Anti-Newtonian dynamics and self-induced Bloch oscillations of correlated particles
arXiv:1409.0431 · doi:10.1088/1367-2630/16/11/113076
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.
arXiv comment11 pages, 3 figures, comments are welcome
References in corpus (32)
- The physics of dipolar bosonic quantum gases
- Repulsively bound atom pairs in an optical lattice
- Direct Observation of Second Order Atom Tunnelling
- Light propagation and localization in modulated photonic lattices and waveguides
- Control of Interaction-Induced Dephasing of Bloch Oscillations
- Hidden order in 1D Bose insulators
- Fractional Bloch oscillations in photonic lattices
- Localized States in Discrete Nonlinear Schrödinger Equations
- Matter-wave solitons of collisionally inhomogeneous condensates
- Interaction-induced decoherence of atomic Bloch oscillations
- Cold Atoms and Molecules in Self-Assembled Dipolar Lattices
- Dynamics of positive- and negative-mass solitons in optical lattices and inverted traps
- Bound States in the Continuum Realized in the One-Dimensional Two-Particle Hubbard Model with an Impurity
- Scaling in Interaction-Assisted Coherent Transport
- Hidden Breit-Wigner distribution and other properties of random matrices with preferential basis
- Damping of Bloch oscillations in the Hubbard model
- Scattering resonances and two-particle bound states of the extended Hubbard model
- Photonic Bloch oscillations of correlated particles
- Quantum Simulations of Extended Hubbard Models with Dipolar Crystals
- Interaction induced fractional Bloch and tunneling oscillations
- Lattice two-body problem with arbitrary finite range interactions
- Novel interaction induced oscillations in correlated electron transport
- Double butterfly spectrum for two interacting particles in the Harper model
- Quantum simulator for the Hubbard model with long-range Coulomb interactions using surface acoustic waves
- Realization of Discrete Quantum Billiard in 2D Optical Lattices
- Localized to extended states transition for two interacting particles in a two-dimensional random potential
- Induced Delocalization by Correlation and Interaction in the one-dimensional Anderson Model
- Bound states in the one-dimensional two-particle Hubbard model with an impurity
- Hyperbolic Transverse Patterns in Nonlinear Optical Resonators
- Energetically constrained co-tunneling of cold atoms
- Klein tunneling of two correlated bosons
- Fermionic trimers in spin-dependent optical lattices