Non-Hermitian skin effect and self-acceleration

• URL: http://arxiv.org/abs/2206.10836v1
• Date: Wed, 22 Jun 2022 04:29:08 GMT
• Title: Non-Hermitian skin effect and self-acceleration
• Authors: Stefano Longhi
• Abstract summary: Non-Hermitian systems exhibit nontrivial band topology and a strong sensitivity of the energy spectrum on the boundary conditions. A macroscopic number of bulk states get squeezed toward the lattice edges under open boundary conditions, an effect dubbed the non-Hermitian skin effect (NHSE) Here we unravel a different dynamical signature of the NHSE in real space that manifests itself in the em early-time dynamics of the system, namely self-acceleration of the wave function.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Non-Hermitian systems exhibit nontrivial band topology and a strong sensitivity of the energy spectrum on the boundary conditions. Remarkably, a macroscopic number of bulk states get squeezed toward the lattice edges under open boundary conditions, an effect dubbed the non-Hermitian skin effect (NHSE). A well-established dynamical signature of the NHSE in real space is the directional bulk flow (or persistent current) for arbitrary initial excitation of the system, which is observed at long times. Here we unravel a different dynamical signature of the NHSE in real space that manifests itself in the {\em early-time} dynamics of the system, namely self-acceleration of the wave function. Self-acceleration is demonstrated to occur rather generally in single--band lattice models probed by single-site excitation, where the acceleration turns out to be proportional to the area enclosed by the energy spectrum of the Bloch Hamiltonian under periodic boundary conditions. The observation of wave packet self-acceleration at early times is a clear signature of the NHSE and should be experimentally accessible using synthetic non-Hermitian matter, for example in discrete-time photonic quantum walks.

Related papers

• Entanglement Spectrum Dynamics as a Probe for Non-Hermitian Bulk-Boundary Correspondence in Systems with Periodic Boundaries [2.5499055723658097]
  We consider the quench dynamics of entanglement spectrum in a periodic open quantum fermionic system. Our results reveal that non-Hermitian topological phases leave a distinctive imprint on the unconditional dynamics within a subsystem of fermionic systems.
  arXiv  Detail & Related papers  (2024-09-11T14:04:07Z)
• 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)
• Observation of non-Hermitian edge burst in quantum dynamics [4.836111090297333]
  We experimentally observe a boundary-induced dynamical phenomenon known as the non-Hermitian edge burst. In contrast to the eigenstate localization, the edge burst represents a generic non-Hermitian dynamical phenomenon that occurs in real time.
  arXiv  Detail & Related papers  (2023-03-22T18:00:02Z)
• 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)
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms [7.71285795527128]
  The non-Hermitian skin effect (NHSE) underlies a variety of exotic properties that defy conventional wisdom. NHSE and its intriguing impact on band topology and dynamics have been observed in classical or photonic systems. We report the experimental realization of a dissipative Aharonov-Bohm chain in the momentum space of a two-component Bose-Einstein condensate.
  arXiv  Detail & Related papers  (2022-01-24T06:28:02Z)
• Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
  Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems. This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state. Our results explain finite-time thermalization in chaotic open quantum systems.
  arXiv  Detail & Related papers  (2021-12-14T18:48:31Z)
• Non-Hermitian skin effect beyond the tight-binding models [0.0]
  The energy spectrum describes rather generally closed loops in complex plane, characterized by integer nonzero winding numbers. We show that the NHSE is ubiquitous under OBC and characterized by a non-vanishing integer winding number. We also show that the interior of the energy spectrum corresponds to the complex eigenenergies sustaining localized (edge) states under semi-infinite boundary conditions.
  arXiv  Detail & Related papers  (2021-09-03T06:03:09Z)
• 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-equilibrium stationary states of quantum non-Hermitian lattice models [68.8204255655161]
  We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner. We focus on the quantum steady states of such models for both fermionic and bosonic systems.
  arXiv  Detail & Related papers  (2021-03-02T18:56:44Z)
• Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
  We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas. Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit. The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
  arXiv  Detail & Related papers  (2020-08-05T18:00:26Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)

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.