Dynamically encircling an exceptional point in anti-parity-time symmetric systems: asymmetric mode switching for symmetry-broken modes

Xu-Lin Zhang; Tianshu Jiang; C. T. Chan

doi:10.1038/s41377-019-0200-8

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Dynamically encircling an exceptional point in anti-parity-time symmetric systems: asymmetric mode switching for symmetry-broken modes

Articles

- Dynamically encircling an exceptional point in anti-parity-time symmetric systems: asymmetric mode switching for symmetry-broken modes
- Dynamically encircling an exceptional point in anti-parity-time symmetric systems: asymmetric mode switching for symmetry-broken modes
- LSA 2019年8卷第5期页码：836-844
- Affiliations：
  
  1.State Key Laboratory of Integrated Optoelectronics, College of Electronic Science and Engineering, Jilin University, Changchun, China
  2.Department of Physics, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China
- Author bio：
  
  C. T. Chan (phchan@ust.hk)
- Funds：
- DOI：10.1038/s41377-019-0200-8
  中图分类号：
- 纸质出版日期：2019，
  
  网络出版日期：2019-10-02，
  
  收稿日期：2019-04-12，
  
  修回日期：2019-09-03，
  
  录用日期：2019-09-09
- Accepted：
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Dynamically encircling an exceptional point in anti-parity-time symmetric systems: asymmetric mode switching for symmetry-broken modes[J]. LSA, 2019,8(5):836-844.

Zhang, X. L., Jiang, T. S. & Chan, C. T. Dynamically encircling an exceptional point in anti-parity-time symmetric systems: asymmetric mode switching for symmetry-broken modes. Light: Science & Applications, 8, 836-844 (2019).
Dynamically encircling an exceptional point in anti-parity-time symmetric systems: asymmetric mode switching for symmetry-broken modes[J]. LSA, 2019,8(5):836-844. DOI： 10.1038/s41377-019-0200-8.

Zhang, X. L., Jiang, T. S. & Chan, C. T. Dynamically encircling an exceptional point in anti-parity-time symmetric systems: asymmetric mode switching for symmetry-broken modes. Light: Science & Applications, 8, 836-844 (2019). DOI： 10.1038/s41377-019-0200-8.

摘要

Abstract

Dynamically encircling an exceptional point (EP) in parity-time (

) symmetric waveguide systems exhibits interesting chiral dynamics that can be applied to asymmetric mode switching for symmetric and anti-symmetric modes. The counterpart symmetry-broken modes (i.e.

each eigenmode is localized in one waveguide only)

which are more useful for applications such as on-chip optical signal processing

exhibit only non-chiral dynamics and therefore cannot be used for asymmetric mode switching. Here

we solve this problem by resorting to anti-parity-time (anti-

) symmetric systems and utilizing their unique topological structure

which is very different from that of

-symmetric systems. We find that the dynamical encircling of an EP in anti-

-symmetric systems with the starting point in the

-broken phase results in chiral dynamics. As a result

symmetry-broken modes can be used for asymmetric mode switching

which is a phenomenon and application unique to anti-

-symmetric systems. We perform experiments to demonstrate the new wave-manipulation scheme

which may pave the way towards designing on-chip optical systems with novel functionalities.

关键词

Keywords

references

Rotter, I. A non-Hermitian Hamilton operator and the physics ofopen quantum systems.J. Phys. A-Math. Theor.42, 153001 (2009)..

Moiseyev, N.Non-Hermitian Quantum Mechanics(Cambridge University Press, Cambridge, 2011).

El-Ganainy, R. et al. Non-Hermitian physics and PT symmetry.Nat. Phys.14, 11-19 (2018)..

Zhao, H.&Feng, L. Parity-time symmetric photonics.National Science Review5, 183-199 (2018)..

Berry, M. V. Physics of nonhermitian degeneracies.Czech. J. Phys.54, 1039-1047 (2004)..

Heiss, W. D. The physics of exceptional points.J. Phys. A-Math. Theor.45, 444016 (2012)..

Guo, A. et al. Observation ofPT-symmetry breaking in complex optical potentials.Phys. Rev. Lett.103, 093902 (2009)..

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

Benisty, H. et al. Implementation of PT symmetric devices using plasmonics: principle and applications.Opt. Express19, 18004-18019 (2011)..

Ge, L.&Stone, A. D. Parity-time symmetry breaking beyond one dimension: the role of degeneracy.Phys. Rev. X4, 031011 (2014)..

Peng, B. et al. Loss-induced suppression and revival of lasing.Science346, 328-332 (2014)..

