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P. Glicofridis, R. Ashoori, and M. Shayegan, 2000, Topographic Mapping of the Quantum Hall Liquid using a Few-Electron Bubble, Science 289, 90. Fisher, M. P. , and D. H. Lee, 1989, Phys. Rev. Lett. 63, 903. , and S. H. Shenker, 1979, Phase diagrams of lattice gauge theories with Higgs fields, Phys. Rev. D 19, 3682. , and C. King, 1989, Comm. Math. Phys. 126, 167. , and A. Zee, 1991, Nucl. Phys. B 364, 517. 213 Ginzburg, V. , and L. D. Landau, 1950, J. exp. theor. Phys. 20, 1064. , 1984, Phys.

50) 1 where α = 2π J/2g is the artificial fine structure constant. The mass of the charged boson m is 2 −1 (8tl ) . An artificial atom (a bound state of two positive and negative charged bosons) has an energy level spacing 14 mc2a α2 and a size of order 2/αmca . In the following, we will discuss one experiment that can detect some of the above properties in the 2D system. Let us assume the rotor carries an electric dipole moment. c. to the rotor. Such a coupling can create a pair of positive and negative charged bosons.

Kivelson, 1989, Phys. Rev. Lett. 62, 82.

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