Selective and tunable excitation of topological non-Hermitian skin modes

• URL: http://arxiv.org/abs/2112.04988v1
• Date: Thu, 9 Dec 2021 15:32:39 GMT
• Title: Selective and tunable excitation of topological non-Hermitian skin modes
• Authors: Stefano Longhi
• Abstract summary: Non-Hermitian lattices sustain an extensive number of exponentially-localized states, dubbed non-Hermitian skin modes. Such states can be predicted from the nontrivial topology of the energy spectrum under periodic boundary conditions. In any realistic system with a finite lattice size most of skin edge states collapse and become metastable states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Non-Hermitian lattices under semi-infinite boundary conditions sustain an extensive number of exponentially-localized states, dubbed non-Hermitian skin modes. Such states can be predicted from the nontrivial topology of the energy spectrum under periodic boundary conditions via a bulk-edge correspondence. However, the selective excitation of the system in one among the infinitely-many topological skin edge states is challenging both from practical and conceptual viewpoints. In fact, in any realistic system with a finite lattice size most of skin edge states collapse and become metastable states. Here we suggest a route toward the selective and tunable excitation of topological skin edge states which avoids the collapse problem by emulating semi-infinite lattice boundaries via tailored on-site potentials at the edges of a finite lattice. We illustrate such a strategy by considering a non-Hermitian topological interface obtained by connecting two Hatano-Nelson chains with opposite imaginary gauge fields, which is amenable for a full analytical treatment.

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)
• Non-Hermitian Origin of Wannier Localizability and Detachable Topological Boundary States [0.0]
  We identify non-Hermitian boundary states as detachable topological boundary states. We show that intrinsic non-Hermitian topology leads to the inevitable spectral flow. Based on this connection and $K$-theory, we complete the classification of Wannier localizability and detachable topological boundary states.
  arXiv  Detail & Related papers  (2024-07-12T17:41:19Z)
• Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems [12.085380828370914]
  The non-Hermitian effect (NHSE) creates barriers for the appearance of impurity bound states. Our work reveals a geometry transition of bound state between concavity and convexity in high-dimensional non-Hermitian systems.
  arXiv  Detail & Related papers  (2024-06-11T18:00:12Z)
• Real-space detection and manipulation of topological edge modes with ultracold atoms [56.34005280792013]
  We demonstrate an experimental protocol for realizing chiral edge modes in optical lattices. We show how to efficiently prepare particles in these edge modes in three distinct Floquet topological regimes. We study how edge modes emerge at the interface and how the group velocity of the particles is modified as the sharpness of the potential step is varied.
  arXiv  Detail & Related papers  (2023-04-04T17:36:30Z)
• Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition [62.997667081978825]
  We analyze the role of boundary conditions in the statistics of topological defects. We show that for fast and moderate quenches, the cumulants of the kink number distribution present a universal scaling with the quench rate.
  arXiv  Detail & Related papers  (2022-07-08T09:55:05Z)
• 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)
• Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains [68.8204255655161]
  We show that even in the absence of disorder, and in the presence of bulk heating, $pi$ edge modes are long lived. A tunneling estimate for the lifetime is obtained by mapping the stroboscopic time-evolution to dynamics of a single particle in Krylov subspace.
  arXiv  Detail & Related papers  (2021-05-28T12:13:14Z)
• Non-Hermitian topological end breathers [0.0]
  We show that non-Hermitian effects can give rise to a wider variety of topological solitons than was previously known to exist. This demonstrates that non-Hermitian effects can give rise to a wider variety of topological solitons than was previously known to exist.
  arXiv  Detail & Related papers  (2021-04-07T04:08:45Z)
• Quasi-stationary solutions in non-Hermitian systems [0.0]
  Eigenstates exhibit localization at an open edge in a non-Hermitian lattice due to non-Hermitian skin effect. We predict quasi-stationary solutions, which are approximately time-independent.
  arXiv  Detail & Related papers  (2021-03-23T17:25:04Z)
• Many-Body Topological and Skin States without Open Boundaries [3.787008621816909]
  We show that many-body effects can induce analogs of robust states in place of actual physical boundaries. We demonstrate the emergence of topological chiral modes in a two-fermion hopping model without open boundaries. Our many-body skin states generalize directly in the thermodynamic limit.
  arXiv  Detail & Related papers  (2020-06-01T18:17:58Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)

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.