I the first half of this talk I will discuss our recent work on mean field studies of quantum spin ice. In the second half I will talk about our other recent results on non-equilibrium transport in a quasi-periodic system.
1) Spin-ice is a phase of matter where due to an interplay of strong interaction and geometric structure, the atomic magnetic moments mimic the frustration of hydrogen ion positions in water ice. YbTO is known as one of the leading candidates for a quantum-spin-ice phase realization. In this this talk I will describe recent progresses in our mean field theory study of a generic quantum spin ice, inspired by recent experimental works on YbTO. I will also give an overview of our future plan to study the possible stable spin liquid phases in such class of materials.
2) Quantum particles in a Quasi-periodic (neither random nor periodic) potential shows an unique metal-insulator transition (MIT) even in 1D by tuning of the potential strength. This phenomenon has received a lot of attention recently due to a controllable experimental realization in a cold atom set up. In this talk I will discuss our recent results on understanding the non-equilibrium quantum dynamics and transport in such a quasi-periodic system.