Titlebook: Quantum Phase Transitions in Cold Atoms and Low Temperature Solids; Kaden Richard Alan Hazzard Book 2011 Springer Science+Business Media,

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Incorporating Arbitrarily Strong On-Site Correlations into Lattice Models,e limit where particles were unable to tunnel between sites on experimentally relevant timescales. One motivation for this chapter is to construct a theory of deep lattices that are nevertheless weak enough to allow particle tunneling between sites (analogous to the Bose-Hubbard limit of bosons in a

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Summary, Conclusions, and the Future of Induced Gauge Fields and Lattices with On-Site Correlations more recently become capable of approaching exotic states. The (former) Chu group have created fractional quantum Hall puddles in a lattice, using methods similar to those discussed in Chap. 9 (N. Gemelke, private communication).

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Systems Other than Cold Atoms, this has largely been in low temperature fluids and solids. The following chapters discuss some results I’ve obtained on these systems: collisional properties of nearly-degenerate spin-polarized hydrogen adsorbed on helium films (Chap. 16), anomalous behavior of atomic hydrogen defects in molecular

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Monotonous

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Helium and Hydrogen (super?)Solids,ns, grain boundaries, and amorphous regions—but develops a picture of the macroscopic, experimental properties of the system starting from these microscopic considerations. The essence of the idea is that superflow may exist in large disordered regions, and that the supersolid feature observed in to

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Incorporating Arbitrarily Strong On-Site Correlations into Lattice Models,ard model: there are globally insulating phases with fractional quantum Hall puddles at each site and no coherence between them occupying “Mott lobes” in the chemical potential-lattice depth phase diagram, and a superfluid phase with coherence between the fractional quantum Halls states at each site