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

TL;DR

This paper predicts that correlated particles on a 1D lattice can exhibit self-acceleration and Bloch oscillations due to anti-Newtonian dynamics, enabled by long-range interactions, with potential realization in photonic simulators.

Contribution

It introduces the concept of anti-Newtonian dynamics leading to self-induced Bloch oscillations in correlated particles, a novel phenomenon in lattice systems.

Findings

Self-acceleration and Bloch oscillations predicted for correlated particles.

Long-range interactions are essential for self-propulsion.

A photonic simulator can potentially observe these effects.

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.