Phase diagram of the Bose-Hubbard model on a ring-shaped lattice with tunable weak links

Abstract

Motivated by recent experiments on toroidal Bose-Einstein condensates in all-optical traps with tunable weak links, we study the one-dimensional Bose-Hubbard model on a ring-shaped lattice with a small region of weak hopping integrals using quantum Monte Carlo simulations. Besides the usual Mott insulating and superfluid phases, we find a phase which is compressible but non superfluid with a local Mott region. This `local Mott' phase extends in a large region of the phase diagram. These results suggest that the insulating and conducting phases can be tuned by a local parameter which may provide a new insight to the design of atomtronic devices.

5 pages, 5 figures

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• The Stochastic Green Function (SGF) algorithm
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• Bond order solid of two-dimensional dipolar fermions
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• Electronic transport in inhomogeneous quantum wires
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Cited by in corpus (8)

• Coherent superposition of current flows in an Atomtronic Quantum Interference Device
• Criticality and Spin Squeezing in the Rotational Dynamics of a BEC on a Ring Lattice
• Effects of a rotating periodic lattice on coherent quantum states in a ring topology: The case of positive nonlinearity
• A quantum Monte Carlo algorithm for Bose-Hubbard models on arbitrary graphs
• Local Density of the Bose Glass Phase
• Rotation Sensitive Quench and Revival of Coherent Oscillations in a Ring Lattice
• Entangled Collective Spin States of Two Species Ultracold atoms in a Ring
• Theoretical description of atomtronic Josephson junctions in an optical lattice