Topology Induced Macroscopic Quantum Coherence in Josephson Junction Networks

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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10 pages, 7 figures. International Journal of Modern Physics B (2004), in press

Scientific paper

10.1142/S0217979204024318

We argue that Josephson junction networks may be engineered to allow for the emergence of new and robust quantum coherent states. We provide a rather intuitive argument showing how the change in topology may affect the quantum properties of a bosonic particle hopping on a network. As a paradigmatic example, we analyze in detail the quantum and thermodynamic properties of non-interacting bosons hopping on a comb graph. We show how to explicitly compute the inhomogeneities in the distribution of bosons along the comb's fingers, evidencing the effects of the topology induced spatial Bose-Einstein condensation characteristic of the system. We propose an experiment enabling to detect the spatial Bose-Einstein condensation for Josephson networks built on comb graphs.

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