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PreprintCC BY 4.0arXiv

Bogoliubov Dynamics and Zitterbewegung in Optical Dirac Systems

  • Lili Yang
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Abstract

We develop a bosonic Bogoliubov description of Zitterbewegung in time-dependent optical-Dirac systems. Within the optical-Dirac framework, the anomalous pair-creation and pair-annihilation terms of a bosonic Bogoliubov Hamiltonian correspond to couplings between the positive- and negative-frequency sectors, whose coherence underlies the Zitterbewegung response. When the constitutive parameters vary in time, the resulting moving-frame connection generates dynamical interbranch coupling and positive--negative-frequency coherence. Under periodic modulation, this coupling becomes resonant near Ω≃2ω0, leading to parametric amplification of the coherence and consequently to an enhanced Zitterbewegung motion.

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Cite

BibTeXRIS
BibTeX
@misc{yang2026bogoliubov,
  title = {{Bogoliubov Dynamics and Zitterbewegung in Optical Dirac Systems}},
  author = {Lili Yang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32209},
  eprint = {2610.32209},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32209},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Bogoliubov Dynamics and Zitterbewegung in Optical Dirac Systems
AU  - Lili Yang
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32209
UR  - https://arxiv.org/abs/2610.32209
AB  - We develop a bosonic Bogoliubov description of Zitterbewegung in time-dependent optical-Dirac systems. Within the optical-Dirac framework, the anomalous pair-creation and pair-annihilation terms of a bosonic Bogoliubov Hamiltonian correspond to couplings between the positive- and negative-frequency sectors, whose coherence underlies the Zitterbewegung response. When the constitutive parameters vary in time, the resulting moving-frame connection generates dynamical interbranch coupling and positive--negative-frequency coherence. Under periodic modulation, this coupling becomes resonant near Ω≃2ω_0, leading to parametric amplification of the coherence and consequently to an enhanced Zitterbewegung motion.
ER  -