Mott transition in lattice boson models
Roberto Fernandez, Juerg Froehlich, Daniel Ueltschi
TL;DR
This paper rigorously analyzes the Mott insulator to Bose-Einstein condensate transition in a lattice boson model, establishing the critical line at lowest order in tunneling amplitude.
Contribution
It provides a mathematically rigorous perturbation theory approach to determine the critical line in the hard-core Bose-Hubbard model.
Findings
Critical line established to lowest order in tunneling amplitude
Rigorous perturbation theory applied to lattice boson models
Insights into Mott insulator to condensate transition
Abstract
We use mathematically rigorous perturbation theory to study the transition between the Mott insulator and the conjectured Bose-Einstein condensate in a hard-core Bose-Hubbard model. The critical line is established to lowest order in the tunneling amplitude.
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