Localization and Fractionalization in a Chain of Rotating Atomic Gases
  We describe the phase diagram and thermodynamic properties of a chain of axially-tunnel-coupled fractional quantum Hall systems realized by rotating a series of optical dipole traps about their center. We demonstrate not only a experimentally feasible pathway to a state describable as a Mott-insulator of composite bosons, but also describe the nature of the coherent states at higher tunnel coupling strength, and identify a series of new superfluid phases with rich behavior. The phase diagram directly reveals not only characteristic features of the few-body systems, including the effective mass of composite particle- and hole-like excitations and their interactions, but emergent properties of the chain also reveal a fundamental mapping between the adiabatic dynamics of two dimensional systems governed by particle braiding and the hydrostatic response of the gas in the conducting phases. 
Jianshi Zhao, Louis Rene Jacome, Craig Price and Nathan Gemelke
cond-mat.quant-gas