Edge Transport in 2D Cold Atom Optical Lattices

Abstract

We theoretically study the observable response of edge currents in two dimensional cold atom optical lattices. As an example we use Gutzwiller mean-field theory to relate persistent edge currents surrounding a Mott insulator in a slowly rotating trapped Bose-Hubbard system to time of flight measurements. We briefly discuss an application, the detection of Chern number using edge currents of a topologically ordered optical lattice insulator.

References in corpus (6)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
• Observation of Vortex Pinning in Bose-Einstein Condensates
• Vortex configurations of bosons in an optical lattice
• Quantized Vortex States of Strongly Interacting Bosons in a Rotating Optical Lattice

Cited by in corpus (7)

• Orbital analogue of quantum anomalous Hall effect in $p$-band systems
• Topological Insulators and Metals in Atomic Optical Lattices
• Discerning Incompressible and Compressible Phases of Cold Atoms in Optical Lattices
• Phase Boundary of the Boson Mott Insulator in a Rotating Optical Lattice
• Vortices near the Mott phase of a trapped Bose-Einstein condensate
• Rotating states for trapped bosons in an optical lattice
• Vortices in rotating optical lattices: commensurability, hysteresis, and proximity to the Mott State