State diagram for continuous quasi-one dimensional systems in optical lattices
arXiv:1409.6973 · doi:10.1103/PhysRevA.90.013630
Abstract
We studied the appearance of Mott insulator domains of hard sphere bosons on quasi one-dimensional optical lattices when an harmonic trap was superimposed along the main axis of the system. Instead of the standard approximation represented by the Bose-Hubbard model, we described those arrangements by continuous Hamiltonians that depended on the same parameters as the experimental setups. We found that for a given trap the optical potential depth, , needed to create a single connected Mott domain decreased with the number of atoms loaded on the lattice. If the confinement was large enough, it reached a minimum when, in absence of any optical lattice, the atom density at the center of the trap was the equivalent of one particle per optical well. For larger densities, the creation of that single domain proceeded via an intermediate shell structure in which Mott domains alternated with superfluid ones.
arXiv comment9 figures
References in corpus (25)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Mott Domains of Bosons Confined on Optical Lattices
- Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
- Monte Carlo Analysis of a New Interatomic Potential for He
- Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
- Formation of spatial shell structures in the superfluid to Mott insulator transition
- Ground state of a homogeneous Bose gas: a diffusion Monte Carlo calculation
- Commensurate-incommensurate transition of cold atoms in an optical lattice
- Exploring correlated 1D Bose gases from the superfluid to the Mott-insulator state by inelastic light scattering
- State diagrams for harmonically trapped bosons in optical lattices
- Critical temperature of interacting Bose gases in two and three dimensions
- Direct mapping of the finite temperature phase diagram of strongly correlated quantum models
- Quantum Monte Carlo study of the 3D-1D crossover for a trapped Bose gas
- Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
- Fermionization of a bosonic gas under highly-elongated confinement: A diffusion quantum Monte Carlo study
- Path-Integral Ground-State and Superfluid Hydrodynamics of a Bosonic Gas of Hard Spheres
- Bosonic superfluid-insulator transition in continuous space
- Ground-State Properties of a One-Dimensional System of Hard Rods
- Canonical Trajectories and Critical Coupling of the Bose-Hubbard Hamiltonian in a Harmonic Trap
- Signatures of the superfluid to Mott insulator transition in cold bosonic atoms in a one dimensional optical lattice
- A continuous model for bosonic hard spheres in quasi one-dimensional optical lattices
- Zero-temperature phase diagram of hard sphere bosons in asymmetric three dimensional optical lattices