Universal irreversibility of normal quantum diffusion.

@article{Yamada2010UniversalIO,
  title={Universal irreversibility of normal quantum diffusion.},
  author={Hiroaki S. Yamada and Kensuke S. Ikeda},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2010},
  volume={82 6 Pt 1},
  pages={
          060102
        }
}
  • H. Yamada, K. Ikeda
  • Published 2 June 2010
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Time-reversibility measured by the deviation of perturbed time-reversed motion from the unperturbed motion is examined for normal quantum diffusion exhibited by four classes of quantum maps with contrasting physical nature. Irrespective of the system, there exists a universal minimal quantum threshold above which the system completely loses memory of the past. The time-reversed dynamics as well as the time-reversal characteristics are asymptotically universal curves independent of the details… 
8 Citations

Figures from this paper

Time-reversal characteristics of quantum normal diffusion
Abstract This paper concerns the time-reversal characteristics of intrinsic normal diffusion in quantum systems. Time-reversible properties are quantified by the time-reversal test; the system
Time-reversal characteristics of quantum normal diffusion: time-continuous models
In quantum map systems exhibiting normal diffusion, time-reversal characteristics converge to a universal scaling behavior which implies a prototype of irreversible quantum process [H.S. Yamada, K.S.
A quantum damper
Time reversibility of quantum diffusion in small-world networks
We study the time-reversal dynamics of a tight-binding electron in the Watts-Strogatz (WS) small-world networks. The localized initial wave packet at time t = 0 diffuses as time proceeds until the
Critical phenomena of dynamical delocalization in quantum maps: Standard map and Anderson map.
TLDR
The self-consistent theory (SCT) of the localization is applied, taking a plausible hypothesis on the mean-free-path parameter which worked successfully in the analyses of the monochromatically perturbed QMs and comparing in detail the numerical results with the predictions of the SCT.
Scaling properties of dynamical localization in monochromatically perturbed quantum maps: Standard map and Anderson map.
Dynamical localization phenomena of monochromatically perturbed standard map (SM) and Anderson map (AM), which are both identified with a two-dimensional disordered system under suitable conditions,
Localization and delocalization properties in quasi-periodically perturbed Kicked Harper and Harper models
We numerically study the single particle localization and delocalization phenomena of an initially localized wave packet in the kicked Harper model (KHM) and Harper model subjected to quasiperiodic
Analyticity of quantum states in one-dimensional tight-binding model
Analytical complexity of quantum wavefunction whose argument is extended into the complex plane provides an important information about the potentiality of manifesting complex quantum dynamics such

References

SHOWING 1-10 OF 20 REFERENCES
Introduction to the Theory of Disordered Systems
General Properties of Disordered Systems. The Density of States in One-Dimensional Systems. States, Localization, and Conductivity in One-Dimensional Systems. The Fluctuation Region of the Spectrum.
Ann
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed
Phys. Rev. E65
  • Phys. Rev. E65
  • 2002
Sov
  • Sci. Rev. C 2, 209(1981); Physica D 33, 77
  • 1988
Phys
  • Rev. A 30, 1610-1615
  • 1984
Phys. Lett. A
  • Phys. Lett. A
  • 2004
Phys. Rev. E
  • Phys. Rev. E
  • 2002
...
...