Bose Mott-Insulators as Closed Shells

Topological Bose-Mott insulators in a one-dimensional optical superlattice.

We study topological properties of the Bose-Hubbard model with repulsive interactions in a one-dimensional optical superlattice. We find that the Mott insulator states of the single-component (two-component) Bose-Hubbard model under fractional fillings are topological insulators characterized by a nonzero charge (or spin) Chern number with nontrivial edge states. For ultracold atomic experiment...

Title Topological Bose-Mott Insulators in a One-Dimensional Optical Superlattice

Dyon condensation in topological Mott insulators

We consider quantum phase transitions out of topological Mott insulators in which the ground state of the fractionalized excitations (fermionic spinons) is topologically non-trivial. The spinons in topological Mott insulators are coupled to an emergent compact U (1) gauge field with a so-called ‘axion’ term. We study the confinement transitions from the topological Mott insulator to broken symm...

Imaging the Mott insulator shells by using atomic clock shifts.

Microwave spectroscopy was used to probe the superfluid-Mott insulator transition of a Bose-Einstein condensate in a three-dimensional optical lattice. By using density-dependent transition frequency shifts, we were able to spectroscopically distinguish sites with different occupation numbers and to directly image sites with occupation numbers from one to five, revealing the shell structure of ...

Strong-coupling perturbation theory for the extended Bose-Hubbard model

We develop a strong-coupling perturbation theory for the extended Bose-Hubbard model with on-site and nearest-neighbor boson-boson repulsions on d 1 -dimensional hypercubic lattices. Analytical expressions for the ground-state phase boundaries between the incompressible Mott or charge-density-wave insulators and the compressible superfluid or supersolid phases are derived up to third order in t...