Manipulating the Mott lobes: Optical lattice bosons coupled to an array of atomic quantum dots

Abstract

We analyze quantum phase transitions in a system of optical lattice bosons coupled to an array of atomic quantum dots. Atomic quantum dots are represented by hard-core bosons of different hyperfine species and therefore can be mapped onto pseudospins-1/2. The system parallels the Bose-Hubbard model with an additional assisted tunneling via coupling to the atomic quantum dots. We calculate the phase diagram of the combined system, numerically within the Gutzwiller ansatz and analytically using the mean-field decoupling approximation. The result of the assisted Bose-Hubbard model is that the Mott-superfluid transition still takes place, however, the Mott lobes strongly depend on the system parameters such as the detuning. One can even reverse the usual hierarchy of the lobes with the first lobe becoming the smallest. The phase transition in the bosonic subsystem is accompanied by a magnetization rotation in the pseudospin subsystem with the tilting angle being an effective order parameter. When direct tunneling is taken into account, the Mott lobes can be made disappear and the bosonic subsystem becomes superfluid throughout.

Staggered ground states in an optical lattice

“…Ultracold gases in optical lattices allows for full control of the underlying periodicity and inherently produces no defects. In addition, several techniques also exist that can tune the strength of interaction and correlation processes such as Feshbach resonances [14][15][16][17] and laser assisted tunnelling [18,19]. The standard Bose-Hubbard model is known to be a poor approximation for systems with strong, non-trivial long-range interactions, as can be realised in dipolar atomic species [20][21][22].…”