Abstract

Recent study on topological operations around an exceptional point singularity has shown remarkably robust chiral processes that potentially create time-asymmetric or nonreciprocal systems and devices. Nevertheless, direct observation of the entire dynamics in the courses of the topological operations has not been revealed in experiments thus far. Here, we report a comprehensive experimental study on fully time-resolved dynamic-state evolution passages during encircling-an-exceptional-point operations. Using dynamically tunable electrical oscillators, we create a self-intersecting eigenvalue topology with an unprecedented accuracy and experimentally confirm that the time-asymmetric breakdown of the standard adiabaticity is indeed unavoidable when the system encircles an exceptional point in the canonical adiabatic limit. We further discuss the impact of parasitic noises on the time-asymmetric mode-transfer performance and subsequent considerations for practical design requirements.

Highlights

  • Recent study on topological operations around an exceptional point singularity has shown remarkably robust chiral processes that potentially create time-asymmetric or nonreciprocal systems and devices

  • These intriguing effects essentially involve a non-Hermitian singularity referred to as an exceptional point (EP) that corresponds to a threshold of the spontaneous parity-time (PT) symmetry-breaking transition and creates extremely deformed vector spaces due to coalescence of multiple normal-mode solutions[10]

  • Therein, final states through the topological operations around an EP strongly suggest that it must involve the chiral mode-transfer effect originating from the time-asymmetric breakdown of the standard adiabaticity

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Summary

Introduction

Recent study on topological operations around an exceptional point singularity has shown remarkably robust chiral processes that potentially create time-asymmetric or nonreciprocal systems and devices. Exotic non-Hermitian properties have been found even beyond the wave dynamics or classical physics domains as demonstrated in diffusive heat-transfer processes[8] and single-photon systems consisting of a nitrogen vacancy in a diamond crystal[9]. These intriguing effects essentially involve a non-Hermitian singularity referred to as an exceptional point (EP) that corresponds to a threshold of the spontaneous parity-time (PT) symmetry-breaking transition and creates extremely deformed vector spaces due to coalescence of multiple normal-mode solutions[10]. Our proposed approach provides a comprehensive experimental platform for fundamental study on exotic non-Hermitian dynamics

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