Observation of parity-time symmetry in microwave photonics

Yanzhong Liu; Tengfei Hao; Wei Li; Jose Capmany; Ninghua Zhu; Ming Li

doi:10.1038/s41377-018-0035-8

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Observation of parity-time symmetry in microwave photonics

Original Articles

- Observation of parity-time symmetry in microwave photonics
- Light: Science & Applications Vol. 7, Issue 5, Pages: 379-387(2018)
- Affiliations：
  
  1.State Key Laboratory on Integrated Optoelectronics, Institute of Semiconductors, Chinese Academy of Sciences, Beijing, 100083, China
  2.School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing, 100049, China
  3.Photonics Research Labs, ITEAM Research Institute, Universitat Politecnica de Valencia, Camino de Vear s/n, 46022, Valencia, Spain
- Author bio：
  
  Ninghua Zhu (nhzhu@semi.ac.cn)
  Ming Li (ml@semi.ac.cn)
- Funds：
- DOI：10.1038/s41377-018-0035-8
  CLC：
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Liu, Y. Z. et al. Observation of parity-time symmetry in microwave photonics. Light: Science & Applications, 7, 379-387 (2018).
DOI：

Liu, Y. Z. et al. Observation of parity-time symmetry in microwave photonics. Light: Science & Applications, 7, 379-387 (2018). DOI： 10.1038/s41377-018-0035-8.

摘要

Abstract

Symmetry plays a crucial role in explorations of the laws of nature. Parity-time (PT) symmetry phenomena can lead to entirely real spectra in non-Hermitian systems, which attracts considerable attention in the fields of optics and electronics because these phenomena provide a new tool for the manipulation of oscillation modes and non-reciprocal signal transmission. A potential new field of application is microwave photonics, an interdisciplinary field in which the interaction between microwaves and optical signals is exploited. In this article, we report the experimental use of PT symmetry in an optoelectronic oscillator (OEO), a key microwave photonics system that can generate single-frequency sinusoidal signals with high spectral purity. PT symmetry is theoretically analyzed and experimentally observed in an OEO with two mutually coupled active oscillation cavities via a precise manipulation of the interplay between gain and loss in the two oscillation cavities. Stable single-frequency microwave oscillation is achieved without using any optical/electrical filters for oscillation mode selection, which is an indispensable requirement in traditional OEOs. This observation opens new avenues for signal generation and processing based on the PT symmetry principle in microwave photonics.

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references

Bender, C. M. & Boettcher, S. Real spectra in non-hermitian hamiltonians having PT symmetry. Phys. Rev. Lett. 80, 5243–5246 (1998).

Hatano, N. & Nelson, D. R. Localization transitions in non-hermitian quantum mechanics. Phys. Rev. Lett. 77, 570–573 (1996).

Berry, M. V. Optical lattices with PT symmetry are not transparent.J. Phys. A: Math. Theor. 41, 244007 (2008).

Zheng, C., Hao, L. & Long, G. L. Observation of a fast evolution in a parity-time-symmetric system. Philos. Trans. Roy. Soc. A Math. Phys. Eng. Sci. 371, 20120053 (2013).

El-Ganainy, R., Makris, K. G., Christodoulides, D. N. & Musslimani, Z. H. Theory of coupled optical PT-symmetric structures. Opt. Lett. 32, 2632–2634 (2007).

Makris, K. G., El-Ganainy, R., Christodoulides, D. N. & Musslimani, Z. H. Beam dynamics in PT symmetric optical lattices. Phys. Rev. Lett. 100, 103904 (2008).

Musslimani, Z. H., Makris, K. G., El-Ganainy, R. & Christodoulides, D. N. Optical solitons in PT periodic potentials. Phys. Rev. Lett. 100, 030402 (2008).

Rüter, C. E. et al. Observation of parity–time symmetry in optics. Nat. Phys. 6, 192–195 (2010).

Ruschhaupt, A., Delgado, F. & Muga, J. G. Physical realization of PT-symmetric potential scattering in a planar slab waveguide. J. Phys. A: Math. Gen. 38, L171–L176 (2005).

Klaiman, S., Günther, U. & Moiseyev, N. Visualization of branch points in PT-symmetric waveguides. Phys. Rev. Lett. 101, 080402 (2008).

Longhi, S. Quantum-optical analogies using photonic structures. Laser Photon Rev. 3, 243–261 (2009).

Rodríguez-Lara, B. M., El-Ganainy, R. & Guerrero, J. Symmetry in optics and photonics: a group theory approach. Sci. Bull. 63, 244–251 (2018).

Longhi, S. Time reversal of a discrete system coupled to a continuum based on non-Hermitian flip. Sci. Bull. 62, 869–874 (2017).

Bender, C. M., Brody, D. C., Jones, H. F. & Meister, B. K. Faster than Hermitian quantum mechanics. Phys. Rev. Lett. 98, 040403 (2007).

