Phase Diagram of Bosons in Two-Color Superlattices from Experimental Parameters

Abstract

We study the zero-temperature phase diagram of a gas of bosonic 87-Rb atoms in two-color superlattice potentials starting directly from the experimental parameters, such as wavelengths and intensities of the two lasers generating the superlattice. In a first step, we map the experimental setup to a Bose-Hubbard Hamiltonian with site-dependent parameters through explicit band-structure calculations. In the second step, we solve the many-body problem using the density-matrix renormalization group (DMRG) approach and compute observables such as energy gap, condensate fraction, maximum number fluctuations and visibility of interference fringes. We study the phase diagram as function of the laser intensities s_2 and s_1 as control parameters and show that all relevant quantum phases, i.e. superfluid, Mott-insulator, and quasi Bose-glass phase, and the transitions between them can be investigated through a variation of these intensities alone.

4 pages, 3 figures

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Anderson localization of a non-interacting Bose-Einstein condensate
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Bosons in one-dimensional incommensurate superlattices
• Effect of interactions on the localization of a Bose-Einstein condensate in a quasi-periodic lattice
• Response of Bose gases in time-dependent optical superlattices

Cited by in corpus (7)

• Correlation function of weakly interacting bosons in a disordered lattice
• Topological Properties of Ultracold Bosons in One-Dimensional Quasiperiodic Optical Lattice
• Strongly interacting bosons in multi-chromatic potentials supporting mobility edges: localization, quasi-condensation and expansion dynamics
• Bosons in a two-dimensional bichromatic quasiperiodic potential: Analysis of the disorder in the Bose-Hubbard parameters and phase diagrams
• Excitations in disordered bosonic optical lattices
• Quantum criticality in disordered bosonic optical lattices
• Mott insulator phases of non-locally coupled bosons in bilayer optical superlattices