Nonlinear waves of Bose-Einstein condensates in rotating ring lattice potentials
arXiv:1811.05565 · doi:10.1103/PhysRevA.99.023630
Abstract
We analyze the dynamics of Bose-Einstein condensates loaded in rotating ring lattices made of a few sites, and show how rotation maps the states found in this finite system into those belonging to a static infinite lattice. Ring currents and soliton states in the absence of a lattice find their continuation in the presence of the lattice as nonlinear Bloch waves and soliton-like states connecting them. Both bright gap solitons and dark-soliton trains are shown to connect continuously to linear solutions. The existence of adiabatic paths upon varying rotation frequency between states with quantized supercurrents suggests highly controllable methods for the experimental generation of persistent currents.
14 pages, 13 figures
References in corpus (14)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap
- Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
- Optical ferris wheel for ultracold atoms
- Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
- Persistent currents in normal metal rings
- Persistent currents in spinor condensates
- Bose-Einstein condensates in 1D optical lattices: compressibility, Bloch bands and elementary excitations
- Coherent superposition of current flows in an Atomtronic Quantum Interference Device
- Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
- Bose-Hubbard model in a ring-shaped optical lattice with high filling factors
- Gap solitons on a ring
- Accurate one-dimensional effective description of realistic matter-wave gap solitons
- Stable symmetry-protected 3D embedded solitons in Bose-Einstein condensates
Cited by in corpus (18)
- Roadmap on Atomtronics: State of the art and perspective
- Vortex-ring quantum droplets in a radially-periodic potential
- Effects of a rotating periodic lattice on coherent quantum states in a ring topology: The case of positive nonlinearity
- Tunneling vortex dynamics in linearly coupled Bose-Hubbard rings
- Bose-Einstein condensate confined in a 1D ring stirred with a rotating delta link
- Bound states in Bose-Einstein condensates with radially-periodic spin-orbit coupling
- Spin-orbit-coupled spin-1 Bose-Einstein condensates in a toroidal trap: even-petal-number necklacelike state and persistent flow
- Current production in ring condensates with a weak link
- Transverse Josephson vortices and localized states in stacked Bose-Einstein condensates
- Rotation Sensitive Quench and Revival of Coherent Oscillations in a Ring Lattice
- Static properties of two linearly coupled discrete circuits
- Entangled Collective Spin States of Two Species Ultracold atoms in a Ring
- Observation of rotation-induced light localization in waveguide arrays
- Instability and particle current control of a parametrically driven Bose-Einstein condensate in a ring-shaped lattice
- Theoretical description of atomtronic Josephson junctions in an optical lattice
- Quantum droplets in two-dimensional optical lattices
- Swallow-tail dispersions of moving solitons in a two-dimensional fermionic superfluid
- Vortices in the Many-Body Excited States of Interacting Bosons in Two Dimension