Online Seminars on Non-Hermitian Physics: #4 José Lado
Channel: NH Seminar Series
Date: 28/06/2023

Title: Static and dynamic topological modes in interacting non-Hermitian systems with tensor networks

Abstract: The emergence of topological modes in non-Hermitian systems has established a new strategy to create quantum modes in open quantum systems. While formidable progress has been obtained in non-Hermitian topological systems in the single particle limit, the effect of many-body interactions remains an open problem in quantum physics. I will show that in an engineered platform based on quantum dots, non-Hermitian physics with tunable interactions can be engineered [1]. Using a non-Hermitian tensor network method, we demonstrate that topological modes in this platform remain all the way from the non-interacting to the fully interacting limit. Furthermore, I will show that dynamical interacting non-Hermitian modes can be visualized using a tensor-network kernel polynomial algorithm, allowing us to probe the many-body topology of strongly interacting non-Hermitian systems [2]. I will show that the local spectral functions computed with our algorithm reveal topological spin excitations in a non-Hermitian spin model, faithfully reflecting the non-trivial line gap topology in a many-body model even in the presence of the non-Hermitian skin effect. Our results demonstrate a tensor-network methodology to probe dynamical excitations in topological matter driven by the interplay of many-body interactions and non-Hermiticity.

Live on Wednesday 28 June 2023 at 15:00 CEST.

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