Nonlinear Bloch-Zener oscillations for Bose-Einstein condensates in a Lieb optical lattice
arXiv:2004.04885 · doi:10.1088/1367-2630/ab8e59
Abstract
We investigate Bloch-Zener oscillations and mean-field Bloch bands of a Bose-Einstein condensate (BEC) in a Lieb optical lattice. We find that the atomic interaction will break the point group symmetry of the system, leading to the destruction of the Dirac cone structure, while the flat band is preserved on the highly symmetric lines. Due to the nonlinear effect, a tubular band structure with a flat band will appear in the system. Furthermore, comparing with that the tight-binding (TB) model fails to describe the interacting bosonic systems in the honeycomb lattice, we show that the TB model is applicable to study the nonlinear energy band structures for the Lieb lattice. In addition, we show that the loop structure can be determined by the observation of the chaos of the state in the Bloch-Zener oscillations.
arXiv comment9 pages, 8 figures
References in corpus (54)
- Many-Body Physics with Ultracold Gases
- Quantum Spin Hall Effect in Silicene
- Experimental realisation of the topological Haldane model
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Artificial gauge potentials for neutral atoms
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Light-induced gauge fields for ultracold atoms
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
- Spin-orbit coupling in quantum gases
- Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
- Landau-Zener-Stuckelberg interferometry
- Quantised Vortices in an Exciton-Polariton Fluid
- High-temperature surface superconductivity in topological flat-band systems
- Ultracold Atoms in a Tunable Optical Kagome Lattice
- Mach-Zehnder Interferometry in a Strongly Driven Superconducting Qubit
- Landau and Dynamical Instabilities of the Superflow of Bose-Einstein Condensates in Optical Lattices
- Merging of Dirac points in a two-dimensional crystal
- Edge Solitons in Nonlinear Photonic Topological Insulators
- Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice
- Geometric origin of superfluidity in the Lieb lattice flat band
- Bose-Einstein condensates in standing waves: The cubic nonlinear Schroedinger equation with a periodic potential
- Dynamical Superfluid-Insulator Transition in a Chain of Weakly Coupled Bose-Einstein Condensates
- Multi-Component Quantum Gases in Spin-Dependent Hexagonal Lattices
- Topological quantum matter with cold atoms
- Topological Insulators on the Lieb and Perovskite Lattices
- Simulation and detection of Dirac fermions with cold atoms in an optical lattice
- Theory of nonlinear Landau-Zener tunneling
- Spin Hall effects for cold atoms in a light induced gauge potential
- Experimental observation of bulk and edge transport in photonic Lieb lattices
- Exotic electronic states in the world of flat bands: from theory to material
- Self-induced topological transitions and edge states supported by nonlinear staggered potentials
- Non-linear second-order topological insulators
- Dirac-point engineering and topological phase transitions in honeycomb optical lattices
- Quantum phase transition to unconventional multi-orbital superfluidity in optical lattices
- Mean-field dynamics of a Bose-Einstein condensate in a time-dependent triple-well trap: Nonlinear eigenstates, Landau-Zener models and STIRAP
- Probing non-Abelian statistics of Majorana fermions in ultracold atomic superfluid
- Chiral Bogoliubons in Nonlinear Bosonic Systems
- Atomic Landau-Zener tunneling in Fourier-synthesized optical lattices
- Bloch Waves and Bloch Bands of Bose-Einstein Condensates in Optical Lattices
- Loop structure of the lowest Bloch band for a Bose-Einstein condensate
- Simulating Z_2 topological insulators with cold atoms in a one-dimensional optical lattice
- Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice
- Interacting quantum fluid in a polariton topological insulator
- Relativistic quantum effects of Dirac particles simulated by ultracold atoms
- Demonstration of Geometric Landau-Zener Interferometry in a Superconducting Qubit
- Geometry of Bloch states probed by Stückelberg interferometry
- Bose-Einstein Condensate in a Honeycomb Optical Lattice: Fingerprint of Superfluidity at the Dirac Point
- Kagome Lattice from Exciton-Polariton Perspective
- Nonlinear Dirac Cones
- Three-component Ultracold Fermi Gases with Spin-Orbit Coupling
- The Spatial Shape of Avalanches
- Anomalously low magnetoroton energies of the unconventional fractional quantum Hall states of composite fermions
- Topologically nontrivial states in one-dimensional nonlinear bichromatic superlattices