Nonlinear Thouless Pumping: Solitons and Transport Breakdown.

  title={Nonlinear Thouless Pumping: Solitons and Transport Breakdown.},
  author={Qidong Fu and Peng Wang and Yaroslav V. Kartashov and Vladimir V. Konotop and Fangwei Ye},
  journal={Physical review letters},
  volume={128 15},
One-dimensional topological pumping of matter waves in two overlaid optical lattices moving with respect to each other is considered in the presence of attractive nonlinearity. It is shown that there exists a threshold nonlinearity level above which the matter transfer is completely arrested. Below this threshold, the transfer of both dispersive wave packets and solitons occurs in accordance with the predictions of the linear theory; i.e., it is quantized and determined by the linear dynamical… 

Figures from this paper


Quantized nonlinear Thouless pumping.
The topological protection of wave transport, originally observed in the context of the quantum Hall effect in two-dimensional electron gases1, has been shown to apply broadly to a range of physical
We consider several effects of the matter wave dynamics which can be observed in Bose–Einstein condensates embedded into optical lattices. For low-density condensates, we derive approximate evolution
Topological Thouless pumping of ultracold fermions
Charge transport in a cyclically time-modulated periodic potential, also known as a topological Thouless pump, has been realized in an ultracold gas of fermionic atoms. An electron gas in a
Dynamical localization of gap-solitons by time periodic forces
The phenomenon of dynamical localization of matter wave solitons in optical lattices is first demonstrated and the conditions for its existence are discussed. In addition to the trapping linear
Breakdown of topological Thouless pumping in the strongly interacting regime
We elucidate the mechanism for instability of topological Thouless pumping in strongly interacting systems from a viewpoint of symmetry-protected topological phases. If the protecting symmetries of
Formation and propagation of matter-wave soliton trains
The formation of bright solitons of 7Li atoms in a quasi-one-dimensional optical trap is reported, by magnetically tuning the interactions in a stable Bose–Einstein condensate from repulsive to attractive.
Thouless pumping in disordered photonic systems
Bulk Thouless pumping is experimentally demonstrated using arrays of evanescently coupled optical waveguides, and it is shown that this approach realizes near-full-unit-cell transport per pump cycle for a physically relevant class of localized initial system excitations.
Rabi oscillations and stimulated mode conversion on the subwavelength scale.
The stimulated conversion of subwavelength light modes is possible in both linear and nonlinear regimes and takes place not only in purely dielectric, but also in metallic-dielectric structures, despite the energy dissipation inherent to the plasmonic waveguides.
Dynamical control of matter-wave tunneling in periodic potentials.
Measurements of dynamical suppression of interwell tunneling of a Bose-Einstein condensate (BEC) in a strongly driven optical lattice show that the strong shaking does not destroy the phase coherence of the BEC, opening up the possibility of realizing quantum phase transitions by using the shaking strength as the control parameter.
Tunneling control and localization for Bose-Einstein condensates in a frequency modulated optical lattice
The similarity between matter waves in periodic potential and solid-state physics processes has triggered the interest in quantum simulation using Bose-Fermi ultracold gases in optical lattices. The