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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References

SHOWING 1-10 OF 58 REFERENCES
Interaction-induced fractional Bloch and tunneling oscillations
We study the dynamics of few interacting bosons in a one-dimensional lattice with dc bias. In the absence of interactions the system displays single particle Bloch oscillations. For strong
Damping of Bloch oscillations in the Hubbard model.
TLDR
Using nonequilibrium dynamical mean-field theory, the isolated Hubbard model in a static electric field in the limit of weak interactions is studied, which defines the transition from ac to dc response in terms of the universal long-time behavior of the system.
Interaction-induced oscillations in correlated electron transport
The correlated motion of electrons in a one-dimensional system with an externally applied longitudinal electric field is discussed. Within the tight-binding model we show that in addition to the
Interaction-induced decoherence of atomic BLOCH oscillations.
TLDR
It is shown that the energy spectrum of the Bose-Hubbard model amended by a static field exhibits Wigner-Dyson level statistics, and provides a Hamiltonian model for interaction-induced decoherence.
Klein tunneling of two correlated bosons
Reflection of two strongly interacting bosons with long-rage interaction hopping on a one-dimensional lattice scattered off by a potential step is theoretically investigated in the framework of the
Comment on 'Coherent shift of localized bound pairs in the Bose-Hubbard model'
We consider scattering of a single particle from an interaction-bound pair of particles in the one-dimensional Bose-Hubbard model. We show that the transmission probability of the single particle is
Quantum simulator for the hubbard model with long-range coulomb interactions using surface acoustic waves.
TLDR
An experimental scheme for a quantum simulator of strongly correlated electrons in a GaAs/AlGaAs heterojunction using a Hubbard model with long-range Coulomb interactions suggests that observations of quantum phase transition phenomena are within experimental reach.
Fractional Bloch oscillations in photonic lattices.
TLDR
The first experimental observation of fractional Bloch oscillations is reported, using a photonic lattice as a model system of a two-particle extended Bose-Hubbard Hamiltonian.
Scattering resonances and two-particle bound states of the extended Hubbard model
We present a complete derivation of two-particle states of the one-dimensional extended Bose–Hubbard model involving attractive or repulsive on-site and nearest-neighbour interactions. We find that
Localized to extended states transition for two interacting particles in a two-dimensional random potential
We show by a numerical procedure that a short-range interaction u induces extended two-particle states in a two-dimensional random potential. Our procedure treats the interaction as a perturbation
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