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Nonmonotonicity in the quantum-classical transition: chaos induced by quantum effects
Arie Kapulkin1, Arjendu K Pattanayak
1128 Rockwood Crescent, Thornhill, Ontario L4J 7W1 Canada.
Physical Review Letters
|September 4, 2008
Summary
In a dissipative quantum chaotic system, increasing Planck
Area of Science:
- Quantum mechanics
- Chaos theory
- Quantum dynamics
Background:
- Classical-quantum transition typically shows suppressed chaos with increasing Planck's constant.
- Dissipative quantum systems present unique challenges to understanding this transition.
- The double-well Duffing oscillator is a model system for studying quantum chaos.
Purpose of the Study:
- To investigate the behavior of quantum trajectory dynamics in a dissipative quantum chaotic system.
- To examine the role of the effective Planck's constant in the classical-quantum transition.
- To determine if the transition is monotonic with respect to Planck's constant.
Main Methods:
- Analysis of quantum trajectory dynamics.
- Simulation of the double-well Duffing oscillator.
- Varying the effective Planck's constant to observe system behavior.
Main Results:
- Contrary to classical understanding, increasing Planck's constant initially induced chaotic behavior.
- The classical limit exhibited regular behavior.
- Deeper into the quantum regime, chaos was suppressed, indicating a non-monotonic transition.
Conclusions:
- The classical-quantum transition in this dissipative system is non-monotonic with respect to Planck's constant.
- This finding challenges the conventional understanding of chaos suppression in the classical limit.
- Quantum trajectory dynamics reveal complex behaviors not predicted by classical intuition.
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