Conductivity of strongly correlated bosons in optical lattices in an Abelian synthetic magnetic field

Abstract

Topological phase engineering of neutral bosons loaded in an optical lattice opens a new window for manipulating of transport phenomena in such systems. Exploiting the Bose Hubbard model and using the magnetic Kubo formula proposed in this paper we show that the optical conductivity abruptly changes for different flux densities in the Mott phase. Especially, when the frequency of the applied field corresponds to the on-site boson interaction energy, we observe insulator or metallic behavior for a given Hofstadter spectrum. We also prove, that for different synthetic magnetic field configurations, the critical conductivity at the tip of the lobe is non-universal and depends on the energy minima of the spectrum. In the case of $1/2$ and $1/3$ flux per plaquette, our results are in good agreement with those of the previous Monte Carlo (MC) study. Moreover, we show that for half magnetic-flux through the cell the critical conductivity suddenly changes in the presence of a superlattice potential with uniaxial periodicity.

References in corpus (9)

• Non-Abelian Anyons and Topological Quantum Computation
• Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
• A semi-Dirac point in the Hofstadter spectrum
• Interacting Hofstadter spectrum of atoms in an artificial gauge field
• Bogoliubov theory of interacting bosons on a lattice in a synthetic magnetic field
• Magnetothermoelectric Response near Quantum Critical Points
• Time-of-flight patterns of ultra-cold bosons in optical lattices in various Abelian artificial magnetic field gauges
• Quantum Monte Carlo study of a magnetic-field-driven 2D superconductor-insulator transition
• Synthetic magnetic field effects on neutral bosonic condensates in quasi three-dimensional anisotropic layered structures

Cited by in corpus (1)

• Magnetic flux disorder and superconductor-insulator transition in nanohole thin films