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Pattanayak AK, Sundaram B, Greenbaum BD. Parameter scaling in the decoherent quantum-classical transition for chaotic systems. Phys Rev Lett. 2003;90(1):014103doi: 10.1103/PhysRevLett.90.014103.
Pattanayak, A. K., Sundaram, B., & Greenbaum, B. D. (2003). Parameter scaling in the decoherent quantum-classical transition for chaotic systems. Physical review letters, 90(1), 014103. https://doi.org/10.1103/PhysRevLett.90.014103
Pattanayak, Arjendu K, et al. "Parameter scaling in the decoherent quantum-classical transition for chaotic systems." Physical review letters vol. 90,1 (2003): 014103. doi: https://doi.org/10.1103/PhysRevLett.90.014103
Pattanayak AK, Sundaram B, Greenbaum BD. Parameter scaling in the decoherent quantum-classical transition for chaotic systems. Phys Rev Lett. 2003 Jan 10;90(1):014103. doi: 10.1103/PhysRevLett.90.014103. Epub 2003 Jan 10. PMID: 12570616.
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Phys Rev Lett. 2003 Jan 10;90(1):014103. doi: 10.1103/PhysRevLett.90.014103. Epub 2003 Jan 10.

Parameter scaling in the decoherent quantum-classical transition for chaotic systems.

Physical review letters

Arjendu K Pattanayak, Bala Sundaram, Benjamin D Greenbaum

Affiliations

  1. Department of Physics, Carleton College, Northfield, Minnesota 55057, USA.

PMID: 12570616 DOI: 10.1103/PhysRevLett.90.014103

Abstract

The quantum to classical transition for a system depends on many parameters, including a scale length for its action, variant Planck's over 2 pi, a measure of its coupling to the environment, D, and, for chaotic systems, the classical Lyapunov exponent, lambda. We propose measuring the proximity of quantum and classical evolutions as a multivariate function of (Planck's over 2 pi,lambda,D) and searching for transformations that collapse this hypersurface into a function of a composite parameter zeta= Planck's over 2 pi alpha)lambda beta D gamma. We report results for the quantum Cat Map and Duffing oscillator, showing accurate scaling behavior over a wide parameter range, indicating that this may be used to construct universality classes for this transition.

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