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Observation of chiral state transfer without encircling an exceptional point

Author

Listed:
  • Hadiseh Nasari

    (University of Southern California
    University of Central Florida)

  • Gisela Lopez-Galmiche

    (University of Central Florida)

  • Helena E. Lopez-Aviles

    (University of Central Florida)

  • Alexander Schumer

    (University of Southern California
    Vienna University of Technology (TU Wien))

  • Absar U. Hassan

    (University of Central Florida)

  • Qi Zhong

    (University of Central Florida)

  • Stefan Rotter

    (Vienna University of Technology (TU Wien))

  • Patrick LiKamWa

    (University of Central Florida)

  • Demetrios N. Christodoulides

    (University of Central Florida)

  • Mercedeh Khajavikhan

    (University of Southern California
    University of Southern California)

Abstract

The adiabatic theorem, a corollary of the Schrödinger equation, manifests itself in a profoundly different way in non-Hermitian arrangements, resulting in counterintuitive state transfer schemes that have no counterpart in closed quantum systems. In particular, the dynamical encirclement of exceptional points (EPs) in parameter space has been shown to lead to a chiral phase accumulation, non-adiabatic jumps and topological mode conversion1–8. Recent theoretical studies, however, have shown that contrary to previously established demonstrations, this behaviour is not strictly a result of winding around a non-Hermitian degeneracy9. Instead, it seems to be mostly attributed to the non-trivial landscape of the Riemann surfaces, sometimes because of the presence of an EP in the vicinity9–11. Here, in an effort to bring this counterintuitive aspect of non-Hermitian systems to light and confirm this hypothesis, we provide a set of experiments to directly observe the field evolution and chiral state conversion in an EP-excluding cycle in a slowly varying non-Hermitian system. To do so, a versatile yet unique fibre-based photonic emulator is realized that utilizes the polarization degrees of freedom in a quasi-common-path single-ring arrangement. Our observations may open up new avenues for light manipulation and state conversion, as well as providing a foundation for understanding the intricacies of the adiabatic theorem in non-Hermitian systems.

Suggested Citation

  • Hadiseh Nasari & Gisela Lopez-Galmiche & Helena E. Lopez-Aviles & Alexander Schumer & Absar U. Hassan & Qi Zhong & Stefan Rotter & Patrick LiKamWa & Demetrios N. Christodoulides & Mercedeh Khajavikhan, 2022. "Observation of chiral state transfer without encircling an exceptional point," Nature, Nature, vol. 605(7909), pages 256-261, May.
  • Handle: RePEc:nat:nature:v:605:y:2022:i:7909:d:10.1038_s41586-022-04542-2
    DOI: 10.1038/s41586-022-04542-2
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    Citations

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    Cited by:

    1. Xin Zhou & Xingjing Ren & Dingbang Xiao & Jianqi Zhang & Ran Huang & Zhipeng Li & Xiaopeng Sun & Xuezhong Wu & Cheng-Wei Qiu & Franco Nori & Hui Jing, 2023. "Higher-order singularities in phase-tracked electromechanical oscillators," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    2. Ievgen I. Arkhipov & Adam Miranowicz & Fabrizio Minganti & Şahin K. Özdemir & Franco Nori, 2023. "Dynamically crossing diabolic points while encircling exceptional curves: A programmable symmetric-asymmetric multimode switch," Nature Communications, Nature, vol. 14(1), pages 1-9, December.

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