Variational ansatz for the superfluid Mott-insulator transition in optical lattices

Abstract

We develop a variational wave function for the ground state of a one-dimensional bosonic lattice gas. The variational theory is initally developed for the quantum rotor model and later on extended to the Bose-Hubbard model. This theory is compared with quasi-exact numerical results obtained by Density Matrix Renormalization Group (DMRG) studies and with results from other analytical approximations. Our approach accurately gives local properties for strong and weak interactions, and it also describes the crossover from the superfluid phase to the Mott-insulator phase.

Entirely new and more precise variational method

References in corpus (10)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Quantum phases in an optical lattice
• The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
• Strong-coupling expansions for the pure and disordered bose Hubbard model
• Creation of a molecular condensate by dynamically melting a Mott-insulator
• Dynamics and Thermodynamics of the Bose-Hubbard model
• Supersolids in the Bose-Hubbard Hamiltonian
• Quantum-Phase Transitions of Interacting Bosons and the Supersolid Phase

Cited by in corpus (16)

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• Probing number squeezing of ultracold atoms across the superfluid-Mott insulator transition
• Observation of Strong Quantum Depletion in a Gaseous Bose-Einstein Condensate
• Bose-Einstein Quantum Phase Transition in an Optical Lattice Model
• Spectral weight redistribution in strongly correlated bosons in optical lattices
• Moiré-Bose-Hubbard model for interlayer excitons in twisted transition metal dichalcogenide heterostructures
• Inhomogeneous atomic Bose-Fermi mixtures in cubic lattices
• Bogoliubov theory of quantum correlations in the time-dependent Bose-Hubbard model
• Slow quench dynamics of Mott-insulating regions in a trapped Bose gas
• Matrix Product States Algorithms and Continuous Systems
• Correlated hopping of bosonic atoms induced by optical lattices
• Finite-temperature effects on the number fluctuation of ultracold atoms across the Superfluid to Mott-insulator transition
• Persistent currents in ultracold gases
• A Quantum Theory of Cold Bosonic Atoms in Optical Lattices
• Matrix product states for $su(2)$ invariant quantum spin chains