研究论文

非局域非线性介质中孤子的绝热捷径压缩

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  • 上海大学 理学院, 上海 200444
孔茜(1983-), 女, 讲师, 硕士生导师, 博士,研究方向为非线性光学. E-mail: kongqian@shu.edu.cn

收稿日期: 2021-05-09

  网络出版日期: 2021-09-10

基金资助

国家自然科学基金资助项目(12075145);上海市科委基金资助项目(2019SHZDZX01-ZX04);上海市科委基金资助项目(18010500400);上海市科委基金资助项目(18ZR1415500)

Soliton compression in nonlocal nonlinear media through shortcut to adiabaticity

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  • College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2021-05-09

  Online published: 2021-09-10

摘要

近年来, 量子绝热捷径(shortcut to adiabaticity, STA)技术被 用以加速缓慢的绝热过程. 基于光学类比方法, 采用结合变分法和绝热捷径技术的反控制方法研究非局域非线性介质中孤子的快速压缩, 并与绝热压缩技术进行了对比. 研究结果表明, 非局域对于非线性具有抑制作用, 非局域度越大, 绝热压缩技术需要的传播距离越长, 使得在非局域介质中用绝热方法压缩孤子变得比较困难, 而绝热捷径技术却依然可以在短距离内有效压缩孤子, 优势明显.

本文引用格式

张晓, 孔茜 . 非局域非线性介质中孤子的绝热捷径压缩[J]. 上海大学学报(自然科学版), 2022 , 28(6) : 1084 -1093 . DOI: 10.12066/j.issn.1007-2861.2325

Abstract

In recent years, shortcuts to adiabaticity (STA) had been proposed to accelerate slow adiabatic processes. In this study, based on the quantum-optical analogy, the rapid compression of solitons in nonlocal nonlinear media was investigated by combining the variational method and inverse engineering of STA technology. A comparison with the results of adiabatic compression showed that nonlocality had an inhibitory effect on nonlinearity. In addition, the greater the degree of nonlocality, the longer was the propagation distance required for adiabatic compression, thus making it more difficult to compress solitons in nonlocal media using adiabatic protocols. However, it was found that the STA protocol could still effectively compress solitons over a very short distance, thus showing the advantages of the STA protocol.

