When Fermi meets Bose: Strongly interacting few-body systems in one dimension
Artem Volosniev
(Institute of Science and Technology, Vienna, Austria)
Duality between strongly interacting Bose systems and ideal Fermi gases in one dimension provides a rare opportunity of understanding quantum many-body problem in the limit of strong interactions. Recently, it motivated a number of experimental and theoretical works in cold-atom physics. I will review this progress with the focus on relevant few-body physics, which can shape our understanding of few-to-many-body transition in quantum physics. I will briefly explain how to find a solution to the corresponding wave equation, and propose experimental set-ups motivated by this solution.