ArticleNature communications2020
Topological framework for directional amplification in driven-dissipative cavity arrays.
Article in Nature communications, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- Harmonic non-Hermitian skin effect.Nature communications · 2026Article
- Demonstration of a tunable non-Hermitian nonlinear microwave dimer.Nature communications · 2025Article
- Optical control of levitated nanoparticles via dipole-dipole interaction.Nanophotonics (Berlin, Germany) · 2025Article
- Reviving the Lieb-Schultz-Mattis theorem in open quantum systems.National science review · 2025Article
- Self acceleration from spectral geometry in dissipative quantum-walk dynamics.Nature communications · 2024Article
- Quantum simulation of the bosonic Kitaev chain.Nature communications · 2024Article
- Article
- Non-Hermitian dynamics and non-reciprocity of optically coupled nanoparticles.Nature physics · 2024Article
- Non-Abelian effects in dissipative photonic topological lattices.Nature communications · 2023Article
- Parity-dependent unidirectional and chiral photon transfer in reversed-dissipation cavity optomechanics.Fundamental research · 2023Article
- Article
- Quantized classical response from spectral winding topology.Nature communications · 2021Article
- 2D Dynamic Directional Amplification (DDA) in Phononic Metamaterials.Materials (Basel, Switzerland) · 2021Article
- Exponentially-enhanced quantum sensing with non-Hermitian lattice dynamics.Nature communications · 2020Article
Corrections and comments
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Authors and funding
3 authors.
Funding
Abstract
Directional amplification, in which signals are selectively amplified depending on their propagation direction, has attracted much attention as key resource for applications, including quantum information processing. Recently, several, physically very different, directional amplifiers have been proposed and realized in the lab. In this work, we present a unifying framework based on topology to understand non-reciprocity and directional amplification in driven-dissipative cavity arrays. Specifically, we unveil a one-to-one correspondence between a non-zero topological invariant defined on the spectrum of the dynamic matrix and regimes of directional amplification, in which the end-to-end gain grows exponentially with the number of cavities. We compute analytically the scattering matrix, the gain and reverse gain, showing their explicit dependence on the value of the topological invariant. Parameter regimes achieving directional amplification can be elegantly obtained from a topological 'phase diagram', which provides a guiding principle for the design of both phase-preserving and phase-sensitive multimode directional amplifiers.
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Registered trials
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