Localization of a Bose-Fermi mixture in a bichromatic optical lattice
arXiv:1108.0691 · doi:10.1103/PhysRevA.84.023632
Abstract
We study the localization of a cigar-shaped super-fluid Bose-Fermi mixture in a quasi-periodic bichromatic optical lattice (OL) for inter-species attraction and intra-species repulsion. The mixture is described by the Gross-Pitaevskii equation for the bosons, coupled to a hydrodynamic mean-field equation for fermions at unitarity. We confirm the existence of the symbiotic localized states in the Bose-Fermi mixture and Anderson localization of the Bose component in the interacting Bose-Fermi mixture on a bichromatic OL. The phase diagram in boson and fermion numbers showing the regions of the symbiotic and Anderson localization of the Bose component is presented. Finally, the stability of symbiotic and Anderson localized states is established under small perturbations.
References in corpus (18)
- Theory of ultracold Fermi gases
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Tuning the scattering length with an optically induced Feshbach resonance
- Destruction of Anderson localization by a weak nonlinearity
- Universal spreading of wavepackets in disordered nonlinear systems
- Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
- Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
- Deformation of a Trapped Fermi Gas with Unequal Spin Populations
- Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
- Thermodynamic Measurements in a Strongly Interacting Fermi Gas
- Superfluid Bose-Fermi mixture from weak-coupling to unitarity
- Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates
- Effect of interactions on the localization of a Bose-Einstein condensate in a quasi-periodic lattice
- Disorder-induced trapping versus Anderson localization in Bose-Einstein condensates expanding in disordered potentials
- One-dimensional superfluid Bose-Fermi mixture: mixing, demixing and bright solitons
- Two-component gap solitons with linear interconversion
- Gap solitons in superfluid boson-fermion mixtures
- Universal behavior of a trapped Fermi superfluid in the BCS-unitarity crossover
Cited by in corpus (11)
- Localization of a spin-orbit coupled Bose-Einstein condensate in a bichromatic optical lattice
- Photon-atomic solitons in a Bose-Einstein condensate trapped in a soft optical lattice
- Matter-wave localization in a weakly perturbed optical lattice
- Quench induced chaotic dynamics of Anderson localized interacting Bose-Einstein condensates in one dimension
- Dimensional reduction and localization of a Bose-Einstein condensate in a quasi-1D bichromatic optical lattice
- Nonclassical properties and Anderson localization of quantum states in coupled waveguides
- Long-time averaged dynamics of a Bose-Einstein condensate in a bichromatic optical lattice with external harmonic confinement
- Crow instability in unitary Fermi gas
- Correlations and synchronization in a Bose-Fermi mixture
- Vortex-lattice structures in rotating Bose-Fermi superfluid mixtures
- Tilt-Induced Localization in Interacting Bose-Einstein Condensates for Quantum Sensing