Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 39 min ago
PreprintarXiv licencearXiv

Nonsmooth Bloch Oscillations in Non-Hermitian Systems

  • Yanyan He
  • Tomoki Ozawa
Open at sourcePDFDOICite

Abstract

Bloch oscillations (BOs) represent a paradigmatic manifestation of force-driven band dynamics in lattices, conventionally characterized by continuous quasimomentum evolution and smooth periodic trajectories. Here we show that non-Hermiticity qualitatively changes this paradigm, introducing nonsmooth BOs characterized by cusp-like real-space trajectories and abrupt momentum jumps. Reversing the force switches the dynamics between smooth and nonsmooth BOs, enabling strongly nonreciprocal dynamics. We derive a universal relation for the critical force that governs the nonsmooth-to-smooth dynamical transition in general one-dimensional lattices, which is induced by a pitchfork bifurcation in momentum space. Our work establishes a unified framework for non-Hermitian BOs and uncovers a fundamental bifurcation mechanism that can generate nonsmooth wave transport in entirely linear systems.

Related

  1. Emergent one-dimensional Bloch oscillations in coupled Ising layers
    E. S. Ma, Z. Song
    arXivPreprintarXiv licenceFull textCondensed matterarXiv
  2. Generalized Hydrodynamics of Bloch Oscillations in the Absence of a Lattice
    Stefano Scopa, Philip Zechmann, Michael Knap +2
    Physical Review LettersPeer-reviewedarXiv licenceFull textAtomic, molecular & optical physicsCondensed matterHALarXiv
  3. Magnon Super-Bloch Oscillations and Switchable Transport in Driven Magnonic Crystals
    Xiang Liu, Xi-guang Wang, Zhi-xiong Li +2
    arXivPreprintarXiv licenceFull textCondensed matterarXiv
  4. Tunable topological enhancement of covariant quantum Fisher information via non-Bloch skin effect in non-Hermitian SSH lattices
    Qi-Cheng Wu, Yan-Hui Zhou, Tong Liu +2
    arXivPreprintCC BY 4.0Full textQuantum physics & quantum informationarXiv
  5. A Julia implementation of Floquet-Bloch theory for high-harmonic generation in periodic systems
    Ashwin Pillai, Aurelien Manchon, Claudio Attaccalite
    arXivPreprintarXiv licenceFull textCondensed matterarXiv

Cite

BibTeXRIS
BibTeX
@misc{he2026nonsmooth,
  title = {{Nonsmooth Bloch Oscillations in Non-Hermitian Systems}},
  author = {Yanyan He and Tomoki Ozawa},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.26480},
  eprint = {2606.26480},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.26480},
}
RIS
TY  - UNPB
TI  - Nonsmooth Bloch Oscillations in Non-Hermitian Systems
AU  - Yanyan He
AU  - Tomoki Ozawa
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2606.26480
UR  - https://arxiv.org/abs/2606.26480
AB  - Bloch oscillations (BOs) represent a paradigmatic manifestation of force-driven band dynamics in lattices, conventionally characterized by continuous quasimomentum evolution and smooth periodic trajectories. Here we show that non-Hermiticity qualitatively changes this paradigm, introducing nonsmooth BOs characterized by cusp-like real-space trajectories and abrupt momentum jumps. Reversing the force switches the dynamics between smooth and nonsmooth BOs, enabling strongly nonreciprocal dynamics. We derive a universal relation for the critical force that governs the nonsmooth-to-smooth dynamical transition in general one-dimensional lattices, which is induced by a pitchfork bifurcation in momentum space. Our work establishes a unified framework for non-Hermitian BOs and uncovers a fundamental bifurcation mechanism that can generate nonsmooth wave transport in entirely linear systems.
ER  -