Dynamics of matter-wave solitons in a ratchet potential
arXiv:0802.0085 · doi:10.1103/PhysRevLett.101.150403
Abstract
We study the dynamics of bright solitons formed in a Bose-Einstein condensate with attractive atomic interactions perturbed by a weak bichromatic optical lattice potential. The lattice depth is a biperiodic function of time with a zero mean, which realises a flashing ratchet for matter-wave solitons. The average velocity of a soliton and the directed soliton current induced by the ratchet depend on the number of atoms in the soliton. We employ this feature to study collisions between ratchet-driven solitons and find that soliton transport can be induced through their interactions. In the regime when matter-wave solitons are narrow compared to the lattice period the ratchet dynamics is well described by the effective Hamiltonian theory.
4 pages, 5 figures
References in corpus (20)
- Brownian motors: noisy transport far from equilibrium
- Formation of a Matter-Wave Bright Soliton
- Directed current due to broken time-space symmetry
- Classical and Quantum Hamiltonian Ratchets
- Molecular Wires Acting as Coherent Quantum Ratchets
- Quasiperiodically driven ratchets for cold atoms
- Atomic Landau-Zener tunneling in Fourier-synthesized optical lattices
- Experimental Realization of Quantum-Resonance Ratchets
- Rectified momentum transport for a kicked Bose-Einstein Condensate
- Bright Matter-Wave Soliton Collisions in a Harmonic Trap: Regular and Chaotic Dynamics
- Quantum ratchets in dissipative chaotic systems
- Soliton ratchets
- Directed motion for delta-kicked atoms with broken symmetries: comparison between theory and experiment
- Quantum Ratchets for Quantum Communication with Optical Superlattices
- Bright Solitary-Matter-Wave Collisions in a Harmonic Trap: Regimes of Soliton-like Behaviour
- Optical ratchets with discrete cavity solitons
- Many-body quantum ratchet in a Bose-Einstein condensate
- Chaotic quantum ratchets and filters with cold atoms in optical lattices: properties of Floquet states
- Stable solitons in coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities
- Inhomogeneous soliton ratchets under two ac forces
Cited by in corpus (21)
- Tunable transport with broken space-time symmetries
- Sagnac Interferometry Using Bright Matter-Wave Solitons
- Bright matter-wave soliton collisions at narrow barriers
- Soliton-based matter wave interferometer
- Realizing bright matter-wave soliton collisions with controlled relative phase
- Splitting bright matter-wave solitons on narrow potential barriers: quantum to classical transition and applications to interferometry
- Collective behavior of active topological solitons, knotted streamlines, and transport of cargo in liquid crystals
- Spectroscopy and Directed Transport of Topological Solitons in Crystals of Trapped Ions
- Power and momentum dependent soliton dynamics in lattices with longitudinal modulation
- Nonlinear resonances in δ-kicked Bose-Einstein Condensates
- Topological pumping assisted by Bloch oscillations
- Time-shift invariance determines the functional shape of the current in dissipative rocking ratchets
- Controlled transport of matter waves in two-dimensional optical lattices
- Directed Ratchet Transport in Granular Crystals
- Phase-controlled localization and directed transport in a bipartite lattice
- Transport controlled by Poincaré orbit topology in a driven inhomogeneous lattice gas
- Regular and chaotic transport of discrete solitons in asymmetric potentials
- Noise-Free Generation of Bright Matter-Wave Solitons
- Tunneling and Revival of Anderson Localization in Bose-Einstein Condensate
- A General Scenario of Tunneling Time in Different Energy Regimes
- Efficient mode conversion in guiding structures with longitudinal modulation of nonlinearity