# 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={New Journal of Physics}, year={2014}, volume={16} }

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.

## 2 Citations

Interactions of solitons with positive and negative masses: Shuttle motion and coacceleration.

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Self-accelerating motion of interacting states with effective positive and negative masses in the form of pairs of solitons in two-component BEC loaded in an optical-lattice (OL) potential is considered.

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