Phase coherence, visibility, and the superfluid--Mott-insulator transition on one-dimensional optical lattices

Abstract

We study the phase coherence and visibility of trapped atomic condensates on one-dimensional optical lattices, by means of quantum Monte-Carlo simulations. We obtain structures in the visibility similar to the kinks recently observed experimentally by Gerbier et.al.[Phy. Rev. Lett. 95, 050404 (2005); Phys. Rev. A 72, 053606 (2005)]. We examine these features in detail and offer a connection to the evolution of the density profiles as the depth of the lattice is increased. Our simulations reveal that as the interaction strength, U, is increased, the evolution of superfluid and Mott-insulating domains stall for finite intervals of U. The density profiles do not change with increasing U. We show here that in one dimension the visibility provides unequivocal signatures of the melting of Mott domains with densities larger than one.

4 pages, 5 figures

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• State diagrams for harmonically trapped bosons in optical lattices
• Interacting Bose gases in quasi-one dimensional optical lattices
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• The Mott insulator phase of the one dimensional Bose-Hubbard model: a high order perturbative study
• Bragg spectroscopy of trapped one dimensional strongly interacting bosons in optical lattices: Probing the cake-structure
• Correlation versus commensurability effects for finite bosonic systems in one-dimensional lattices
• Canonical Trajectories and Critical Coupling of the Bose-Hubbard Hamiltonian in a Harmonic Trap
• Quantum Monte Carlo study of the visibility of one-dimensional Bose-Fermi mixtures
• Quantum localization and bound state formation in Bose-Einstein condensates
• Controlling coherence via tuning of the population imbalance in a bipartite optical lattice
• Signatures of the superfluid to Mott insulator transition in cold bosonic atoms in a one dimensional optical lattice
• Mesoscopic Effects in Quantum Phases of Ultracold Quantum Gases in Optical Lattices
• Bosonic quantum dynamics following a linear interaction quench in finite optical lattices of unit filling
• Disorder-enhanced phase coherence in trapped bosons on optical lattices
• Time of flight observables and the formation of Mott domains of fermions and bosons on optical lattices
• Superfluid-Mott-Insulator Transition in a One-Dimensional Optical Lattice with Double-Well Potentials
• Nature of Intermediate States between Superfluid and Mott insulator for Interacting Bosons in One-dimension with a Harmonic Trapping Potential
• Properties of bosons in a one-dimensional bichromatic optical lattice in the regime of the Sine-Gordon transition: a Worm Algorithm Monte Carlo study
• The influence of sublattice bias on superfluid to Mott insulator transitions
• Entanglement as a topological marker in harmonically confined attractive Fermi-Hubbard chains