Zhen, B. et al. Spawning rings of exceptional points out of Dirac cones.Nature525, 354-358 (2015)..

Xu, H. et al. Topological energy transfer in an optomechanical system with exceptional points.Nature537, 80-83 (2016)..

Hodaei, H. et al. Enhanced sensitivity at higher-order exceptional points.Nature548, 187-191 (2017)..

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

Assawaworrarit, S., Yu, X. F.&Fan, S. H. Robust wireless power transfer using a nonlinear parity-time-symmetric circuit.Nature546, 387-390 (2017)..

Zhang, X. L. et al. Exceptional points and symmetry recovery in a two-state system.Phys. Rev. A96, 022112 (2017)..

Heiss, W. D. Repulsion of resonance states and exceptional points.Phys. Rev. E61, 929-932 (2000)..

Dembowski, C. et al. Experimental observation of the topological structure of exceptional points.Phys. Rev. Lett86, 787-790 (2001)..

Gao, T. et al. Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard.Nature526, 554-558 (2015)..

Ding, K. et al. Emergence, coalescence, and topological properties of multiple exceptional points and their experimental realization.Phys. Rev. X6, 021007 (2016)..

Uzdin, R., Mailybaev, A.&Moiseyev, N. On the observability and asymmetry of adiabatic state flips generated by exceptional points.J. Phys. A-Math. Theor.44, 435302 (2011)..

Berry, M. V.&Uzdin, R. Slow non-Hermitian cycling: exact solutions and the Stokes phenomenon.J. Phys. A-Math. Theor.44, 435303 (2011)..

Gilary, I., Mailybaev, A. A.&Moiseyev, N. Time-asymmetric quantum-state-exchange mechanism.Phys. Rev. A88, 010102 (2013)..

Milburn, T. J. et al. General description of quasiadiabatic dynamical phenomena near exceptional points.Phys. Rev. A92, 052124 (2015)..

Hassan, A. U. et al. Dynamically encircling exceptional points: exact evolution and polarization state conversion.Phys. Rev. Lett.118, 093002 (2017)..

Hassan, A. U. et al. Chiral state conversion without encircling an exceptional point.Phys. Rev. A96, 052129 (2017)..

Graefe, E. M., Mailybaev, A. A.&Moiseyev, N. Breakdown of adiabatic transfer of light in waveguides in the presence of absorption.Phys. Rev. A88, 033842 (2013)..

Doppler, J. et al. Dynamically encircling an exceptional point for asymmetric mode switching.Nature537, 76-79 (2016)..

Yoon, J. W. et al. Time-asymmetric loop around an exceptional point over the full optical communications band.Nature562, 86-90 (2018)..

Choi, Y. et al. Extremely broadband, on-chip optical nonreciprocity enabled by mimicking nonlinear anti-adiabatic quantum jumps near exceptional points.Nat. Commun.8, 14154 (2017)..

Politi, A. et al. Silica-on-silicon waveguide quantum circuits.Science320, 646-649 (2008)..

Piggott, A. Y. et al. Inverse design and demonstration of a compact and broadband on-chip wavelength demultiplexer.Nat. Photon.9, 374-377 (2015)..

Zhang, X. L. et al. Dynamically encircling exceptional points:in situcontrol of encircling loops and the role of the starting point.Phys. Rev.X8, 021066 (2018)..

Ge, L.&Türeci, H. E. Antisymmetric PT-photonic structures with balanced positive- and negative-index materials.Phys. Rev. A88, 053810 (2013)..

Antonosyan, D. A., Solntsev, A. S.&Sukhorukov, A. A. Parity-time anti-symmetric parametric amplifier.Opt. Lett.40, 4575-4578 (2015)..

Peng, P. et al. Anti-parity-time symmetry with flying atoms.Nat. Phys.12, 1139-1145 (2016)..

Yang, F., Liu, Y. C.&You, L. Anti-PTsymmetry in dissipatively coupled optical systems.Phys. Rev. A96, 053845 (2017)..

Konotop, V. V.&Zezyulin, D. A. Odd-time reversalPTsymmetry induced by an anti-PT-symmetric medium.Phys. Rev. Lett.120, 123902 (2018)..

Choi, Y. et al. Observation of an anti-PT-symmetric exceptional point and energy-difference conserving dynamics in electrical circuit resonators.Nat. Commun.9, 2182 (2018)..

Slater, L. J.Confluent Hypergeometric Functions.(Cambridge University Press, Cambridge, 1960).

COMSOL.COMSOL Multiphysics® v. 4.3.https://www.comsol.comhttps://www.comsol.com(COMSOL AB, Stockholm, Sweden)..

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