Makris, K. G., Brandstötter, A., Ambichl, P., Musslimani, Z. H. & Rotter, S. Wave propagation through disordered media without backscattering and intensity variations. Light Sci. Appl. 6, e17035 (2017).

Feng, L., El-Ganainy, R. & Ge, L. Non-Hermitian photonics based on parity–time symmetry. Nat. Photon. 11, 752–762 (2017).

Liu, W. L. et al. An integrated parity-time symmetric wavelength-tunable single-mode microring laser. Nat. Commun. 8, 15389 (2017).

Hodaei, H., Miri, M. A., Heinrich, M., Christodoulides, D. N. & Khajavikhan, M. Parity-time–symmetric microring lasers. Science 346, 975–978 (2014).

Hodaei, H. et al. Single mode lasing in transversely multi‐moded PT‐symmetric microring resonators. Laser Photon. Rev. 10, 494–499 (2016).

Hodaei H., et al. Tunable parity-time-symmetric microring lasers. CLEO 2015. paper SF1I.1.

Li, G. & El-Ramy, G. Nonlinear modal interactions in parity-time ( PT) symmetric lasers. Sci. Rep. 6, 24889 (2016).

Liertzer, M. et al. Pump-induced exceptional points in lasers. Phys. Rev. Lett. 108, 173901 (2012).

Brandstetter, M. et al. Reversing the pump dependence of a laser at an exceptional point. Nat. Commun. 5, 4034 (2014).

Chang, L. et al. Parity–time symmetry and variable optical isolation in active–passive-coupled microresonators. Nat. Photon. 8, 524–529 (2014).

Peng, B. et al. Parity–time-symmetric whispering-gallery microcavities. Nat. Phys. 10, 394–398 (2014).

Schindler, J., Li, A., Zheng, M. C., Ellis, F. M. & Kottos, T. Experimental study of active LRC circuits with PT symmetries. Phys. Rev. A 84, 040101 (2011).

Chong, Y. D., Ge, L., Cao, H. & Stone, A. D. Coherent perfect absorbers: time-reversed lasers. Phys. Rev. Lett. 105, 053901 (2010).

Wan, W. J. et al. Time-reversed lasing and interferometric control of absorption. Science 331, 889–892 (2011).

Zhang, J. F., Macdonald, K. F. & Zheludev, N. I. Controlling light-with-light without nonlinearity. Light Sci. Appl. 1, e18 (2012).

Yao, X. S. & Maleki, L. Multiloop optoelectronic oscillator. IEEE J. Quantum Electron 36, 79–84 (2000).

Longhi, S. PT-symmetric laser absorber. Phys. Rev. Lett. 82, 031801 (2010).

Chong, Y. D., Ge, L. & Stone, A. D. PT symmetry breaking and laser-absorber modes in optical scattering systems. Phys. Rev. Lett. 106, 093902 (2011).

Zhao, G. M. et al. Raman lasing and Fano lineshapes in a packaged fiber-coupled whispering-gallery-mode microresonator. Sci. Bull. 62, 875–878 (2017).

Gu, F. X. et al. Single whispering-gallery mode lasing in polymer bottle microresonators via spatial pump engineering. Light Sci. Appl. 6, e17061 (2017).

Liu, X. F. et al. Gain competition induced mode evolution and resonance control in erbium-doped whispering-gallery microresonators. Opt. Exp. 24, 9550 (2016).

Lei, F., Peng, B., Özdemir, Ş. K., Long, G. L. & Yang, L. Dynamic fano-like resonances in erbium-doped whispering-gallery-mode microresonators. Appl. Phys. Lett. 105, 101112 (2014).

Yao, X. S. & Maleki, L. Optoelectronic microwave oscillator. J. Opt. Soc. Am. B 13, 1725–1735 (1996).

Chen, W. J., Zhu, D., Chen, Z. W. & Pan, S. L. Full-duty triangular pulse generation based on a polarization-multiplexing dual-drive Mach-Zehnder modulator. Opt. Exp. 24, 28606–28612 (2016).

Yamazaki, H., Yamada, T., Goh, T. & Kaneko, A. PDM-QPSK modulator with a hybrid configuration of silica PLCs and LiNbO 3 phase modulators. J. Light Technol. 29, 721–727 (2011).

Li, W. Z. & Yao, J. P. A wideband frequency tunable optoelectronic oscillator incorporating a tunable microwave photonic filter based on phase-modulation to intensity-modulation conversion using a phase-shifted fiber bragg grating. IEEE Trans. Microw. Theory Tech. 60, 1735–1742 (2012).

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

He, L., Özdemir, Ş. K., Zhu, J. G. & Yang, L. Ultrasensitive detection of mode splitting in active optical microcavities. Phys. Rev. A. 82, 053810 (2010).

Zhu, J. G. et al. On-chip single nanoparticle detection and sizing by mode splitting in an ultrahigh-Q microresonator. Nat. Photon. 4, 46–49 (2010).

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