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Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms

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arxiv 2201.09478 v2 pith:CKHIK537 submitted 2022-01-24 cond-mat.quant-gas cond-mat.mes-hallphysics.atom-phquant-ph

Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms

classification cond-mat.quant-gas cond-mat.mes-hallphysics.atom-phquant-ph
keywords nhsenon-hermitiancondensatedynamicseffectmany-bodyquantumskin
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The non-Hermitian skin effect (NHSE), the accumulation of eigen wavefunctions at boundaries of open systems, underlies a variety of exotic properties that defy conventional wisdom. While NHSE and its intriguing impact on band topology and dynamics have been observed in classical or photonic systems, their demonstration in a quantum many-body setting remains elusive. Here we report the experimental realization of a dissipative Aharonov-Bohm chain -- a non-Hermitian topological model with NHSE -- in the momentum space of a two-component Bose-Einstein condensate. We identify unique signatures of NHSE in the condensate dynamics, and perform Bragg spectroscopy to resolve topological edge states against a background of localized bulk states. Our work sets the stage for further investigation on the interplay of many-body statistics and interactions with NHSE, and is a significant step forward in the quantum control and simulation of non-Hermitian physics.

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  1. Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators

    hep-th 2026-04 unverdicted novelty 7.0

    The index of non-Hermitian Dirac operators that anticommute with a chirality operator is topologically protected when the operators are diagonalizable and elliptic.