参考文献

[1] Tay K G, Ching A H K, Loi W S, et al. Optical soliton simulation in optical fibers by OptiSystem[J]. IOP Conference Series: Materials Science and Engineering, 2017, 226: 012131.
[2] Mamyshev P V, Chernikov S V, Dianov E M. Generation of fundamental soliton trains for high-bit-rate optical fiber communication lines[J]. IEEE Journal of Quantum Electronics, 2002, 27(10): 2347-2355.
[3] Chernikov S V, Dianov E M, Richardson D J, et al. Soliton pulse compression in dispersion-decreasing fiber[J]. Optics Letters, 1993, 18(7): 476.
[4] Travers J, Stone J M, Rulkov A, et al. Optical pulse compression in dispersion decreasing photonic crystal fiber[J]. Optics Express, 2007, 15(20): 13203-13211.
[5] Porsezian K, Muthiah D. Soliton pulse compression in nonuniform birefringent fibres[J]. Journal of Optics A Pure & Applied Optics, 2002, 4(2): 202.
[6] Kong Q, Ying H, Chen X. Shortcuts to adiabaticity for optical beam propagation in nonlinear gradient refractive-index media[J]. Entropy, 2020, 22(6): 673.
[7] Chen X, Ruschhaupt A, Schmidt S, et al. Fast optimal frictionless atom cooling in harmonic traps: shortcut to adiabaticity[J]. Physical Review Letters, 2010, 104(6): 063002.
[8] Jing J, Wu L A, Sarandy M S, et al. Inverse engineering control in open quantum systems[J]. Physical Review A, 2013, 88(5): 053422.
[9] Berry M V. Transitionless quantum driving[J]. Journal of Physics A: Mathematical and Theoretical, 2009, 42(36): 365303.
[10] Masuda S, Nakamura K. Fast-forward problem in quantum mechanics[J]. Physical Review A, 2008, 78(6): 062108.
[11] Ding Y, Huang T Y, Paul K, et al. Smooth bang-bang shortcuts to adiabaticity for atomic transport in a moving harmonic trap[J]. Physical Review A, 2020, 101(6): 063410.
[12] Torrontegui E, Chen X, Modugno M, et al. Fast transport of Bose-Einstein condensates[J]. New Journal of Physics, 2012, 14(1): 013031.
[13] Sarandy M S, Duzzioni E I, Serra R M. Quantum computation in continuous time using dynamic invariants[J]. Physics Letters A, 2011, 375(38): 3343-3347.
[14] Deffner S, Jarzynski C, Campo A D. Classical and quantum shortcuts to adiabaticity for scale-invariant driving[J]. Physical Review X, 2014, 4(2): 021013.
[15] Hartmann A, Mukherjee V, Niedenzu W, et al. Many-body quantum heat engines with shortcuts to adiabaticity[J]. Physical Review Research, 2020, 2(2): 023145.
[16] Danakas S, Aravind P K. Analogies between two optical systems (photon beam splitters and laser beams) and two quantum systems (the two-dimensional oscillator and the two-dimensional hydrogen atom)[J]. Physical Review A: Atomic Molecular & Optical Physics, 1992, 45(3): 1973.
[17] Sapienza R, Costantino P, Wiersma D, et al. Optical analogue of electronic bloch oscillations[J]. Physical Review Letters, 2003, 91(26): 263902.
[18] Longhi S. Optical realization of multilevel adiabatic population transfer in curved waveguide arrays[J]. Physics Letters A, 2006, 359(2): 166-170.
[19] Tseng S Y, Wu M C. Mode conversion/splitting by optical analogy of multistate stimulated raman adiabatic passage in multimode waveguides[J]. Journal of Lightwave Technology, 2010, 28(24): 3529-3534.
[20] Chen L, Qu K N, Shen H, et al. In-line polarization rotator based on the quantum-optical analogy[J]. Optics Letters, 2016, 41(9): 2113-2116.
[21] Chung H C, Martínez-Garaot S, Chen X, et al. Shortcuts to adiabaticity in optical waveguides[J]. Europhysics Letters, 2019, 127(3): 34001.
[22] Ho C P, Tseng S Y. Optimization of adiabaticity in coupled-waveguide devices using shortcuts to adiabaticity[J]. Optics Letters, 2015, 40(21): 4831-4834.
[23] Chen X, Wen R D, Tseng S Y. Analysis of optical directional couplers using shortcuts to adiabaticity[J]. Optics Express, 2016, 24(16): 18322.
[24] Tseng S Y, Wen R D, Chiu Y F, et al. Short and robust directional couplers designed by shortcuts to adiabaticity[J]. Optics Express, 2014, 22(16): 18849-18859.
[25] Tseng S Y. Counterdiabatic mode-evolution based coupled-waveguide devices[J]. Optics Express, 2013, 21(18): 21224-21235.
[26] 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(8): 2306-2309.
[27] Tseng S Y, Chen X. Engineering of fast mode conversion in multimode waveguides[J]. Optics Letters, 2012, 37(24): 5118-5120.
[28] Chen X, Wang H W, Ban Y, et al. Short-length and robust polarization rotators in periodically poled lithium niobate via shortcuts to adiabaticity[J]. Optics Express, 2014, 22(20): 24169-24178.
[29] Huang T Y, Malomed B A, Chen X. Shortcuts to adiabaticity for an interacting Bose-Einstein condensate via exact solutions of the generalized Ermakov equation[J]. Chaos, 2020, 30(5): 053131.
[30] Paul K, Sarma A K. Nonlinear compression of temporal solitons in an optical waveguide via inverse engineering[J]. Europhysics Letters, 2018, 121(6): 64001.
[31] Braun E, Faucheux L P, Libchaber A. Strong self-focusing in nematic liquid crystals[J]. Physical Review A, 1993, 48(1): 611-622.
[32] Segev M, Crosignani B, Yariv A, et al. Spatial solitons in photorefractive media[J]. Physical Review Letters, 1992, 68(7): 923-926.
[33] Gerton J, Hulet R G. Measurements of collective collapse in a Bose-Einstein condensate with attractive interactions[J]. Physical Review Letters, 1999, 82(5): 876.
[34] Guo Q, Luo B, Yi F H, et al. Large phase shift of nonlocal optical spatial solitons[J]. Physical Review E, 2004, 69(1): 016602.
[35] Królikowski W, Bang O. Solitons in nonlocal nonlinear media: exact results[J]. Physical Review E, 2001, 63(1): 016610.
[36] Kong Q, Wang Q, Bang O, et al. Analytical theory of dark nonlocal solitons[J]. Optics Letters, 2010, 35(13): 2152-2154.
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