A semiclassical theory of a dissipative Henon-Heiles system

Bag, Bidhan Chandra ; Ray, Deb Shankar (1999) A semiclassical theory of a dissipative Henon-Heiles system Journal of Statistical Physics, 96 (1-2). pp. 271-302. ISSN 0022-4715

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Official URL: http://www.springerlink.com/content/w4g23470547605...

Related URL: http://dx.doi.org/10.1023/A:1004528601324


A semiclassical theory of a dissipative Henon-Heiles system is proposed. Based on ¯h-scaling of an equation for the evolution of the Wigner quasiprobability distribution function in the presence of dissipation and thermal diffusion, we derive a semiclassical equation for quantum fluctuations, governed by the dissipation and the curvature of the classical potential. We show how the initial quantum noise gets amplified by classical chaotic diffusion, which is expressible in terms of a correlation of stochastic fluctuations of the curvature of the potential due to classical chaos, and ultimately settles down to equilibrium under the influence of dissipation. We also establish that there exists a critical limit to the expansion of phase space. The limit is set by chaotic diffusion and dissipation. Our semiclassical analysis is corroborated by numerical simulation of a quantum operator master equation.

Item Type:Article
Source:Copyright of this article belongs to Springer.
Keywords:Dissipative Quantum System; Semiclassical Approximation; Classical Chaos; Henon-Heiles Hamiltonian
ID Code:59049
Deposited On:03 Sep 2011 11:58
Last Modified:18 May 2016 09:45

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