Imaginary Stark Skin Effect

• URL: http://arxiv.org/abs/2404.16774v2
• Date: Wed, 1 May 2024 08:57:37 GMT
• Title: Imaginary Stark Skin Effect
• Authors: Heng Lin, Jinghui Pi, Yunyao Qi, Gui-Lu Long,
• Abstract summary: 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.
• Score: 0.538968136269197
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The non-Hermitian skin effect (NHSE) is a unique phenomenon in non-Hermitian systems. However, studies on NHSE in systems without translational symmetry remain largely unexplored. Here, we unveil a new class of NHSE, dubbed "imaginary Stark skin effect" (ISSE), in a one-dimensional lossy lattice with a spatially increasing loss rate. The energy spectrum of this model exhibits a T-shaped feature, with approximately half of the eigenstates localized at the left boundary. These skin modes exhibit peculiar behaviors, expressed as a single stable exponential decay wave within the bulk region. We use the transfer matrix method to analyze the formation of the ISSE in this model. According to the eigen-decomposition of the transfer matrix, the wave function is divided into two parts, one of which dominates the behavior of the skin modes in the bulk. Our findings provide insights into the NHSE in systems without translational symmetry and contribute to the understanding of non-Hermitian systems in general.

Related papers

• 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)
• Crossing exceptional points in non-Hermitian quantum systems [41.94295877935867]
  We reveal the behavior of two-photon quantum states in non-Hermitian systems across the exceptional point. We demonstrate a switching in the quantum interference of photons directly at the exceptional point.
  arXiv  Detail & Related papers  (2024-07-17T14:04:00Z)
• 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 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)
• Entanglement phase transition due to reciprocity breaking without measurement or post-selection [59.63862802533879]
  EPT occurs for a system undergoing purely unitary evolution. We analytically derive the entanglement entropy out of and at the critical point for the $l=1$ and $l/N ll 1$ case.
  arXiv  Detail & Related papers  (2023-08-28T14:28:59Z)
• 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)
• Parsing skin effect in a non-Hermitian spinless BHZ-like model [0.0]
  This work comprehensively investigates the non-Hermitian skin effect (NHSE) in a spinless Bernevig- Hughes-Zhang (BHZ)-like model in one dimension. We show that there are exceptions, and more in-depth analyses are required to decode the presence of NHSE or its variants in a system.
  arXiv  Detail & Related papers  (2023-04-25T11:12:56Z)
• 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)
• Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
  We introduce a class of quantum optical Hamiltonian characterized by three-body couplings. We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
  arXiv  Detail & Related papers  (2022-04-07T15:39:21Z)
• Manipulating non-Hermitian skin effect via electric fields [2.547311585168061]
  In non-Hermitian systems, the phenomenon that the bulk-band eigenstates are accumulated at the boundaries of the systems is called non-Hermitian skin effect (NHSE) We show abundant manipulation effects of dc and ac fields on NHSE, and that the physical mechanism behind these effects is the interplay between the Stark localization, dynamic localization and NHSE.
  arXiv  Detail & Related papers  (2022-01-25T13:43:45Z)
• Non-Hermitian dislocation modes: Stability and melting across exceptional points [0.0]
  dislocation lattice defects support robust topological modes in the bulk of a non-Hermitian (NH) system. We explicitly demonstrate these findings for a two-dimensional NH Chern insulator, thereby establishing that dislocation lattice defects can be instrumental to experimentally probe pristine NH topology.
  arXiv  Detail & Related papers  (2021-05-11T17:59:33Z)

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.