Resonant scattering of matter wave gap-solitons by optical lattice defects
arXiv:1101.0497 · doi:10.1103/PhysRevA.83.053616
Abstract
The physical mechanism underlying scattering properties of matter wave gap-solitons by linear optical lattice defects is investigated. The occurrence of repeated reflection, transmission and trapping regions for increasing strengths of an optical lattice defect are shown to be due to impurity modes inside the defect potential with chemical potentials and numbers of atoms matching corresponding quantities of an incoming gap-soliton. For gap-solitons with chemical potentials very close to band edges, the number of resonances observed in the scattering coincides with the number of bound states which can exist in the defect potential for the given defect strength. The dependence of the positions and widths of the transmission resonant on the incoming gap-soliton velocities are investigated by means of a defect mode analysis and effective mass theory. The comparisons with direct integrations of the Gross-Pitaevskii equation provide a very good agreement confirming the correctness of our interpretation. The possibility of multiple resonant transmission through arrays of optical lattice defects is also demonstrated. In particular, we show that it is possible to design the strength of the defects so to balance the velocity detunings and to allow the resonant transmission through a larger number of defects. The possibility of using these results for very precise gap-soliton dynamical filters is suggested.
arXiv comment9 pages, 13 figures
References in corpus (33)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- The cold atom Hubbard toolbox
- Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
- Bright gap solitons of atoms with repulsive interaction
- Bloch oscillations and mean-field effects of Bose-Einstein condensates in 1-D optical lattices
- Theory of Nonlinear Matter Waves in Optical Lattices
- Modulational instability in cigar shaped Bose-Einstein condensates in optical lattices
- Collective oscillations of a 1D trapped Bose gas
- Multidimensional solitons in periodic potentials
- Nonlinear excitations in arrays of Bose-Einstein condensates
- Solitary waves in clouds of Bose-Einstein condensed atoms
- Atom interferometry with a weakly-interacting Bose Einstein condensate
- Matter-wave gap solitons in atomic bandgap structures
- Multidimensional solitons in a low-dimensional periodic potential
- Asymmetric Landau-Zener tunneling in a periodic potential
- Regular spatial structures in arrays of Bose-Einstein condensates induced by modulational instability
- Time-resolved measurement of Landau-Zener tunneling in periodic potentials
- Sensitive measurement of forces at micron scale using Bloch oscillations of ultracold atoms
- Resonant trapping in the transport of a matter-wave soliton through a quantum well
- Long-living Bloch oscillations of matter waves in optical lattices
- Anderson localization of solitons
- Nonlinearity induced destruction of resonant tunneling in the Wannier-Stark problem
- Delocalizing transition of multidimensional solitons in Bose-Einstein condensates
- Dark soliton past a finite-size obstacle
- Nonlinearity and disorder: Classification and stability of nonlinear impurity modes
- Resonant scattering of solitons
- Propagation of a Dark Soliton in a Disordered Bose-Einstein Condensate
- Dynamical localization of gap-solitons by time periodic forces
- Rabi oscillations of matter wave solitons in optical lattices
- Long lived matter waves Bloch oscillations and dynamical localization by time dependent nonlinearity management
- Quantum switches and quantum memories for matter-wave lattice solitons
- Double barrier potentials for matter-wave gap solitons
Cited by in corpus (8)
- Gap-type dark localized modes in a Bose-Einstein condensate with optical lattices
- Soliton dynamics in symmetric and non-symmetric complex potentials
- Interaction of discrete nonlinear Schrödinger solitons with a linear lattice impurity
- Scattering of gap solitons by PT-symmetric defects
- Effects of spatially inhomogeneous atomic interactions on Bose-Einstein condensates in optical lattices
- Superfluidity breakdown of periodic matter waves in quasi one-dimensional annular traps via resonant scattering with moving defects
- Probing surface states with many-body wave packet scattering
- Spatial storage of discrete dark solitons