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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.
Physical Review. E
|June 15, 2016
Summary
Periodic changes in quantum numbers cause exponential energy growth in quantum systems. This phenomenon, observed in quantum billiards and graphs, can also lead to cooling periods and state desertion.
Area of Science:
- Quantum mechanics
- Theoretical physics
Background:
- Quantum systems exhibit complex behaviors under external influences.
- Periodic variations in parameters can lead to non-intuitive dynamics.
Purpose of the Study:
- To investigate the impact of periodically emerging and destructing quantum numbers on quantum system energy.
- To analyze systems with periodically divided configuration spaces.
Main Methods:
- Theoretical analysis of quantum mechanical systems.
- Examination of systems like quantum billiards and quantum graphs.
Main Results:
- Periodic emergence/destruction of quantum numbers causes exponential energy growth.
- Observed phenomena include pre-acceleration cooling and state desertion.
- The effect is prominent in systems with periodically divided configuration space.
Conclusions:
- The study reveals a mechanism for rapid energy increase in quantum systems.
- This finding has implications for understanding quantum dynamics in periodically driven systems.
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