Affordable Access

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

Authors
  • Turaev, D
Publication Date
Apr 01, 2016
Source
Spiral - Imperial College Digital Repository
Keywords
License
Unknown

Abstract

It is shown that a periodic emergence and destruction of an additional quantum number leads to an exponential growth of energy of a quantum mechanical system subjected to a slow periodic variation of parameters. The main example is given by systems (e.g., quantum billiards and quantum graphs) with periodically divided configuration space. 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.

Report this publication

Statistics

Seen <100 times