Engineering skin effect across a junction of Hermitian and non-Hermitian lattice

• URL: http://arxiv.org/abs/2308.05702v1
• Date: Thu, 10 Aug 2023 17:06:55 GMT
• Title: Engineering skin effect across a junction of Hermitian and non-Hermitian lattice
• Authors: Ranjan Modak
• Abstract summary: We study a system where the two edges of a non-Hermitian lattice with asymmetric nearest-neighbor hopping are connected with two Hermitian lattices with symmetric nearest-neighbor hopping. In the absence of those Hermitian lattices, the majority of the eigenstates of the system will be localized at the edges. We show that once we connect it with the Hermitian lattices, for open boundary conditions (OBC), the localized states exist at the junction of the non-Hermitian and Hermitian lattices.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study a system where the two edges of a non-Hermitian lattice with asymmetric nearest-neighbor hopping are connected with two Hermitian lattices with symmetric nearest-neighbor hopping. In the absence of those Hermitian lattices, the majority of the eigenstates of the system will be localized at the edges, the phenomena known as the non-Hermitian skin effect. We show that once we connect it with the Hermitian lattices, for open boundary conditions (OBC), the localized states exist at the junction of the non-Hermitian and Hermitian lattice; moreover, the spectrum shows mobility edges that separate delocalized and localized states. On the contrary, mobility edges vanish for periodic boundary conditions (PBC), and the delocalized phase turns into a scale-invariant localized phase, where the localized states are still peaked at the junctions. We also find that if the connected Hermitian lattices are thermodynamically large, in OBC, most of the states become delocalized, while in PBC, the system still shows the scale-invariant localized phase.

Related papers

• 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)
• Dipole-dipole interactions mediated by a photonic flat band [44.99833362998488]
  We study the photon-dipole interactions between emitters dispersively coupled to the photonic analogue of a flat band (FB) We show that the strength of such photon-mediated interactions decays exponentially with distance with a characteristic localization length. We find that the localization length grows with the overlap between CLSs according to an analytically-derived universal scaling law valid for a large class of FBs both in 1D and 2D.
  arXiv  Detail & Related papers  (2024-05-30T18:00:05Z)
• Coexistence of non-Hermitian skin effect and extended states in one-dimensional nonreciprocal lattices [3.4125898247614423]
  We study the one-dimensional non-Hermitian lattices with staggered onsite modulations and nonreciprocal hopping. Our work unveils the intricate interplay between onsite modulations and nonreciprocal hopping in non-Hermitian systems.
  arXiv  Detail & Related papers  (2024-03-28T13:59:28Z)
• Identifying gap-closings in open non-Hermitian systems by Biorthogonal Polarization [0.0]
  We investigate gap-closings in one- and two-dimensional tight-binding models with two bands, containing non-Hermitian hopping terms, and open boundary conditions imposed along one direction. The non-Hermiticity results in the failure of the familiar notions of bulk-boundary correspondence found for Hermitian systems.
  arXiv  Detail & Related papers  (2024-01-22T18:56:46Z)
• Non-Hermitian extended midgap states and bound states in the continuum [0.0]
  We find two flavours of bound states in the continuum, both stable even in the absence of chiral symmetry. Results clarify fundamental aspects of topology, and symmetry in the light of different approaches to the anomalous non-Hermitan bulk-boundary correspondence.
  arXiv  Detail & Related papers  (2023-10-27T16:58:04Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Topologically bound states, non-Hermitian skin effect and flat bands, induced by two-particle interaction [91.3755431537592]
  We study theoretically repelling quantum states of two spinless particles in a one-dimensional tight-binding model. We demonstrate, that when the particles are not identical, their interaction drives nontrivial correlated two-particle states.
  arXiv  Detail & Related papers  (2022-11-11T07:34:54Z)
• Non-Hermitian skin effect edge [0.0]
  Non-Hermitian skin effect (NHSE) is a unique phenomenon studied intensively in non-Hermitian systems. Our work reveals the intricate interplay between NHSE and nonreciprocal hopping in non-Hermitian systems.
  arXiv  Detail & Related papers  (2022-09-26T09:30:29Z)
• 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)
• Non-Hermitian pseudo mobility edge in a coupled chain system [0.0]
  We show that in the ladder with weak rung coupling, the nonHermitian skin localization could induce a pseudo mobility edge. We also demonstrate the gradual takeover of the non-Hermitian skin effect in the entire system.
  arXiv  Detail & Related papers  (2021-11-23T14:55:37Z)
• Observing localisation in a 2D quasicrystalline optical lattice [52.77024349608834]
  We experimentally and numerically study the ground state of non- and weakly-interacting bosons in an eightfold symmetric optical lattice. We find extended states for weak lattices but observe a localisation transition at a lattice depth of $V_0.78(2),E_mathrmrec$ for the non-interacting system.
  arXiv  Detail & Related papers  (2020-01-29T15:54:42Z)

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

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.