Direct observation of chaotic resonances in optical microcavities

Shuai Wang; Shuai Liu; Yilin Liu; Shumin Xiao; Zi Wang; Yubin Fan; Jiecai Han; Li Ge; Qinghai Song

doi:10.1038/s41377-021-00578-7

Go to Nature Website

Your Location：

Home >

Browse articles >

Direct observation of chaotic resonances in optical microcavities

Articles

- Direct observation of chaotic resonances in optical microcavities
- Direct observation of chaotic resonances in optical microcavities
- LSA 2021年10卷第8期页码：1455-1461
- Affiliations：
  
  1.Ministry of Industry and Information Technology Key Lab of Micro-Nano Optoelectronic Information System, Harbin Institute of Technology (Shenzhen), Shenzhen 518055, China
  2.National Key Laboratory of Science and Technology on Advanced Composites in Special Environments, Harbin Institute of Technology, Harbin 150080, China
  3.Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China
  4.Department of Physics and Astronomy, College of Staten Island, CUNY, Staten Island, NY 10314, USA
  5.The Graduate Center, CUNY, New York, NY 10016, USA
- Author bio：
  
  Shumin Xiao (shumin.xiao@hit.edu.cn)
  Li Ge (li.ge@csi.cuny.edu)
  Qinghai Song (qinghai.song@hit.edu.cn)
- Funds：
- DOI：10.1038/s41377-021-00578-7
  中图分类号：
- 纸质出版日期：2021-08-31，
  
  网络出版日期：2021-06-30，
  
  收稿日期：2021-04-15，
  
  修回日期：2021-06-15，
  
  录用日期：2021-06-17
- Accepted：
Scan QR Code
Direct observation of chaotic resonances in optical microcavities[J]. LSA, 2021,10(8):1455-1461.

Wang, S. et al. Direct observation of chaotic resonances in optical microcavities. Light: Science & Applications, 10, 1455-1461 (2021).
Direct observation of chaotic resonances in optical microcavities[J]. LSA, 2021,10(8):1455-1461. DOI： 10.1038/s41377-021-00578-7.

Wang, S. et al. Direct observation of chaotic resonances in optical microcavities. Light: Science & Applications, 10, 1455-1461 (2021). DOI： 10.1038/s41377-021-00578-7.

摘要

Abstract

Optical microcavities play a significant role in the study of classical and quantum chaos. To date

most experimental explorations of their internal wave dynamics have focused on the properties of their inputs and outputs

without directly interrogating the dynamics and the associated mode patterns inside. As a result

this key information is rarely retrieved with certainty

which significantly restricts the verification and understanding of the actual chaotic motion. Here we demonstrate a simple and robust approach to directly and rapidly map the internal mode patterns in chaotic microcavities. By introducing a local index perturbation through a pump laser

we report a spectral response of optical microcavities that is proportional to the internal field distribution. With this technique

chaotic modes with staggered mode spacings can be distinguished. Consequently

a complete chaos assisted tunneling (CAT) and its time-reversed process are experimentally verified in the optical domain with unprecedented certainty.

关键词

Keywords

references

Keshavamurthy, S.&Schlagheck, P. Dynamical Tunneling: Theory and Experiment. (Boca Raton: CRC Press, 2011).

Davis, M. J.&Heller, E. J. Quantum dynamical tunneling in bound states.J. Chem. Phys.75, 246-254 (1981)..

Cao, H.&Wiersig, J. Dielectric microcavities: model systems for wave chaos and non-hermitian physics.Rev. Mod. Phys.87, 61-111 (2015)..

Bohigas, O., Tomosovic, S.&Ullmo, D. Manifestations of classical phase space structures in quantum mechanics.Phys. Rep.223, 43-133 (1993)..

Chaudhury, S. et al. Quantum signatures of chaos in a kicked top.Nature461, 768-771 (2009)..

Steck, D. A., Oskay, W. H.&Raizen, M. G. Observation of chaos-assisted tunneling between islands of stability.Science293, 274-278 (2001)..

Nöckel, J. U.&Stone, A. D. Ray and wave chaos in asymmetric resonant optical cavities.Nature385, 45-47 (1997)..

Gmachl, C. et al. High-power directional emission from microlasers with chaotic resonators.Science280, 1556-1564 (1998)..

Dembowski, C. et al. First experimental evidence for chaos-assisted tunneling in a microwave annular billiard.Phys. Rev. Lett.84, 867-870 (2000)..

Podolskiy, V. A.&Narimanov, E. E. Semiclassical description of chaos-assisted tunneling.Phys. Rev. Lett.91, 263601 (2003)..

Podolskiy, V. A.&Narimanov, E. E. Chaos-assisted tunneling in dielectric microcavities.Opt. Lett.30, 474-476 (2005)..

Shinohara, S. et al. Chaos-assisted directional light emission from microcavity lasers.Phys. Rev. Lett.104, 163902 (2010)..

Kwak, H. et al. Nonlinear resonance-assisted tunneling induced by microcavity deformation.Sci. Rep.5, 9010 (2015)..

Gehler, S. et al. Experimental observation of resonance-assisted tunneling.Phys. Rev. Lett.115, 104101 (2015)..

Liu, S. et al. Transporting the optical chirality through the dynamical barriers in optical microcavities.Laser Photonics Rev.12, 1800027 (2018)..

Jiang, X. F. et al. Chaos-assisted broadband momentum transformation in optical microresonators.Science358, 344-347 (2017)..

Löck, S. et al. Regular-to-chaotic tunneling rates: from the quantum to the semiclassical regime.Phys. Rev. Lett.104, 114101 (2010)..

