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Phys. Rev. Lett. 101, 074101 (2008) [4 pages]

Nonmonotonicity in the Quantum-Classical Transition: Chaos Induced by Quantum Effects

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Arie Kapulkin1 and Arjendu K. Pattanayak2
1128 Rockwood Crescent, Thornhill, Ontario L4J 7W1 Canada
2Department of Physics and Astronomy, Carleton College, Northfield, Minnesota 55057

Received 16 February 2007; published 11 August 2008

The classical-quantum transition for chaotic systems is understood to be accompanied by the suppression of chaotic effects as the relative 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 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 nonmonotonic in .

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.074101
DOI:
10.1103/PhysRevLett.101.074101
PACS:
05.45.Mt, 03.65.Sq

See Also

Comment: Justin Finn, Kurt Jacobs, and Bala Sundaram, Comment on “Nonmonotonicity in the Quantum-Classical Transition: Chaos Induced by Quantum Effects”, Phys. Rev. Lett. 102, 119401 (2009).

Reply: Kyle Kingsbury, Chris Amey, Arie Kapulkin, and Arjendu Pattanayak, Kingsbury et al. Reply:, Phys. Rev. Lett. 102, 119402 (2009).