The Generic, Incommensurate Transition in the two-dimensional Boson Hubbard Model

Abstract

The generic transition in the boson Hubbard model, occurring at an incommensurate chemical potential, is studied in the link-current representation using the recently developed directed geometrical worm algorithm. We find clear evidence for a multi-peak structure in the energy distribution for finite lattices, usually indicative of a first order phase transition. However, this multi-peak structure is shown to disappear in the thermodynamic limit revealing that the true phase transition is second order. These findings cast doubts over the conclusion drawn in a number of previous works considering the relevance of disorder at this transition.

13 pages, 10 figures

References in corpus (6)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Commensurate Two-Component Bosons in Optical Lattice: Groundstate Phase Diagram
• The Elusive Bose Metal
• Superfluid--Insulator Transition in Commensurate Disordered Bosonic Systems:Large-Scale Worm-Algorithm Simulations
• Cluster Monte Carlo Algorithm for the Quantum Rotor Model
• Directed geometrical worm algorithm applied to the quantum rotor model

Cited by in corpus (17)

• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• Excitation spectra of strongly correlated lattice bosons and polaritons
• Phase diagram and momentum distribution of an interacting Bose gas in a bichromatic lattice
• Quantum and thermal transitions out of the supersolid phase of a 2D quantum antiferromagnet
• The superfluid-insulator transition in the disordered two-dimensional Bose-Hubbard model
• Bose-glass to Superfluid transition in the three-dimensional Bose-Hubbard Model
• Quantum Phase Transitions of Hard-Core Bosons in Background Potentials
• Dynamical critical exponent of the Jaynes-Cummings-Hubbard model
• Quantum critical scaling at a Bose-glass/superfluid transition: theory and experiment on a model quantum magnet
• Absence of single particle Bose-Einstein condensation at low densities for bosons with correlated-hopping
• Monte Carlo algorithms for charged lattice gases
• Boundary conditions in local electrostatics algorithms
• Superfluid to Mott-insulator transition of cold atoms in optical lattices
• Degenerate approach to the mean field Bose- Hubbard Hamiltonian
• Quantum phase transitions in the multiphoton Jaynes-Cummings-Hubbard model
• The generic Mott transition in the sine-Gordon model through an embedded worm algorithm
• Extended Bose-Hubbard Model on Small Grids: Exact Diagonalization and Monte Carlo Studies