Measuring non-Hermitian topological invariants directly from quench dynamics

Measuring non-Hermitian topological invariants directly from quench dynamics

Blog Article

While non-Hermitian (NH) topological phases and phenomena have been observed across various quantum systems, directly measuring NH topological invariants remains a significant challenge.In this study, we present a generic and unified framework for the direct measurement of various NH priya gongura pickle topological invariants in odd-dimensional systems through quench dynamics.We demonstrate that in one-dimensional (1D) NH systems with sublattice symmetry, the line-gap winding number and point-gap braiding degree can be extracted from the winding patterns of a dynamically constructed field based on postquench spin textures.Specifically, line-gap topology is characterized by integer-valued winding, whereas point-gap complex-band braiding is revealed by half-integer or integer winding with abrupt jumps.We also extend our approach to higher-dimensional winding numbers and non-Bloch topological invariants under open-boundary conditions.

Additionally, we propose a practical cold-atom setup to realize and detect 1D NH topological phases, showing that our dynamical measurement scheme is p1006-1420eg feasible in current experimental settings.This work paves the way for the direct measurement of NH topological invariants in quantum systems.