Ultracold bosons in disordered superlattices: Mott-insulators induced by tunneling

Abstract

We analyse the phase diagram of ultra-cold bosons in a one-dimensional superlattice potential with disorder using the time evolving block decimation algorithm for infinite sized systems (iTEBD). For degenerate potential energies within the unit cell of the superlattice loophole-shaped insulating phases with non-integer filling emerge with a particle-hole gap proportional to the boson hopping. Adding a small amount of disorder destroys this gap. For not too large disorder the loophole Mott regions detach from the axis of vanishing hopping giving rise to insulating islands. Thus the system shows a transition from a compressible Bose-glass to a Mott-insulating phase with increasing hopping amplitude. We present a straight forward effective model for the dynamics within a unit cell which provides a simple explanation for the emergence of Mott-insulating islands. In particular it gives rather accurate predictions for the inner critical point of the Bose-glass to Mott-insulator transition.

References in corpus (9)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Matrix product states represent ground states faithfully
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• Exact Study of the 1D Boson Hubbard Model with a Superlattice Potential
• Fractional-filling loophole insulator domains for ultracold bosons in optical superlattices
• The one-dimensional Bose-Fermi-Hubbard model in the heavy-fermion limit
• Cell strong coupling perturbative approach to the phase diagram of ultracold bosons in optical superlattices
• Fractional-filling Mott domains in two dimensional optical superlattices

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• Twisted complex superfluids in optical lattices
• Discretized vs. continuous models of p-wave interacting fermions in 1D
• Cluster Gutzwiller study of Bose-Hubbard ladder: ground-state phase diagram and many-body Landau-Zener dynamics
• Generalized Effective Potential Landau Theory for Bosonic Quadratic Superlattices
• Interaction dependent temperature effects in Bose-Fermi mixtures in optical lattices
• Three-body constrained bosons in double-well optical lattice
• Growing quantum states with topological order
• Quantum Effects In Low Temperature Bosonic Systems