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An Isaac Newton Institute Workshop

Quantum Graphs, their Spectra and Applications

Network models for Bose-Einstein Condensates

Author: Tsampikos Kottos (Wesleyan Univ)

Abstract

We report our progress in studying ultra-cold atoms loaded in one-dimensional waveguides with complicated topology. We discuss the structure and of the resulting stationary wavefunctions and analyze the spectral properties of the corresponding chemical potentials.