Detecting non-Bloch topological invariants in quantum dynamics

Abstract

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.

arXiv comment14 pages, 11 figures

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Cited by in corpus (37)

• Topological Non-Hermitian skin effect
• Non-Hermitian skin effect and self-acceleration
• Accumulation of scale-free localized states induced by local non-Hermiticity
• Geometric Origin of Non-Bloch PT Symmetry Breaking
• Engineering Non-Hermitian Skin Effect with Band Topology in Ultracold Gases
• Many-body non-Hermitian skin effect under dynamic gauge coupling
• Manipulating non-reciprocity in a two-dimensional magnetic quantum walk
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• Direction reversal of non-Hermitian skin effect via coherent coupling
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• Topological Microlaser with A non-Hermitian Topological Bulk
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• Universal scaling of Green's functions in disordered non-Hermitian systems
• Selective and tunable excitation of topological non-Hermitian skin modes
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Extended imaginary gauge transformation in a general nonreciprocal lattice
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• Non-Hermitian invisibility in tight-binding lattices
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• Anomalous pumping in the non-Hermitian Rice-Mele model
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• Measuring Non-Hermitian Topological Invariants Directly from Quench Dynamics
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• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
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• Quantum walk for SU(1,1)
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• Unified Multipole Bott Indices for Non-Hermitian Skin Effect in Different Orders
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Topological Phase Transitions and Edge-State Transfer in Time-Multiplexed Quantum Walks
• Self-healing of non-Hermitian topological skin modes