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Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings

2024/05/16 by Carlos Vega, A. Muñoz de las Heras, Vega, Carlos +5 · 2 citations
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mechanical and Optical Resonators #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2405.10176

openalex publication_date 2024/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Non-reciprocal couplings or drivings are known to induce steady-state, directional, amplification in driven-dissipative bosonic lattices. This amplification phenomenon has been recently linked to the existence of a non-zero topological invariant defined with the system's dynamical matrix, and thus, it depends critically on the couplings' structure. In this work, we demonstrate the emergence of unconventional, non-reciprocal, long-range dissipative couplings induced by the interaction of the bosonic chain with a chiral, multimode channel, and then study their impact on topological amplification phenomena. We show that these couplings can lead to topological invariant values greater than one which induce topological, multimode amplification and metastability behaviour. Besides, we also show how these couplings can also display topological amplifying phases that are dynamically stable in the presence of local parametric drivings. Finally, we conclude by showing how such phenomena can be naturally obtained in two-dimensional topological insulators hosting multiple edge modes.

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