Anyonic Molecules in Atomic Fractional Quantum Hall Liquids: A Quantitative Probe of Fractional Charge and Anyonic Statistics by Unknown instant download

Anyonic Molecules in Atomic Fractional Quantum Hall Liquids: A Quantitative Probe of Fractional Charge and Anyonic Statistics by Unknown instant download

We study the quantum dynamics of massive impurities embedded in a strongly interacting, twodimensional atomic gas driven into the fractional quantum Hall (FQH) regime under the effect of asynthetic magnetic field. For suitable values of the atom-impurity interaction strength, each impurity cancapture one or more quasihole excitations of the FQH liquid, forming a bound molecular state with novelphysical properties. An effective Hamiltonian for such anyonic molecules is derived within the BornOppenheimer approximation, which provides renormalized values for their effective mass, charge, andstatistics by combining the finite mass of the impurity with the fractional charge and statistics of thequasiholes. The renormalized mass and charge of a single molecule can be extracted from the cyclotronorbit that it describes as a free particle in a magnetic field. The anyonic statistics introduces a statisticalphase between the direct and exchange scattering channels of a pair of indistinguishable collidingmolecules and can be measured from the angular position of the interference fringes in the differentialscattering cross section. Implementations of such schemes beyond cold atomic gases are highlighted—inparticular, in photonic systems.DOI: 10.1103/PhysRevX.10.041058 Subject Areas: Atomic and Molecular Physics,Strongly Correlated Materials