Cold Physics is Hot Topic

Robert Seiringer

Masaya Nakagawa, Norio Kawakami

Topological properties of matter are one of hot topics in condensed matter physics. Recently, these concepts are extended to non-equilibrium systems, especially periodically driven systems. Here we study such non-equilibrium topological quantum phenomena in cold atomic systems in twodimensional optical lattices. First we show results on non-interacting atoms, and then focus on interaction effects on the non-equilibrium topological phases based on time-dependent Schrieffer-Wolfftype perturbation theory.

J. T. Tuoriniemi

Robert Seiringer

We present an overview of mathematical results on the low temperature properties of dilute quantum gases, which have been obtained in the past few years. The presentation includes a discussion of Bose–Einstein condensation, the excitation spectrum for trapped gases and its relation to superfluidity, as well as the appearance of quantized vortices in rotating systems. All these properties are intensely being studied in current experiments on cold atomic gases. We will give a description of the mathematics involved in understanding these phenomena, starting from the underlying many-body Schrödinger equation.

Josh Roeloffs