Quantum Phase Transitions in Cold Atoms and Low Temperature Solids

Introduction to many-body physics in ultracold atomic gases.- Theoretical and experimental techniques used to explore many-body physics in cold atoms, especially optical lattices.- Radio-frequency spectroscopy: broad introduction.- RF spectra: a sum rule approach to trapped bosons in an optical lattice.- RF spectra: multiple peaked spectrum in a homogeneous system.- Radio-frequency spectra at finite temperature, fluctuation response relations, and proposed applications.- RF spectra: summary, conclusions, and the future.- Rotation, inducing gauge fields, and exotic states of matter in cold atoms.- Stirring up fractional quantum Hall puddles.- Incorporating arbitrarily strong on-site correlations into lattice models.- Quantitative calculation of parameters for a model sufficiently general to capture all on-site correlations.- Summary, conclusions, and the future of induced gauge fields and lattices with on-site correlations.- Technique to measure quantum criticality in cold atoms.- Quantum criticality: more detailed information.- Systems other than cold atoms.- Film mediated interactions alter correlations and spectral shifts of hydrogen adsorbed on helium films.- Candidate theories to explain the anomalous spectroscopic signature of atomic H in molecular H2 crystals.-Helium and hydrogen (super?)solids.- Relating Scattering Amplitudes and T-Matrix.- Ward Identities for the RF Spectrum for the Bose-Hubbard Model: Vertex Corrections, Symmetries, and Conservation Laws.