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

Arie Kapulkin and Arjendu K. Pattanayak
Phys. Rev. Lett. 101, 074101 – Published 11 August 2008

Abstract

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 .

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  • Received 16 February 2007

DOI:https://doi.org/10.1103/PhysRevLett.101.074101

©2008 American Physical Society

Authors & Affiliations

Arie Kapulkin1 and Arjendu K. Pattanayak2

  • 1128 Rockwood Crescent, Thornhill, Ontario L4J 7W1 Canada
  • 2Department of Physics and Astronomy, Carleton College, Northfield, Minnesota 55057

Comments & Replies

Comment on “Nonmonotonicity in the Quantum-Classical Transition: Chaos Induced by Quantum Effects”

Justin Finn, Kurt Jacobs, and Bala Sundaram
Phys. Rev. Lett. 102, 119401 (2009)

Kingsbury et al. Reply:

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

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Vol. 101, Iss. 7 — 15 August 2008

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