dorsal/arxiv
View SchemaNon-monotonicity in the quantum-classical transition: Chaos induced by quantum effects
| Authors | Arie Kapulkin, Arjendu K. Pattanayak |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702174 |
| URL | https://arxiv.org/abs/quant-ph/0702174 |
| DOI | 10.1103/PhysRevLett.101.074101 |
Abstract
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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"abstract": "The transition from classical to quantum behavior for chaotic systems is\nunderstood to be accompanied by the suppression of chaotic effects as the\nrelative size of $\\hbar$ is increased. We show evidence to the contrary in the\nbehavior of the quantum trajectory dynamics of a dissipative quantum chaotic\nsystem, the double-well Duffing oscillator. The classical limit in the case\nconsidered has regular behavior, but as the effective $\\hbar$ is increased we\nsee chaotic behavior. This chaos then disappears deeper into the quantum\nregime, which means that the quantum-classical transition in this case is\nnon-monotonic in $\\hbar$.",
"arxiv_id": "quant-ph/0702174",
"authors": [
"Arie Kapulkin",
"Arjendu K. Pattanayak"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.101.074101",
"title": "Non-monotonicity in the quantum-classical transition: Chaos induced by quantum effects",
"url": "https://arxiv.org/abs/quant-ph/0702174"
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