Exponential energy growth due to slow parameter oscillations in quantum mechanical systems

開催日時
2018/04/02 月 14:00 - 17:00
場所
6号館609号室
講演者
Dmitry Turaev
講演者所属
Imperial College London
概要

We use a classical adiabatic theorem to investigate the behavior of the Schroedinger equation in the domain whose shape varies slowly with time for the case where the domain is divided into two disjoint components during a part of the period of the slow oscillation. We show that this process is characterized by a periodic emergence and destruction of a certain additional quantum number and leads to an exponential growth of energy of the quantum mechanical system in question. In special cases, the process can also lead to a long period of cooling that precedes the acceleration, and to the desertion of the states with a particular value of the quantum number.