The non-Hermitian skin effect: A perspective

• URL: http://arxiv.org/abs/2410.23845v1
• Date: Thu, 31 Oct 2024 11:51:15 GMT
• Title: The non-Hermitian skin effect: A perspective
• Authors: Julius T. Gohsrich, Ayan Banerjee, Flore K. Kunst,
• Abstract summary: The non-Hermitian (NH) skin effect is a truly NH feature, which manifests itself as an accumulation of states, known as skin states, on the boundaries of a system. Non-normality and non-reciprocity are reviewed as necessary requirements to see the NH skin effect.
• Score: 4.374427560393137
• License:
• Abstract: The non-Hermitian (NH) skin effect is a truly NH feature, which manifests itself as an accumulation of states, known as skin states, on the boundaries of a system. In this perspective, we discuss several aspects of the NH skin effect focusing on the most interesting facets of this phenomenon. Non-normality and non-reciprocity are reviewed as necessary requirements to see the NH skin effect. We further discuss the NH skin effect as a topological effect that can be seen as a manifestation of a truly NH bulk-boundary correspondence, and show how topological boundary states can be distinguished from skin states. As most theoretical work has focused on studying the NH skin effect in the one-dimensional single-particle picture, recent developments of studying this effect in higher dimensions as well as in the many-body case are also highlighted. Lastly, experimental realizations and applications of the NH skin effect are reviewed.

Related papers

• Theory of vibrational Stark effect for adsorbates and diatomic molecules [20.90864806327518]
  The vibrational Stark effect (VSE) of adsorbates at the electrochemical interfaces is generally investigated using the Lambert theory. Here we revisit the question that to what extent the quantum effect is important for VSE, and if it is observable, then which physical quantity determines this effect.
  arXiv  Detail & Related papers  (2024-10-29T08:46:25Z)
• 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)
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems [3.072340427031969]
  The non-Hermitian skin effect (NHSE) is a fascinating phenomenon in nonequilibrium systems where eigenstates massively localize at the systems' boundaries. Our results open up a new avenue on exploring novel non-Hermitian phenomena from the interplay between NHSE and anyonic statistics.
  arXiv  Detail & Related papers  (2024-05-20T18:00:12Z)
• Incoherent non-Hermitian skin effect in photonic quantum walks [0.0]
  The non-Hermitian skin effect describes the concentration of an extensive number of eigenstates near the boundaries of certain dissipative systems. Here we push the concept of skin effect into the fully incoherent regime and show that rather generally (but not universally) the non-Hermitian skin effect persists under dephasing dynamics.
  arXiv  Detail & Related papers  (2024-04-06T07:30:35Z)
• Observation of topology transition in Floquet non-Hermitian skin effects in silicon photonics [19.744996310272178]
  We realize the Floquet NHSE in periodically modulated optical waveguides integrated on a silicon photonics platform. Remarkably, we discover the transitions between the normal unipolar NHSEs and an unconventional bipolar NHSE. Our work unfolds a new route toward Floquet NHSEs originating from the interplay between gauge fields and dissipation effects.
  arXiv  Detail & Related papers  (2024-02-15T04:29:29Z)
• DDI-CoCo: A Dataset For Understanding The Effect Of Color Contrast In Machine-Assisted Skin Disease Detection [51.92255321684027]
  We study the interaction between skin tone and color difference effects and suggest that color difference can be an additional reason behind model performance bias between skin tones. Our work provides a complementary angle to dermatology AI for improving skin disease detection.
  arXiv  Detail & Related papers  (2024-01-24T07:45:24Z)
• Non-Hermitian Skin Effect In Periodically-Driven Dissipative Ultracold Atoms [2.321156185872456]
  The non-Hermitian skin effect (NHSE) is one of most striking properties in the fields of non-Hermitian physics. We study the NHSE in a 1D optical lattice by periodically-driven ultracold atoms in the presence of staggered atomic loss.
  arXiv  Detail & Related papers  (2023-11-11T12:00:16Z)
• Non-Hermitian Chiral Skin Effect [0.10499611180329801]
  We discover an alternative form of the non-Hermitian skin effect called the non-Hermitian chiral skin effect (NHCSE) NHCSE is a non-Hermitian skin effect under periodic boundary condition rather than open boundary condition. As a result, the intrinsic mechanism of the hybrid skin-topological effect in Chern insulators is fully understood via NHCSE.
  arXiv  Detail & Related papers  (2023-04-04T00:12:05Z)
• 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)
• Unification of valley and anomalous Hall effects in a strained lattice [20.789927809771008]
  We show that the hopping strengths between neighboring sites are designed by mimicking those between the Fock states in a three-mode Jaynes-Cummings model. The eigenstates in the zeroth Landau level can be represented by the eigenstates of a large pseudo-spin. Our study sheds light on connection between seemingly unrelated topological phases in condensed matter physics.
  arXiv  Detail & Related papers  (2021-03-31T08:44:30Z)
• Skin effect and winding number in disordered non-Hermitian systems [0.0]
  We extend the definition of the winding number to disordered NH systems. We verify that our real-space formula still predicts the NH skin effect in strongly disordered NH systems.
  arXiv  Detail & Related papers  (2020-07-07T19:00:01Z)

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.