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

Abstract

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.

11 pages, 3 figures, comments are welcome

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Cited by in corpus (2)

• Interactions of solitons with positive and negative masses: Shuttle motion and co-acceleration
• On the origins of spectral broadening of incoherent waves:Catastrophic process of coherence degradation