Real Life Integrability in Cold Atoms and Other Integrable Beasts
Dr. Aleksandra Zoilkowska (JGU NEUQUAM Research Group)

Cold atom experiments offer a distinctive platform for the investigation of many-body quantum physics, especially in non-equilibrium scenarios. The complexity inherent in these experiments often poses challenges to conventional theoretical methods. Nevertheless, exact analytical solutions become feasible when the underlying theory is integrable. Integrability plays a pivotal role in constraining the dynamics of many-body systems, enabling the derivation of, for instance, precise time-dependent density and velocity profiles after inhomogeneous quenches. This unique characteristic establishes a direct correspondence between theoretical predictions and experimental outcomes.

In this talk, I will delve into the essence of quantum integrability and its efficacy in non-equilibrium many-body calculations, utilizing the framework of Generalized Hydrodynamics. An examination of the Lieb-Liniger Hamiltonian will exemplify how integrability has been applied in cold atom setups, resulting in the experimental realization of Quantum Newton's Cradle. Furthermore, I will draw upon my own research to provide insights into other quantum ''beasts'' emerging in out-of-equilibrium physics, rooted in an integrable theory known as the Homogeneous Sine-Gordon Model.