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Quantum mechanical diffusion in complex surroundings

Mizutori, Shoujirou and Åberg, Sven LU (1997) In Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 56(6). p.6311-6316
Abstract

The dynamics of a classical, heavy system coupled to a quantum mechanical light system is studied in a simple time-dependent random matrix model, where the degree of complexity can be changed by a “chaoticity parameter.” It is shown that the energy of the quantum mechanical system diffuses as it interacts with the classical system, providing it is chaotic, while a ballistic behavior appears in the ordered case. The energy diffusion of the chaotic system saturates, and it is shown that the saturation time is related to short-range correlations in the energy spectrum. In mixed systems the propagation of energy changes from a ballistic to diffusive behavior at a time related to long-range energy correlations.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
volume
56
issue
6
pages
6 pages
publisher
American Physical Society
external identifiers
  • scopus:0039402766
ISSN
1063-651X
DOI
10.1103/PhysRevE.56.6311
language
English
LU publication?
yes
id
9822f903-6c2e-478c-a7f3-ae6153d6f7e0
date added to LUP
2025-09-02 14:41:37
date last changed
2025-10-14 10:46:17
@article{9822f903-6c2e-478c-a7f3-ae6153d6f7e0,
  abstract     = {{<p>The dynamics of a classical, heavy system coupled to a quantum mechanical light system is studied in a simple time-dependent random matrix model, where the degree of complexity can be changed by a “chaoticity parameter.” It is shown that the energy of the quantum mechanical system diffuses as it interacts with the classical system, providing it is chaotic, while a ballistic behavior appears in the ordered case. The energy diffusion of the chaotic system saturates, and it is shown that the saturation time is related to short-range correlations in the energy spectrum. In mixed systems the propagation of energy changes from a ballistic to diffusive behavior at a time related to long-range energy correlations.</p>}},
  author       = {{Mizutori, Shoujirou and Åberg, Sven}},
  issn         = {{1063-651X}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{6311--6316}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics}},
  title        = {{Quantum mechanical diffusion in complex surroundings}},
  url          = {{http://dx.doi.org/10.1103/PhysRevE.56.6311}},
  doi          = {{10.1103/PhysRevE.56.6311}},
  volume       = {{56}},
  year         = {{1997}},
}