Constraints of internal symmetry on the non-Hermitian skin effect and bidirectional skin effect under the action of the Hermitian conjugate of time-reversal symmetry

• URL: http://arxiv.org/abs/2310.18627v2
• Date: Thu, 15 Feb 2024 03:31:39 GMT
• Title: Constraints of internal symmetry on the non-Hermitian skin effect and bidirectional skin effect under the action of the Hermitian conjugate of time-reversal symmetry
• Authors: Shu-Xuan Wang
• Abstract summary: Non-Hermitian skin effect is a basic phenomenon in non-Hermitian system. In this Letter, we investigate the constraints from all internal symmetries on the non-Hermitian skin effect in arbitrary dimensions.
• Score: 0.6526824510982802
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Non-Hermitian skin effect is a basic phenomenon in non-Hermitian system, which means that an extensive number of eigenstates can be localized at the boundary. In this Letter, we systematically investigate the constraints from all internal symmetries on the non-Hermitian skin effect in arbitrary dimensions. By adopting the powerful Amoeba formulation, we build a generic correspondence between the various internal symmetries and the behavior of the non-Hermitian skin effect. Notably, we find that, for non-Hermitian systems with the time-reversal$^\dagger$ symmetry, the eigenstates can simultaneously localize at opposite boundaries, which is beyond the Amoeba formulation, and we dub the phenomenon bidirectional skin effect. Our work provides an overall perspective from the internal symmetry to the non-Hermitian skin effect.

Related papers

• Non-Hermitian glide-time symmetry [17.423012765773063]
  We study a one-dimensional non-Hermitian system with glide-time reversal (GT) symmetry. We discover that the GT symmetry leads to unique physical properties and enables rich dynamic phenomena in non-Hermitian systems. Remarkably, we reveal the dynamic NHSEs that exhibit diverse behaviors across distinct dynamic phases.
  arXiv  Detail & Related papers  (2024-09-20T10:16:42Z)
• Anomalous symmetry protected blockade of skin effect in one-dimensional non-Hermitian lattice systems [20.4728241808175]
  We present a theorem which shows that the combined spatial reflection symmetry can be considered as a criterion in one-dimensional non-Hermitian systems. Our results reveal a profound connection between the symmetry and the fate of NHSE.
  arXiv  Detail & Related papers  (2024-07-29T07:57:59Z)
• Imaginary Stark Skin Effect [0.538968136269197]
  We unveil a new class of NHSE, dubbed "imaginary Stark skin effect" (ISSE) These skin modes exhibit peculiar behaviors, expressed as a single stable exponential decay wave within the bulk region. Our findings provide insights into the NHSE in systems without translational symmetry and contribute to the understanding of non-Hermitian systems in general.
  arXiv  Detail & Related papers  (2024-04-25T17:26:24Z)
• Three perspectives on entropy dynamics in a non-Hermitian two-state system [41.94295877935867]
  entropy dynamics as an indicator of physical behavior in an open two-state system with balanced gain and loss is presented. We distinguish the perspective taken in utilizing the conventional framework of Hermitian-adjoint states from an approach that is based on biorthogonal-adjoint states and a third case based on an isospectral mapping.
  arXiv  Detail & Related papers  (2024-04-04T14:45:28Z)
• Non-Hermitian Mott Skin Effect [0.0]
  We propose a novel type of skin effects in non-Hermitian quantum many-body systems. This phenomenon is induced by the interplay between strong correlations and the non-Hermitian point-gap topology.
  arXiv  Detail & Related papers  (2023-09-25T13:10:07Z)
• Lack of near-sightedness principle in non-Hermitian systems [0.0]
  We show that the non-Hermitian skin effect is not a topological phenomenon in general. When translation symmetry is broken by a single non-Hermitian impurity, skin modes are depleted at the boundary and accumulate at the impurity site.
  arXiv  Detail & Related papers  (2023-08-01T18:29:05Z)
• Disorder-Induced Entanglement Phase Transitions in Non-Hermitian Systems with Skin Effects [20.88126933913389]
  We study the dynamics of a many-body state of free fermions in the paradigmatic Hatano-Nelson model with open boundaries. We find that the area-law behavior of the entanglement entropy in the pristine Hatano-Nelson model develops into a logarithmic scaling for small disorder strength.
  arXiv  Detail & Related papers  (2023-05-21T04:34:05Z)
• Observation of dynamical degeneracy splitting for the non-Hermitian skin effect [3.9198767525769145]
  The non-Hermitian skin effect is a distinctive phenomenon in non-Hermitian systems. We report the experimental observation of both phenomena in a two-dimensional acoustic crystal.
  arXiv  Detail & Related papers  (2023-03-20T13:49:49Z)
• Symmetric non-Hermitian skin effect with emergent nonlocal correspondence [10.704938459679978]
  The non-Hermitian skin effect (NHSE) refers to that an extensive number of eigenstates of a non-Hermitian system are localized in open boundaries. Here we predict a universal phenomenon that with local particle-hole(-like) symmetry the skin modes must be equally distributed on different boundaries. We develop a generic theory for the emergent nonlocal symmetry-protected NHSE by connecting the non-Hermitian system to an extended Hermitian Hamiltonian in aruplicate Hilbert space.
  arXiv  Detail & Related papers  (2023-02-26T02:37:55Z)
• Dynamical Degeneracy Splitting and Directional Invisibility in Non-Hermitian Systems [17.001487000146863]
  We introduce the concept of dynamical degeneracy splitting to describe the anisotropic decay behaviors in non-Hermitian systems. We demonstrate that systems with dynamical degeneracy splitting exhibit two distinctive features: (i) the system shows frequency-resolved non-Hermitian skin effect; (ii) Green's function exhibits anomalous at given frequency, leading to uneven broadening in spectral function and anomalous scattering.
  arXiv  Detail & Related papers  (2022-11-14T22:35:42Z)
• 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)

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.