Accelerated Non-Reciprocal Transfer of Energy Around an Exceptional\n Point

2021/11/22 by Hugo Ribeiro, Florian Marquardt, Ribeiro, Hugo +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Classical Physics (physics.class-ph) #FOS: Physical sciences #Optics (physics.optics) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2111.11220

openalex publication_date 2021/11/22 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We develop perturbative methods to study and control dynamical phenomena\nrelated to exceptional points in Non-Hermitian systems. In particular, we show\nhow to find perturbative solutions based on the Magnus expansion that\naccurately describe the evolution of non-Hermitian systems when encircling an\nexceptional point. This allows us to use the recently proposed Magnus-based\nstrategy for control to design fast non-reciprocal, topological operations\nwhose fidelity error is orders of magnitude smaller than their much slower\nadiabatic counterparts.\n

Citations

• On the exponential solution of differential equations for a linear operator
• Exceptional topology of non-Hermitian systems

Cited by

• Noise-Canceling Quantum Feedback: non-Hermitian Dynamics with Applications to State Preparation and Magic State Distillation

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