Song, Q. H. et al. Channeling chaotic rays into waveguides for efficient collection of microcavity emission.Phys. Rev. Lett.108, 243902 (2012)..

Kim, M. W. et al. Chaos-assisted tunneling in a deformed microcavity laser.Opt. Express21, 32508-32515 (2013)..

Preu, S. et al. Directional emission of dielectric disks with a finite scatterer in the THz regime.Opt. Express21, 16370-16380 (2013)..

Li, J. et al. Sideband spectroscopy and dispersion measurement in microcavities.Opt. Express20, 26337-26344 (2012)..

Lu, X. Y. et al. Universal frequency engineering tool for microcavity nonlinear optics: multiple selective mode splitting of whispering-gallery resonances.Photonics Res.8, 1676-1686 (2020)..

Yi, C. H., Kullig, J.&Wiersig, J. Pair of exceptional points in a microdisk cavity under an extremely weak deformation.Phys. Rev. Lett.120, 093902 (2018)..

Shim, J. B. et al. Uncertainty-limited turnstile transport in deformed microcavities.Phys. Rev. Lett.100, 174102 (2008)..

Ge, L. Quantum chaos in optical microcavities: a broadband application.EPL123, 64001 (2018)..

Chen, L. K. et al. Regular-orbit-engineered chaotic photon transport in mixed-phase space.Phys. Rev. Lett.123, 173903 (2019)..

Miao, P. et al. Orbital angular momentum microlaser.Science353, 464-467 (2016)..

Cognée, K. G. et al. Cooperative interactions between nano-antennas in a high-Q cavity for unidirectional light sources.Light. Sci. Appl.8, 115 (2019)..

Cao, Q. T., Chen, Y. L.&Xiao, Y. F. Chiral emission and Purcell enhancement in a hybrid plasmonic-photonic microresonator.Light. : Sci. Appl.9, 4 (2020)..

Chen, W. J. et al. Exceptional points enhance sensing in an optical microcavity.Nature548, 192-196 (2017)..

Jiang, X. F.&Yang, L. Optothermal dynamics in whispering-gallery microresonators.Light. Sci. Appl.9, 24 (2020)..

Huang, C. et al. Ultrafast control of vortex microlasers.Science367, 1018-1021 (2020)..

Breunig, I. et al. Whispering gallery modes at the rim of an axisymmetric optical resonator: analytical versus numerical description and comparison with experiment.Opt. Express21, 30683-30692 (2013)..

Schunk, G. et al. Identifying modes of large whispering-gallery mode resonators from the spectrum and emission pattern.Opt. Express22, 30795-30806 (2014)..

Gmachl, C. et al. Kolmogorov-Arnold-Moser transition and laser action on scar modes in semiconductor diode lasers with deformed resonators.Opt. Lett.27, 824-826 (2002)..

Fan, L. R. et al. Real-time observation and control of optical chaos.Sci. Adv.7, eabc8448 (2021)..

Schwefel, H. G. L. et al. Dramatic shape sensitivity of directional emission patterns from similarly deformed cylindrical polymer lasers.J. Optical Soc. Am. B21, 923-934 (2004)..

Wiersig, J.&Hentschel, M. Combining directional light output and ultralow loss in deformed microdisks.Phys. Rev. Lett.100, 033901 (2008)..

Sridhar, S., Hogenboom, D. O.&Willemsen, B. A. Microwave experiments on chaotic billiards.J. Stat. Phys.68, 239-258 (1992)..

Gokirmak, A. et al. Scanned perturbation technique for imaging electromagnetic standing wave patterns of microwave cavities.Rev. Sci. Instrum.69, 3410-3417 (1998)..

Almeida, V. R. et al. All-optical control of light on a silicon chip.Nature431, 1081-1084 (2004)..

Gensty, T. et al. Wave chaos in real-world vertical-cavity surface-emitting lasers.Phys. Rev. Lett.94, 233901 (2005)..

Aldaya, I. et al. Nonlinear carrier dynamics in silicon nano-waveguides.Optica4, 1219-1227 (2017)..

Ge, L. et al. Extreme output sensitivity to subwavelength boundary deformation in microcavities.Phys. Rev. A87, 023833 (2013)..

Ge, L.&Feng, L. Optical-reciprocity-induced symmetry in photonic heterostructures and its manifestation in scattering PT-symmetry breaking.Phys. Rev. A94, 043836 (2016)..

Haus, H. A. Waves and Fields in Optoelectronics. (Englewood: Prentice-Hall, 1984).

Landau, L. D.&Lifshitz, E. M. Electrodynamics of Continuous Media. (Oxford: Pergamon Press, 1960).

Qian, Y. J. et al. Observation of a manifold in the chaotic phase space of an asymmetric optical microcavity.Photonics Res.9, 364-369 (2021)..

Hoover, W. G. Time Reversibility, Computer Simulation, and Chaos. (Singapore: World Scientific, 1999).

Altmann, E. G., Portela, J. S. E.&Tél, T. Leaking chaotic systems.Rev. Mod. Phys.85, 869-918 (2013)..

Zhang, Z. F. et al. Tunable topological charge vortex microlaser.Science368, 760-763 (2020)..

Zhang, Z. F. et al. Elimination of spatial hole burning in microlasers for stability and efficiency enhancement.ACS Photonics5, 3016-3022 (2018)..

Wang, B. C. et al. Towards high-power, high-coherence, integrated photonic mmWave platform with microcavity solitons.Light Sci. Appl.10, 4 (2021)..

Chen, H. J. et al. Chaos-assisted two-octave-spanning microcombs.Nat. Commun.11, 2336 (2020)..

浏览量

Downloads

CSCD

文章被引用时，请邮件提醒。

Submit

工具集

关联资源

暂无数据