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

Fuente: arXiv
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Autori principali: Vega, Carlos, Heras, Alberto Muñoz de las, Porras, Diego, González-Tudela, Alejandro
Natura: Preprint
Pubblicazione: 2024
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author Vega, Carlos
Heras, Alberto Muñoz de las
Porras, Diego
González-Tudela, Alejandro
author_facet Vega, Carlos
Heras, Alberto Muñoz de las
Porras, Diego
González-Tudela, Alejandro
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_10176
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings
Vega, Carlos
Heras, Alberto Muñoz de las
Porras, Diego
González-Tudela, Alejandro
Quantum Physics
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.
title Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings
topic Quantum Physics
url https://arxiv.org/abs/2405.10176