The Mott insulator phase of the one dimensional Bose-Hubbard model: a high order perturbative study
Bogdan Damski, Jakub Zakrzewski
Abstract
The one dimensional Bose-Hubbard model at a unit filling factor is studied by means of a very high order symbolic perturbative expansion. Analytical expressions are derived for the ground state quantities such as energy per site, variance of on-site occupation, and different correlation functions. These findings are compared to numerics and good agreement is found in the Mott insulator phase. Our results provide analytical approximations to important observables in the Mott phase, and are also of direct relevance to future experiments with ultra cold atomic gases placed in optical lattices. We also discuss the symmetry of the Bose-Hubbard model associated with the sign change of the tunneling coupling.
Create a lesson
Related papers
Chiral-symmetry breaking and degeneracy in Koch fractal geometries
L. L. Lage, A. Latgé
Dynamical backaction in nanoscale superfluid electromechanics
Marek Talíř, Filip Novotný, Balázs Szalai et al.
Magnonic Combinatorial Memory based on a network of coupled active ring circuits
Mykhaylo Balinskiy, Paulo Julio, Jeffrey Vargas et al.
Non-Hermitian Skin Effect from Radiative Coupling in a Reciprocal Chiral Medium
Kin Hung Fung, Changhao Meng, Yixin Xiao et al.
Landau Theory for Commensurate Charge-Density Waves Coupled to Uniform Lattice Deformation
Keiji Nakatsugawa, Toshiyuki Fujii, Satoshi Tanda
PCB-Integrated CoPt Micromagnets for Magnetophoresis
Melissa Mitchell, Henrique Mira, Simon Bending et al.