Abstract

Recent intensive simulations have uncovered remarkable phenomena in stability diagrams of classical oscillators, for instance, quint points, parameter rings, and chiral structures of non-quantum origin. So far, their experimental observation has remained elusive. Here, using a simple electronic circuit, we report the experimental detection of five phases of oscillation spread around a quint point, an exceptional point where five oscillatory modes meet. This finding corroborates predictions of non-quantum chirality in the control parameter space of nonlinear oscillators governed by rate equations.

Highlights

  • The availability of high-performance and high-throughput computer clusters has opened the possibility of performing model simulations and optimizations which were impossible until recently

  • Systematic search for operational conditions in systems as diverse as a chemical reaction and an electronic circuit uncovered a number of unsuspected new features in stability diagrams of such classical oscillators

  • The aim of this paper is to report the experimental observation in a simple electronic circuit of five distinct oscillation phases distributed around a predicted quint point, an exceptional point where five different modes of oscillation meet

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Summary

Introduction

The availability of high-performance and high-throughput computer clusters has opened the possibility of performing model simulations and optimizations which were impossible until recently. Systematic search for operational conditions in systems as diverse as a chemical reaction and an electronic circuit uncovered a number of unsuspected new features in stability diagrams of such classical oscillators. The ubiquitous presence of exceptional quint points [7], which are points where five distinct phases meet, parameter rings [8] along which system stability thrives even in the presence of small parameter fluctuations, and innovative non-quantum chiral structures [9,10,11] As discussed in these references, non-quantum chirality refers to chirality which arises from oscillators governed by rate equations, and not by quantum equations of motion as is the case for standard chirality. Despite the apparent omnipresence of these features in distinct physical systems, they have not yet been observed experimentally

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