Quantum dynamical signatures of non-Hermitian boundary modes

• URL: http://arxiv.org/abs/2506.16308v1
• Date: Thu, 19 Jun 2025 13:29:51 GMT
• Title: Quantum dynamical signatures of non-Hermitian boundary modes
• Authors: Fan Yang, Maria Zelenayova, Paolo Molignini, Emil J. Bergholtz,
• Abstract summary: The non-Hermitian bulk-boundary correspondence features an interplay between the non-Hermitian skin effect and anomalous boundary-mode behavior.<n>Here we derive experimentally accessible signatures of the boundary modes.
• Score: 2.4902430703732574
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The non-Hermitian bulk-boundary correspondence features an interplay between the non-Hermitian skin effect and anomalous boundary-mode behavior. Whereas the skin effect is known to manifest itself in quantum dynamics in the form of chiral damping, it has remained less clear what impact the boundary modes may have. Here we derive experimentally accessible signatures of the boundary modes. We also establish clear criteria, based on the effective generalized Brillouin zone, that determine when bulk and boundary effects can be dynamically discerned using the Liouvillian separation gap. This leads to telltale signatures in both stable regimes -- where particle number remains finite -- and in the unstable regimes -- where a macroscopic boundary mode population occurs.

Related papers

• Non-Hermitian topology and skin modes in the continuum via parametric processes [44.99833362998488]
  We show that Hermitian, nonlocal parametric pairing processes can induce non-Hermitian topology and skin modes.<n>Our model, stabilized by local dissipation, reveals exceptional points that spawn a tilted diabolical line in the dispersion.
  arXiv  Detail & Related papers  (2025-05-05T16:38:20Z)
• Gapless Floquet topology [40.2428948628001]
  We study the existence of topological edge zero- and pi-modes despite the lack of bulk gaps in the quasienergy spectrum. We numerically study the effect of interactions, which give a finite lifetime to the edge modes in the thermodynamic limit with the decay rate consistent with Fermi's Golden Rule.
  arXiv  Detail & Related papers  (2024-11-04T19:05:28Z)
• 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)
• Anomalously large relaxation times in dissipative lattice models beyond the non-Hermitian skin effect [49.1574468325115]
  We show for generic quantum non-Hermitian tight-binding models that relaxation of local observables are not controlled by the localization length. interference between eigenvectors effectively makes the extreme localization of modes largely irrelevant to relaxation. Our work highlights an important aspect of the non-Hermitian skin effect: the exceptional sensitivity to boundary conditions here necessarily takes a finite amount of time to manifest itself.
  arXiv  Detail & Related papers  (2022-10-25T17:55:58Z)
• 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)
• Liouvillian Skin Effect in an Exactly Solvable Model [3.803244458097104]
  We find that the sensitivity on the boundary conditions associated with the non-Hermitian skin effect is directly reflected in the rapidities governing the time evolution of the density matrix. This leads to several intriguing phenomena including boundary sensitive damping behavior, steady state currents in finite periodic systems, and diverging relaxation times in the limit of large systems.
  arXiv  Detail & Related papers  (2022-03-02T19:00:01Z)
• Selective and tunable excitation of topological non-Hermitian skin modes [0.0]
  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.
  arXiv  Detail & Related papers  (2021-12-09T15:32:39Z)
• 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)
• Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect [3.4842459720439676]
  Systems with non-Hermitian skin effects are very sensitive to imposed boundary conditions and lattice size. We show that non-Hermitian skin effects can survive when deviating from the open boundary condition. We also demonstrate that the non-Hermitian Su-Schreieffer-Heeger model exhibits a new phase diagram in the boundary critical line.
  arXiv  Detail & Related papers  (2021-02-07T11:33:25Z)
• Unraveling the Non-Hermitian Skin Effect in Dissipative Systems [0.0]
  The non-Hermitian skin effect is an exotic manifestation of non-Hermitian systems. relaxation toward a maximally mixed state with the largest von Neumann entropy in a lattice with open boundaries is a manifestation of the semiclassical skin effect.
  arXiv  Detail & Related papers  (2020-10-23T14:23:16Z)
• 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.