Treating many-body systems of identical particles by means of classical mechanics


Joint Seminar “Theory of Solids” and “Few-Body Systems”

Date and Time: Thursday, 17 May 2018, at 11:30 AM

Venue: Blokhintsev Hall (4th floor), Bogoliubov Laboratory of Theoretical Physics

Seminar topic: “Treating many-body systems of identical particles by means of classical mechanics”

Speaker: Andrey Kolovsky (L.V. Kirensky Institute of Physics, Krasnoyarsk, Russia)


Many-body physics of identical particles is commonly believed to be a sovereign territory of Quantum Mechanics. The aim of this talk is to show that it is actually not the case and one gets useful insights into a quantum many-body system by using the theory of nonlinear dynamical systems. In the talk I focus on one of paradigm models of many-body physics – the Bose-Hubbard model which, in particular, describes interacting ultracold Bose atoms in an optical lattice. After preliminary, purely quantum analysis of the system we introduce a classical counterpart of the Bose-Hubbard model and its governing equations of motion. We analyze these equations for the problem of Bloch oscillations of cold atoms where a number of experimental results are available and compare these results with those obtained by using pure classical arguments.