Here we investigate the impact of non-Hermitian perturbations on many-body localization. We focus on the interacting Hatano-Nelson model which breaks unitarity via asymmetric hopping. We explore the phase diagram for the mid-spectrum eigenstates as a function of the interactio...
Non-Hermiticity from non-reciprocal hoppings has been shown recently to demonstrate the non-Hermitian skin effect (NHSE) under open boundary conditions (OBCs). Here we study the interplay of this effect and the Anderson localization in a extit{non-reciprocal} quasiperiodic lattice, dubbed non-rec...
Our results as to the nature of the non hermitian quantum states, differ qualitatively from earlier studies which did not examine the detailed properties of the localization length. Nevertheless we obtain a well-defined simple picture for the pinning-depinning transition of flux lines. We discuss ...
摘要 A unique feature of non-Hermitian systems is the extreme sensitivity of the eigenspectrum to boundary conditio...展开更多 作者 Xiang Li Jin Liu Tao Liu 机构地区 School of Physics and Optoelectronics 出处 《Frontiers of physics》 SCIE CSCD 2024年第3期39-50,共12页 物理学前沿(英文版)...
M. Shnerb. Non-hermitian localization and population biology. Phys. Rev. E, 58 (1998), 1383-1403.Nelson, D.R. & Shnerb, N.M., Non-Hermitian localization and population biology, Phys. Rev. E 58, 1383-1402 (1998).D. R. Nelson and N. M. Shnerb. Non-hermitian localization and ...
(EPs) in a square (rectangular) lattice is zero (half-integer). We also check the stabilities of these non-Hermitian degeneracy points via the Zeeman splitting arising from a magnetic field. We find that EPs persist, in stark contrast to the symmetry-protected NDP and Dirac point (...
We find that such nonlinearity coaxes non-reciprocal excitations—so-called non-Hermitian skin waves5,6,7,8,15,16,17,18,19,20,21,22, which are typically unstable—into robust one-way (anti)solitons. We harness such non-reciprocal topological solitons by constructing an active waveguide ...
Here, we study the Anderson localization behaviors of electromagnetic waves in such gain-loss balanced random non-Hermitian systems when the waves are obliquely incident on the random media. We also study the case of normal incidence when the sample-specific gain-loss profile is slightly altered ...
eigenstate localizationnon‐Hermitian topological phase transitionsThe topological properties of a generalized non〩ermitian Su–Schrieffer–Heeger model are investigated and it is demonstrated that the non〩ermitian phase transition and the non〩ermitian skin effect can be induced by intraヽell asymmetric...
A type of non-Hermitian generalization of quantum mechanics is discussed. We introduce an imaginary vector potential to the Hamiltonian of systems such as Anderson-localization systems and mesoscopic systems. In these systems the imaginary part of the wave number of the eigenfunction asymptote ψ(x)...