Exact Solution of the Infinite-Range-Hopping Bose–Hubbard Model

    loading  Checking for direct PDF access through Ovid


The thermodynamic behavior of the Bose–Hubbard model is solved for any temperature and any chemical potential. It is found that there is a range of critical coupling strengths λc1 < λc2 < λc3 < … in this model. For coupling strengths between λc,k and λc,k+1, Bose–Einstein condensation is suppressed at densities near the integer values ρ = 1,…,k with an energy gap. This is known as a Mott insulator phase and was previously shown only for zero temperature. In the context of ultra-cold atoms, this phenomenon was experimentally observed in 2002(1) but, in the Bose–Hubbard model, it manifests itself also in the pressure-volume diagram at high pressures. It is suggested that this phenomenon persists for finite-range hopping and might also be experimentally observable.

    loading  Loading Related Articles