17-22 July 2022
Royal Conservatory of Music, Toronto
America/Toronto timezone

Scale-free localization induced by long-range coupling

Not scheduled
1h 30m
Abstract of recent or ongoing work (by remote / virtual participant) Degenerate gases, many-body physics, and quantum simulation Abstracts by remote participants

Description

Non-Hermiticity is ubiquitous in systems that exchange energy with the environment, and these non-Hermitian systems are sensitive to boundary conditions. Recent years there have seen various studies on non-Hermitian skin effect, where extensive bulk eigenstates pile at open boundaries. Yet, little is known about the role of long-range coupling in a non-Hermitian system. Here we study the non-Hermitian skin effect in a one-dimensional lattice model with long-range couplings whose coupling range depends on the system size. We show that the non-locality gives rise to the scale-free localization, where the localization length of eigenstate is proportional to the system size. By tuning the coupling range, the competition between the nearest-neighboring coupling and non-locality results in a crossover in the size dependence of localization length. Our results shed light on the interplay between long-range coupling and non-Hermiticity, which can be implemented and observable in atom-waveguide interfaces or optical lattices of ultracold atoms.

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Presenter name Yi-Cheng Wang

Primary authors

Mr Yi-Cheng Wang (Department of Physics, National Taiwan University, Taipei 10617, Taiwan; Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, Taiwan) Prof. Jhih-Shih You (Department of Physics, National Taiwan Normal University, Taipei 11677, Taiwan) Dr Hsiang-Hua Jen (Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, Taiwan)

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