Related papers: Observation of the Knot Topology of Non-Hermitian Systems in a Single Spin

Observation of the Knot Topology of Non-Hermitian Systems in a Single Spin

URL: http://arxiv.org/abs/2311.03642v2
Date: Sat, 11 Nov 2023 00:34:17 GMT
Title: Observation of the Knot Topology of Non-Hermitian Systems in a Single Spin
Authors: Yang Wu, Yunhan Wang, Xiangyu Ye, Wenquan Liu, Chang-Kui Duan, Ya Wang, Xing Rong, and Jiangfeng Du
Abstract summary: The non-Hermiticity of the system gives rise to distinct knot topology that has no Hermitian counterpart. Our method paves the way for further exploration of the interplay among band braiding, eigenstate topology and symmetries in non-Hermitian quantum systems.
Score: 12.88459291396421
License: http://creativecommons.org/licenses/by/4.0/
Abstract: The non-Hermiticity of the system gives rise to distinct knot topology that has no Hermitian counterpart. Here, we report a comprehensive study of the knot topology in gapped non-Hermitian systems based on the universal dilation method with a long coherence time nitrogen-vacancy center in a $^{\text{12}}$C isotope purified diamond. Both the braiding patterns of energy bands and the eigenstate topology are revealed. Furthermore, the global biorthogonal Berry phase related to the eigenstate topology has been successfully observed, which identifies the topological invariance for the non-Hermitian system. Our method paves the way for further exploration of the interplay among band braiding, eigenstate topology and symmetries in non-Hermitian quantum systems.

Related papers

Gapless Floquet topology [40.2428948628001]
We study the existence of topological edge zero- and pi-modes despite the lack of bulk gaps in the quasienergy spectrum. We numerically study the effect of interactions, which give a finite lifetime to the edge modes in the thermodynamic limit with the decay rate consistent with Fermi's Golden Rule.
arXiv Detail & Related papers (2024-11-04T19:05:28Z)
Topological Order in the Spectral Riemann Surfaces of Non-Hermitian Systems [44.99833362998488]
We show topologically ordered states in the complex-valued spectra of non-Hermitian systems. These arise when the distinctive exceptional points in the energy surfaces of such models are annihilated. We illustrate the characteristics of the topologically protected states in a non-Hermitian two-band model.
arXiv Detail & Related papers (2024-10-24T10:16:47Z)
Non-chiral non-Bloch invariants and topological phase diagram in non-unitary quantum dynamics without chiral symmetry [26.179241616332387]
We identify the non-Bloch topological phase diagram of a one-dimensional (1D) non-Hermitian system without chiral symmetry. We find that such topological invariants can distinguish topologically distinct gapped phases. Our work provides a useful platform to study the interplay among topology, symmetries and the non-Hermiticity.
arXiv Detail & Related papers (2024-07-26T03:29:30Z)
Non-Hermitian Topology in Hermitian Topological Matter [0.0]
We show that anomalous boundary states in Hermitian topological insulators exhibit non-Hermitian topology. We also find the emergence of hinge states within effective non-Hermitian Hamiltonians at surfaces of three-dimensional topological insulators. Our work uncovers a hidden connection between Hermitian and non-Hermitian topology, and provides an approach to identifying non-Hermitian topology in quantum matter.
arXiv Detail & Related papers (2024-05-16T11:59:15Z)
Non-Hermitian Topological Phases: Principles and Prospects [4.3012765978447565]
We present the key principles underpinning the features of non-Hermitian phases. We discuss exceptional points, complex energy gaps and non-Hermitian symmetry classification. We also examine the role of disorder, present the linear response framework, and analyze the Hall transport properties of non-Hermitian systems.
arXiv Detail & Related papers (2022-12-13T10:57:49Z)
Topological transitions with continuously monitored free fermions [68.8204255655161]
We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
arXiv Detail & Related papers (2021-12-17T22:01:54Z)
Non-Hermitian $C_{NH} = 2$ Chern insulator protected by generalized rotational symmetry [85.36456486475119]
A non-Hermitian system is protected by the generalized rotational symmetry $H+=UHU+$ of the system. Our finding paves the way towards novel non-Hermitian topological systems characterized by large values of topological invariants.
arXiv Detail & Related papers (2021-11-24T15:50:22Z)
Bridging the gap between topological non-Hermitian physics and open quantum systems [62.997667081978825]
We show how to detect a transition between different topological phases by measuring the response to local perturbations. Our formalism is exemplified in a 1D Hatano-Nelson model, highlighting the difference between the bosonic and fermionic cases.
arXiv Detail & Related papers (2021-09-22T18:00:17Z)
Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
arXiv Detail & Related papers (2020-03-24T17:31:34Z)

This list is automatically generated from the titles and abstracts of the papers in this site.