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 diagra
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 ...
(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 (...
Molinari L G and Lacagnina G 2009 Disk-annulus transition and localization in random non- Hermitian tridiagonal matrices J. Phys. A: Math. Gen. 42 395204 (9 pp)Molinari, L. G. & Lacagnina, G. Disk-annulus transition and localization in random non-Hermitian tridiagonal matrices. J. Phys. ...
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 ...
Finally, we study the dual chain lattice with on-site cubic nonlinearity which shows transient localized propagation for initially localized excitation and stationary kovaton like localization for broad-site excitation. Our results reveal the possibility of controlling transport dynamics in non-Hermitian ...
In stark contrast to the common wisdom that the NHSE suppresses the entanglement of the quantum many-body system, the entanglement of the photons here can be significantly enhanced. Our results reveal that many-body interactions and entanglement significantly restrain the non-Hermitian nonreciprocal ...
We explore the spectra and localization properties of the N-site banded one-dimensional non-Hermitian random matrices that arise naturally in sparse neural networks. Approximately equal numbers of random excitatory and inhibitory connections lead to spatially localized eigenfunctions, and an intricate eigen...
Localization, resonance and non-Hermitian quantum mechanicsHatanoN.WatanabeT.YamasakiJ.PHYSICA A
The result exhibits an important symmetry property, λ (— h ) = —λ ( h ), which reflects the directionality of the non-hermitian localization. By combining the results for λ with a previous calculation of the complex eigenvalues for weak disorder, we show that the localization length of...