Bose-Hubbard Model

Long Cycles in the Infinite-Range-Hopping Bose-Hubbard Model with Hard Cores

In this paper we study the relation between long cycles and Bose-Condensation in the Infinite range Bose-Hubbard Model with a hard core interaction. We calculate the density of particles on long cycles in the thermodynamic limit and find that the existence of a non-zero long cycle density coincides with the occurrence of Bose-Einstein condensation but this density is not equal to that of the Bo...

- Algebraic Approach to the Bose - Hubbard Model

We give a new derivation of the variational formula for the pressure of the long-range-hopping Bose-Hubbard model, which was first proved in [1]. The proof is analogous to that of a theorem on noncommutative large deviations introduced by Petz, Raggio and Verbeure [2] and could similarly be extended to more general Bose system of mean-field type. We apply this formalism to prove Bose-Einstein c...

Bose-Hubbard Model: Relation Between Driven-Dissipative Steady-States and Equilibrium Quantum Phases

Quantum dynamics of lattice states with compact support in an extended Bose-Hubbard model

Mott-insulator phase of the one-dimensional Bose-Hubbard model: A high-order perturbative study

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 correlation functions: âj âj+r and n̂jn̂j+r . These findings are compared to numerics and good agreement is found in the Mott insulat...