Quantum rotor description of the Mott-insulator transition in the Bose-Hubbard model

Abstract

We present the novel approach to the Bose-Hubbard model using the $\mathrm{U}(1)$ quantum rotor description. The effective action formalism allows us to formulate a problem in the phase only action and obtain an analytical formulas for the critical lines. We show that the nontrivial $\mathrm{U}(1)$ phase field configurations have an impact on the phase diagrams. The topological character of the quantum field is governed by terms of the integer charges - winding numbers. The comparison presented results to recently obtained quantum Monte Carlo numerical calculations suggests that the competition between quantum effects in strongly interacting boson systems is correctly captured by our model.

accepted to PRB

References in corpus (4)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Generalized Directed Loop Method for Quantum Monte Carlo Simulations
• Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
• The Mott insulator phase of the one dimensional Bose-Hubbard model: a high order perturbative study

Cited by in corpus (14)

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• Superfluid to Mott-insulator transition of hardcore bosons in a superlattice
• Zero-temperature phase diagram of Bose-Fermi gaseous mixtures in optical lattices
• Mott transition in bosonic systems: Insights from the variational approach
• Finite-temperature effects on the superfluid Bose-Einstein condensation of confined ultracold atoms in three-dimensional optical lattices
• Reference data for phase diagrams of triangular and hexagonal bosonic lattices
• Frustration effects in rapidly rotating square and triangular optical lattices
• Time-of-flight patterns of ultra-cold bosons in optical lattices in various Abelian artificial magnetic field gauges
• Synthetic magnetic field effects on neutral bosonic condensates in quasi three-dimensional anisotropic layered structures
• Quantum critical properties of Bose-Hubbard models
• Superfluid to Mott-insulator transition in an anizotropic two--dimensional optical lattice
• Strong-coupling RPA theory of a Bose gas near the superfluid--Mott-insulator transition: universal thermodynamics and two-body contact
• Sign reversal of the boson-boson interaction potential in planar Bose-Fermi mixtures under a synthetic magnetic field
• Finite-temperature quantum rotor approach for ultracold bosons in optical lattices