Wave-packet dynamics in pseudo-Hermitian lattices: Coexistence of Hermitian and non-Hermitian wavefronts

• URL: http://arxiv.org/abs/2512.15333v2
• Date: Sun, 21 Dec 2025 04:53:08 GMT
• Title: Wave-packet dynamics in pseudo-Hermitian lattices: Coexistence of Hermitian and non-Hermitian wavefronts
• Authors: Alon Beck, Moshe Goldstein,
• Abstract summary: We show that this dual-front behavior arises naturally in systems governed by a pseudo-Hermitian Hamiltonian.<n>Using the paradigmatic Hatano-Nelson model as our primary example, we demonstrate that this coexistence is essential for understanding a wide array of unconventional dynamical effects.
• Score: 1.4323566945483497
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This paper investigates wave-packet dynamics in non-Hermitian lattice systems and reveals a surprising phenomenon: The simultaneous propagation of two distinct wavefronts, one traveling at the non-Hermitian velocity and the other at the Hermitian velocity. We show that this dual-front behavior arises naturally in systems governed by a pseudo-Hermitian Hamiltonian. Using the paradigmatic Hatano-Nelson model as our primary example, we demonstrate that this coexistence is essential for understanding a wide array of unconventional dynamical effects, including abrupt ``non-Hermitian reflections'', sudden shifts of Gaussian wave-packets, and disorder-induced emergent packets seeded by the small initial tails. We present analytic predictions that closely match numerical simulations. These results may offer new insight into the topology of non-Hermitian systems and point toward measurable experimental consequences.

Related papers

• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• Advances in non-Hermitian dynamics of quadratic bosonic systems [3.5858514751419293]
  Non-Hermitian physics has emerged as a rapidly advancing field of research.<n>The influence of non-Hermitian properties on quantum effects remains a key issue awaiting exploration.
  arXiv  Detail & Related papers  (2026-01-20T09:50:25Z)
• $\mathcal{PT}$-Symmetric Spin--Boson Model with a Continuous Bosonic Spectrum: Exceptional Points and Dynamics [2.631933359112648]
  This work studies a $mathcalPT$-symmetric non-Hermitian spin--boson model.<n>The time evolution of observables is investigated via the Dirac--Frenkel time-dependent variational principle.<n>Results shed light on how $mathcalPT$ symmetry protects coherent light-matter interactions in non-Hermitian quantum systems.
  arXiv  Detail & Related papers  (2025-12-23T11:31:00Z)
• Generalised fractional Rabi problem [35.18016233072556]
  Fractional quantum dynamics provides a natural framework to capture nonlocal temporal behavior and memory effects in quantum systems.<n>In this work, we analyze the physical consequences of fractional-order quantum evolution using a Green's function formulation based on the Caputo fractional derivative.<n>We find that even in the absence of external driving, the static Hamiltonian term induces non-trivial spin dynamics with damping features directly linked to the fractional temporal nonlocality.
  arXiv  Detail & Related papers  (2025-10-09T12:51:57Z)
• Observation of non-Hermitian topology in cold Rydberg quantum gases [42.41909362660157]
  We experimentally demonstrate non-Hermitian spectra topology in a dissipative Rydberg atomic gas.<n>By increasing the interaction strength, the system evolves from Hermitian to non-Hermitian regime.<n>This work establishes cold Rydberg gases as a versatile platform for exploring the rich interplay between non-Hermitian topology, strong interactions, and dissipative quantum dynamics.
  arXiv  Detail & Related papers  (2025-09-30T13:44:43Z)
• Engineering Non-Hermitian Quantum Evolution Using a Hermitian Bath Environment [31.392358417707825]
  Engineering quantum bath networks through non-Hermitian subsystem Hamiltonians has emerged as a promising strategy for qubit cooling, state stabilization, and fault-tolerant quantum computation.<n>We introduce a systematic framework for constructing non-Hermitian subsystems within entirely Hermitian photonic platforms.<n>In particular, controlled exponential decay absorption without actual loss is realized in finite 1-D waveguide chains through discrete-to-continuum coupling and Lanczos transformations.
  arXiv  Detail & Related papers  (2025-07-22T07:14:05Z)
• 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)
• Non-Hermitian wave-packet dynamics and its realization within a non-Hermitian chiral cavity [0.0]
  We derive the semiclassical equations of motion for a wave-packet in a non-Hermitian topological system.<n>We show that the complex Berry curvature introduces both an anomalous velocity and an anomalous force into the semiclassical EOM.<n>We suggest a potential experimental realization of this complex Haldane model using a non-Hermitian optical chiral cavity.
  arXiv  Detail & Related papers  (2025-01-21T14:15:14Z)
• 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)
• Dispersive shock waves in a one-dimensional droplet-bearing environment [7.370081795303041]
  We demonstrate the controllable generation of distinct types of dispersive shock-waves emerging in a quantum droplet bearing environment. Surprisingly, dispersive shock waves persist across the hyperbolic-to-elliptic threshold. A plethora of additional wave patterns arise, such as rarefaction waves, traveling dispersive shock waves, (anti)kinks and droplet wavetrains.
  arXiv  Detail & Related papers  (2024-04-03T18:39:57Z)
• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays [41.94295877935867]
  In the noninteracting case, quantized Thouless pumps can only occur when a topological singularity is encircled adiabatically. In the presence of interactions, such topological transport can even persist for exotic paths in which the system gets arbitrarily close to the noninteracting singularity.
  arXiv  Detail & Related papers  (2024-02-14T16:58:21Z)
• Unusual wave-packet spreading and entanglement dynamics in non-Hermitian disordered many-body systems [0.0]
  Non-Hermiticity and dephasing realize unconventional entanglement evolution in a disordered quantum medium. We first consider how wave packet spreads in a non-Hermitian disordered system for demonstraing that it is very different from the Hermitian case. We then analyze how the entanglement entropy of the system evolves in the interacting non-Hermitian model.
  arXiv  Detail & Related papers  (2021-09-28T14:43:54Z)

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.