Anti-Newtonian dynamics and self-induced Bloch oscillations of correlated particles

@article{Longhi2014AntiNewtonianDA,
  title={Anti-Newtonian dynamics and self-induced Bloch oscillations of correlated particles},
  author={Stefano Longhi},
  journal={arXiv: Quantum Physics},
  year={2014}
}
  • S. Longhi
  • Published 1 September 2014
  • Physics
  • arXiv: Quantum Physics
We predict that two correlated particles hopping on a one-dimensional Hubbard lattice can show transient self-acceleration and self-induced Bloch oscillations as a result of anti-Newtonian dynamics. Self-propulsion occurs for two particles with opposite effective mass on the lattice and requires long-range particle interaction. A photonic simulator of the two-particle Hubbard model with controllable long-range interaction, where self-propulsion can be observed, is discussed. 
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