Nonlinear Topological Edge States in a non-Hermitian Array of Optical Waveguides Embedded in an Atomic Gas

• URL: http://arxiv.org/abs/2104.01380v1
• Date: Sat, 3 Apr 2021 11:41:07 GMT
• Title: Nonlinear Topological Edge States in a non-Hermitian Array of Optical Waveguides Embedded in an Atomic Gas
• Authors: Chao Hang, Dmitry A. Zezyulin, Guoxiang Huang, and Vladimir V. Konotop
• Abstract summary: Scheme comprises an array of anisotropic optical waveguides embedded in a gas of cold atoms. We show that the system can be controlled by tuning intra -- and inter-cell coupling coefficients. The introduced scheme generalizes the Rice-Mele Hamiltonian for a nonlinear non-Hermitian quadrimer array.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a scheme comprising an array of anisotropic optical waveguides, embedded in a gas of cold atoms, which can be tuned from a Hermitian to an odd-PT -- symmetric configuration through the manipulation of control and assistant laser fields. We show that the system can be controlled by tuning intra -- and inter-cell coupling coefficients, enabling the creation of topologically distinct phases and linear topological edge states. The waveguide array, characterized by a quadrimer primitive cell, allows for implementing transitions between Hermitian and odd-PT -symmetric configurations, broken and unbroken PT -symmetric phases, topologically trivial and nontrivial phases, as well as transitions between linear and nonlinear regimes. The introduced scheme generalizes the Rice-Mele Hamiltonian for a nonlinear non-Hermitian quadrimer array featuring odd-PT symmetry and makes accessible unique phenomena and functionalities that emerge from the interplay of non-Hermiticity, topology, and nonlinearity. We also show that in the presence of nonlinearity the system sustains nonlinear topological edge states bifurcating from the linear topological edge states and the modes without linear limit. Each nonlinear mode represents a doublet of odd-PT -conjugate states. In the broken PT phase, the nonlinear edge states may be effectively stabilized when an additional absorption is introduced into the system.

Related papers

• Exceptional Points and Stability in Nonlinear Models of Population Dynamics having $\mathcal{PT}$ symmetry [49.1574468325115]
  We analyze models governed by the replicator equation of evolutionary game theory and related Lotka-Volterra systems of population dynamics. We study the emergence of exceptional points in two cases: (a) when the governing symmetry properties are tied to global properties of the models, and (b) when these symmetries emerge locally around stationary states.
  arXiv  Detail & Related papers  (2024-11-19T02:15:59Z)
• Nonlinearity-Driven Morphing and Control of Topological Modes in Non-Hermitian Systems [2.065269712285607]
  Non-Hermitian skin effect (NHSE) and nonlinearity can each delocalize topological zero modes (TZMs) from the boundary. We develop non-Hermitian nonlinear topological interface models to overcome the challenge of precise parameter tuning.
  arXiv  Detail & Related papers  (2024-11-15T18:05:04Z)
• 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)
• Non-Linear Interference Challenging Topological Protection of Chiral Edge States [0.0]
  We show how a wave packet propagating in a chiral edge mode may be irreversibly deflected by scattering off a localized wave-packet. This genuinely non-linear interference phenomenon is in stark contrast to linear scattering off a static impurity.
  arXiv  Detail & Related papers  (2023-05-15T18:00:04Z)
• Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter [0.0]
  This work explores the possibility of creating and controlling unconventional nonlinearities by periodic driving. By means of a parent quantum many-body description, we demonstrate that such driven systems are well captured by an effective NLSE. We analyze these intriguing properties both in the weakly-interacting (mean-field) regime, captured by the effective NLSE, and in the strongly-correlated quantum regime.
  arXiv  Detail & Related papers  (2023-04-12T13:56:27Z)
• Dynamical chaos in nonlinear Schr\"odinger models with subquadratic power nonlinearity [137.6408511310322]
  We deal with a class of nonlinear Schr"odinger lattices with random potential and subquadratic power nonlinearity. We show that the spreading process is subdiffusive and has complex microscopic organization. The limit of quadratic power nonlinearity is also discussed and shown to result in a delocalization border.
  arXiv  Detail & Related papers  (2023-01-20T16:45:36Z)
• Bulk-boundary correspondence for intrinsically-gapless SPTs from group cohomology [3.299672391663527]
  Intrinsically gapless symmetry protected topological phases (igSPT) are gapless systems with SPT edge states. An anomaly in the low-energy (IR) symmetry group emerges from an extended anomaly-free microscopic (UV) symmetry. In two- and three-dimensional systems, an additional possibility is that the emergent anomaly can be satisfied by an anomalous symmetry-enriched topological order.
  arXiv  Detail & Related papers  (2022-08-18T18:00:04Z)
• Nonlinearity enabled higher-dimensional exceptional topology [2.132096006921048]
  We show that nonlinearity plays a crucial role in forming topological singularities of non-Hermitian systems. Our findings lead to advances in the fundamental understanding of the peculiar topology of nonlinear non-Hermitian systems.
  arXiv  Detail & Related papers  (2022-07-14T02:44:53Z)
• Topological multi-mode waveguide QED [49.1574468325115]
  We show how to take advantage of topologically protected propagating modes by interfacing them with quantum emitters. Such capabilities pave the way for generating quantum gates among topologically protected photons as well as generating more complex entangled states of light in topological channels.
  arXiv  Detail & Related papers  (2022-07-05T14:48:50Z)
• Exact solutions of interacting dissipative systems via weak symmetries [77.34726150561087]
  We analytically diagonalize the Liouvillian of a class Markovian dissipative systems with arbitrary strong interactions or nonlinearity. This enables an exact description of the full dynamics and dissipative spectrum. Our method is applicable to a variety of other systems, and could provide a powerful new tool for the study of complex driven-dissipative quantum systems.
  arXiv  Detail & Related papers  (2021-09-27T17:45:42Z)
• Designing Kerr Interactions for Quantum Information Processing via Counterrotating Terms of Asymmetric Josephson-Junction Loops [68.8204255655161]
  static cavity nonlinearities typically limit the performance of bosonic quantum error-correcting codes. Treating the nonlinearity as a perturbation, we derive effective Hamiltonians using the Schrieffer-Wolff transformation. Results show that a cubic interaction allows to increase the effective rates of both linear and nonlinear operations.
  arXiv  Detail & Related papers  (2021-07-14T15:11:05Z)

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.