Treating many-body systems of identical particles by means of classical mechanics
Семинары
Совместный семинар отделов «Малочастичные системы» и «Теория твердых тел»
Дата и время: четверг, 17 мая 2018 г., в 11:30
Место: Конференц-зал им. Блохинцева (4-й этаж), Лаборатория теоретической физики им. Н.Н. Боголюбова
Тема семинара: «Treating many-body systems of identical particles by means of classical mechanics»
Докладчик: Андрей Коловский (Институт физики им. Л.В. Киренского, Красноярск)
Аннотация:
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.