to adiabatic passage in two- and three-level atoms[J]. Physical Review Letters, 2010,105(12):123003. |
| [17] | Torrontegui E, Ibánez S, Martínez-Garaot S , et al. Shortcuts to adiabaticity[J]. Advances in Atomic, Molecular, and Optical Physics, 2013,62(1):117-169. |
| [18] | Mrejen M, Suchowski H, Hatakeyama T , et al. Adiabatic elimination-based coupling control in densely packed subwavelength waveguides[J]. Nature Communications, 2015,6(1):7565. |
| [19] | Mrejen M, Suchowski H, Hatakeyama T , et al. Experimental realization of two decoupled directional couplers in a subwavelength packing by adiabatic elimination[J]. Nano Letters, 2015,15(11):7383-7387. |
| [20] | Oukraou H, Coda V, Rangelov A A , et al. Broadband photonic transport between wave-guides by adiabatic elimination[J]. Physical Review A, 2018,97:023811. |
| [21] | Li Y C, Chen X . Shortcut to adiabatic population transfer in quantum three-level systems: effective two-level problems and feasible counterdiabatic driving[J]. Physical Review A, 2016,94(6):063411. |
| [22] | Du Y X, Liang Z T, Li Y C , et al. Experimental realization of stimulated Raman shortcut-to-adiabatic passage with cold atoms[J]. Nature Communications, 2016,7(1):12479. |
| [23] | Kawano K, Kitoh T . Introduction to optical waveguide analysis: solving Maxwell's equation and the Schr?dinger equation[M]. New York: John Wiley & Sons, 2004: 165-203. |
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