Unidirectional transport of wave packets through tilted discrete breathers in nonlinear lattices with asymmetric defects
arXiv:1602.00052 · doi:10.1103/PhysRevE.94.032216
Abstract
We consider the transfer of lattice wave packets through a tilted discrete breather (TDB) in opposite directions in the discrete nonlinear Schrödinger model with asymmetric defects, which may be realized as a Bose-Einstein condensate trapped in a deep optical lattice, or as optical beams in a waveguide array. A unidirectional transport mode is found, in which the incident wave packets, whose energy belongs to a certain interval between full reflection and full passage regions, pass the TDB only in one direction, while, in the absence of the TDB, the same lattice admits bi-directional propagation. The operation of this mode is accurately explained by an analytical consideration of the respective energy barriers. The results suggest that the TDB may emulate the unidirectional propagation of atomic and optical beams in various settings. In the case of the passage of the incident wave packet, the scattering TDB typically shifts by one lattice unit in the direction from which the wave packet arrives, which is an example of the tractor-beam effect, provided by the same system, in addition to the rectification of incident waves.
arXiv comment9 pages, 8 figures
References in corpus (43)
- Cold bosonic atoms in optical lattices
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Discrete Breathers
- Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
- Matter-wave interferometry in a double well on an atom chip
- Entanglement of atoms via cold controlled collisions
- Bright gap solitons of atoms with repulsive interaction
- Unidirectional Nonlinear PT-symmetric Optical Structures
- Quantum Logic Gates in Optical Lattices
- Theory of Nonlinear Matter Waves in Optical Lattices
- Destruction of Anderson localization by a weak nonlinearity
- Discrete breathers in nonlinear lattices: Experimental detection in a Josephson array
- A Bose-Einstein condensate in a random potential
- Can a single gradientless light beam drag particles?
- Universal spreading of wavepackets in disordered nonlinear systems
- Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation
- Optical diode based on the chirality of guided photons
- Nonlinear excitations in arrays of Bose-Einstein condensates
- Experimental Generation and Observation of Intrinsic Localized Spin Wave Modes in an Antiferromagnet
- Effect of optical disorder and single defects on the expansion of a Bose-Einstein condensate in a one-dimensional waveguide
- Wannier functions analysis of the nonlinear Schrödinger equation with a periodic potential
- Asymmetric Wave Propagation in Nonlinear Systems
- Delocalization of wave packets in disordered nonlinear chains
- Observation of subdiffusion of a disordered interacting system
- Quantum Computation with a One-Dimensional Optical Lattice
- Bistable diode action in left-handed periodic structures
- Optical mesh lattices with PT-symmetry
- Localized breathing solutions for Bose-Einstein condensates in periodic traps
- Nonreciprocal switching thresholds in coupled nonlinear microcavities
- Spreading for the generalized nonlinear Schroedinger equation with disorder
- KAM tori in 1D random discrete nonlinear Schrödinger model?
- Parity-time symmetry from stacking purely dielectric and magnetic slabs
- Asymmetric Wave Propagation Through Nonlinear PT-symmetric Oligomers
- Transfer of BECs through discrete breathers in an optical lattice
- Subdiffusion in the Nonlinear Schroedinger Equation with Disorder
- Graph State Preparation and Cluster Computation with Global Addressing of Optical Lattices
- Avalanches of Bose-Einstein Condensates in Leaking Optical Lattices
- Fano blockade by a Bose-Einstein condensate in an optical lattice
- Superfluidity versus Disorder in the Discrete Nonlinear Schrödinger Equation
- Variational approximations to homoclinic snaking in continuous and discrete systems
- Symmetry breaking and restoring wave transmission in diode-antidiode double chains
- One-Way Optical Transition based on Causality in Momentum Space
- -symmetric ladders with a scattering core
Cited by in corpus (6)
- Phase controlled single-photon nonreciprocal transmission in a one-dimensional waveguide
- Asymmetric Nonlinear System is Not sufficient for Non-Reciprocal Quantum Wave Diode
- Unidirectional flow of composite bright-bright solitons through asymmetric double potential barriers and wells
- Tunable quantum switcher and router of cold atom matter waves using artificial magnetic fields
- Asymmetric wave transmission through one dimensional lattices with cubic-quintic nonlinearity
- Phonons scattering off discrete asymmetric solitons in the absence of a Peierls-Nabarro potential