Topological invariants are crucial for characterizing topological systems.
However, experimentally measuring them presents a significant challenge,
especially in non-Hermitian systems where the biorthogonal eigenvectors are
often necessary. We propose a general approach for measuring the topological
invariants of one-dimensional non-Hermitian systems, which can be derived from
the spin textures of right eigenstates. By utilizing a dilation method, we
realize a non-Hermitian system without chiral symmetry on a two-qubit nuclear
magnetic resonance system and measure the winding number associated with the
eigenstates. In addition to examining the topology of the eigenstates, our
experiment also reveals the topological structure of the energy band, which
differs from that in chiral systems. Our work paves the way for further
exploration of complex topological properties in non-Hermitian systems without
chiral symmetry.

Este artículo explora los viajes en el tiempo y sus implicaciones.

Descargar PDF: