Dynamically encircling an exceptional point in anti-PT-symmetric systems: asymmetric mode switching for symmetry-broken states

Abstract

Dynamically encircling an exceptional point (EP) in parity-time (PT) symmetric systems shows an interesting chiral dynamics, leading to asymmetric mode switching in which the output modes are different when the encircling direction is reversed. Here we show that the dynamical encircling of an EP in anti-PT-symmetric systems can also result in chiral dynamics if the starting/end point lies in the PT-broken phase, in contrast to PT-symmetric systems where chiral dynamics emerges if the starting/end point lies in the PT-unbroken phase. For many applications, such as signal processing using waveguides, the asymmetric mode switching of symmetry-broken modes in anti-PT-symmetric systems is more useful since each eigenmode is localized in one waveguide only. We develop an analytic theory for anti-PT-symmetric chiral dynamics and perform experiments using three waveguides to demonstrate the asymmetric mode switching. The new wave-manipulation phenomena observable in anti-PT-symmetric systems may pave the way towards designing on-chip optical systems with novel functionalities.

8 pages, 5 figures

References in corpus (15)

• The physics of exceptional points
• Inverse design and demonstration of a compact and broadband on-chip wavelength demultiplexer
• Silica-on-Silicon Waveguide Quantum Circuits
• Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
• Loss-induced suppression and revival of lasing
• Topological energy transfer in an optomechanical system with exceptional points
• Spawning rings of exceptional points out of Dirac cones
• Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
• Anti-Parity-Time Symmetric Optics via Flying Atoms
• Dynamically encircling exceptional points: Exact evolution and polarization state conversion
• General description of quasi-adiabatic dynamical phenomena near exceptional points
• Dynamically encircling exceptional points: in situ control of encircling loops and the role of the starting point
• Chiral state-conversion without encircling an exceptional point
• Odd-time reversal $PT$ symmetry induced by anti-$PT$-symmetric medium
• Parity-Time Anti-Symmetric Parametric Amplifier

Cited by in corpus (50)

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• State conversions around exceptional points
• Recent advances in the combination of nonlinearity and exceptional points
• Pseudo-Hermitian Topology of Multiband Non-Hermitian Systems
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• Stability of time-periodic $\mathcal{P}\mathcal{T}$ and anti-$\mathcal{P}\mathcal{T}$-symmetric Hamiltonians with different periodicities
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• Experimental Realization of Non-Abelian Permutations in a Three-State Non-Hermitian System
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