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Updated: Mar 19, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Exponential energy growth due to slow parameter oscillations in quantum mechanical systems
1Imperial College, London SW7 2AZ, United Kingdom and Lobachevsky University of Nizhni Novgorod, pr. Gagarina 23, 603950, Nizhny Novgorod, Russia.
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.
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