Non-monotonicity in the quantum-classical transition: Chaos induced by quantum effects

Details Non-monotonicity in the quantum-classical transition: Chaos induced by quantum effects Non-monotonicity in the quantum-classical transition: Chaos induced by quantum effects

2007-02-16

arxiv.org/abs/quant-ph/0702174v2

Physics

Quantum Physics

4 pages; presentation modified significantly to demonstrate that quantum effects are indeed responsible for the `anomalous' ch

Scientific paper

10.1103/PhysRevLett.101.074101

The transition from classical to quantum behavior for chaotic systems is understood to be accompanied by the suppression of chaotic effects as the relative size of $\hbar$ is increased. We show evidence to the contrary in the behavior of the quantum trajectory dynamics of a dissipative quantum chaotic system, the double-well Duffing oscillator. The classical limit in the case considered has regular behavior, but as the effective $\hbar$ is increased we see chaotic behavior. This chaos then disappears deeper into the quantum regime, which means that the quantum-classical transition in this case is non-monotonic in $\hbar$.

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