Contour-time approach to the Bose-Hubbard model in the strong coupling regime: Studying two-point spatio-temporal correlations at the Hartree-Fock-Bogoliubov level
arXiv:1801.01776 · doi:10.1016/j.nuclphysb.2018.02.021
Abstract
We develop a formalism that allows the study of correlations in space and time in both the superfluid and Mott insulating phases of the Bose-Hubbard Model. Specifically, we obtain a two particle irreducible effective action within the contour-time formalism that allows for both equilibrium and out of equilibrium phenomena. We derive equations of motion for both the superfluid order parameter and two-point correlation functions. To assess the accuracy of this formalism, we study the equilibrium solution of the equations of motion and compare our results to existing strong coupling methods as well as exact methods where possible. We discuss applications of this formalism to out of equilibrium situations.
41 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:1606.04117
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- Gaussian quantum fluctuations in the superfluid-Mott phase transition
- Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime
- Out-of-Equilibrium Dynamics in the Two-Component Bose-Hubbard Model
- Excitation spectrum and momentum distribution of the ionic Bose-Hubbard model
- Machine Learning out of equilibrium correlations in the Bose-Hubbard model