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20242026
most citedTunable Localisation in Parity-Time-Symmetric Resonator Arrays with Imaginary Gauge Potentials

1 citations · 3 across the 11 of their papers we have counts for

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math-ph2026

Long-range interactions and Anderson localisation for one-dimensional high-contrast resonator chain

Habib Ammari, Silvo Barandun, Jiayu Qiu +1

Spectral and transport properties of high-contrast resonator systems can be described in the subwavelength regime in terms of the so-called capacitance operator. In this paper, we…

math-ph2026

Non-Hermitian Fabry-Pérot Resonances

Habib Ammari, Erik Orvehed Hiltunen, Bowen Li +4

We characterise non-Hermitian Fabry-Pérot resonances in high-contrast resonator systems and study the properties of their associated resonant modes from continuous differential mod…

math-ph2025

Uniform Hyperbolicity, Bandgaps and Edge Modes in Aperiodic Systems of Subwavelength Resonators

Habib Ammari, Clemens Thalhammer, Alexander Uhlmann

We aim to characterise the spectral distributions of bi-infinite, semi-infinite, and finite aperiodic one-dimensional arrays of subwavelength resonators, constructed by sampling fr…

math-ph2025

Competing edge and bulk localisation in non-reciprocal disordered systems

Habib Ammari, Silvio Barandun, Clemens Thalhammer +1

We investigate the competing mechanisms of localisation in one-dimensional block disordered subwavelength resonator systems subject to non-reciprocal damping, induced by an imagina…

math-ph2025

Universal estimates for the density of states for aperiodic block subwavelength resonator systems

Habib Ammari, Silvio Barandun, Bryn Davies +2

We consider the spectral properties of aperiodic block subwavelength resonator systems in one dimension, with a primary focus on the density of states. We prove that for random blo…

math-ph2024

Truncated Floquet-Bloch transform for computing the spectral properties of large finite systems of resonators

Habib Ammari, Silvio Barandun, Alexander Uhlmann

The truncated Floquet-Bloch transform can be used to characterise the spectral properties of finite periodic and aperiodic large systems of resonators. This paper aims to provide f…

math-ph2024★ 1 cited

Generalised Brillouin Zone for Non-Reciprocal Systems

Habib Ammari, Silvio Barandun, Ping Liu +1

Recently, it has been observed that the Floquet-Bloch transform with real quasiperiodicities fails to capture the spectral properties of non-reciprocal systems. The aim of this pap…