Mixtures of ultra-cold atoms in 1D disordered potentials
arXiv:1111.2706 · doi:10.1103/PhysRevA.85.023625
Abstract
We study interacting 1D two-component mixtures of cold atoms in a random potential, and extend the results reported earlier [{\it Phys. Rev. Lett.} {\bf 105}, 115301 (2010)]. We construct the phase diagram of a disordered Bose-Fermi mixture as a function of the strength of the Bose-Bose and Bose-Fermi interactions, and the ratio of the bosonic sound velocity and the Fermi velocity. Performing renormalization group and variational calculations, three phases are identified: (i) a fully delocalized two-component Luttinger liquid with superfluid bosons and fermions (ii) a fully localized phase with both components pinned by disorder, and (iii) an intermediate phase where fermions are localized but bosons are superfluid. Within the variational approach, each phase corresponds to a different level of replica symmetry breaking. In the fully localized phase we find that the bosonic and fermionic localization lengths can largely differ. We also compute the momentum distribution as well as the structure factor of the atoms (both experimentally accessible), and discuss how the three phases can be experimentally distinguished.
30 pages, 17 figures. Submitted to PRA
References in corpus (28)
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Bosonizing one-dimensional cold atomic gases
- Three-Dimensional Anderson Localization of Ultracold Matter
- Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
- Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
- Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
- Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
- Strongly interacting bosons in a disordered optical lattice
- Instabilities in binary mixtures of one-dimensional quantum degenerate gases
- Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
- Interaction-driven Dynamics of 40K / 87Rb Fermi-Bose Gas Mixtures in the Large Particle Number Limit
- Ultracold Bose Gases in 1D Disorder: From Lifshits Glass to Bose-Einstein Condensate
- Interaction and filling induced quantum phases of dual Mott insulators of bosons and fermions
- One-dimensional Anderson localization in certain correlated random potentials
- Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates
- Field Induced Supersolid Phase in Spin-One Heisenberg Models
- Bogoliubov Excitations of Disordered Bose-Einstein Condensates
- Momentum-resolved study of an array of 1D strongly phase-fluctuating Bose gases
- Phase diagram of hard-core bosons on clean and disordered 2-leg ladders: Mott insulator - Luttinger liquid - Bose glass
- Anisotropic 2D diffusive expansion of ultra-cold atoms in a disordered potential
- Boson-Fermion pairing in Bose-Fermi mixtures on 1D optical lattices
- Supersolids in one dimensional Bose Fermi mixtures
- The superfluid insulator transition of ultra-cold bosons in disordered 1d traps
- Superfluid-insulator transition in Fermi-Bose mixtures and the orthogonality catastrophe
- Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
- Mott insulators and correlated superfluids in ultracold Bose-Fermi mixtures
- Competition of superfluidity and density waves in one-dimensional Bose-Fermi mixtures
- Disordered one-dimensional Bose-Fermi mixtures: The Bose-Fermi glass