Thermodynamics of Adiabatically Loaded Cold Bosons in the Mott Insulating Phase of One-Dimensional Optical Lattices

TL;DR

This paper investigates the thermodynamic behavior of bosons in the Mott insulating phase of one-dimensional optical lattices, revealing how doping levels significantly influence temperature and employing various theoretical approaches for analysis.

Contribution

It provides a comprehensive analysis of the thermodynamics of bosons in the Mott insulator phase, highlighting the impact of doping on temperature and introducing a novel combination of methods for this study.

Findings

Temperature depends strongly on doping level.

At zero doping, temperature is of the order of the Hubbard interaction.

Finite doping causes temperature to rise to the order of the hopping parameter.

Abstract

In this work we give a consistent picture of the thermodynamic properties of bosons in the Mott insulating phase when loaded adiabatically into one-dimensional optical lattices. We find a crucial dependence of the temperature in the optical lattice on the doping level of the Mott insulator. In the undoped case, the temperature is of the order of the large onsite Hubbard interaction. In contrast, at a finite doping level the temperature jumps almost immediately to the order of the small hopping parameter. These two situations are investigated on the one hand by considering limiting cases like the atomic limit and the case of free fermions. On the other hand, they are examined using a quasi-particle conserving continuous unitary transformation extended by an approximate thermodynamics for hardcore particles.