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Detecting non-Bloch topological invariants in quantum dynamics

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arxiv 2107.14741 v1 pith:ZZW3E4GH submitted 2021-07-30 cond-mat.mes-hall cond-mat.quant-gasquant-ph

classification cond-mat.mes-hallcond-mat.quant-gasquant-ph
keywords topologicalinvariantsnon-blochnon-hermitianquantumdetectiondynamictopology
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Non-Bloch topological invariants preserve the bulk-boundary correspondence in non-Hermitian topological systems, and are a key concept in the contemporary study of non-Hermitian topology. Here we report the dynamic detection of non-Bloch topological invariants in single-photon quantum walks, revealed through the biorthogonal chiral displacement, and crosschecked with the dynamic spin textures in the generalized quasimomentum-time domain following a quantum quench. Both detection schemes are robust against symmetry-preserving disorders, and yield consistent results with theoretical predictions. Our experiments are performed far away from any boundaries, and therefore underline non-Bloch topological invariants as intrinsic properties of the system that persist in the thermodynamic limit. Our work sheds new light on the experimental investigation of non-Hermitian topology.

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