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Related Experiment Videos

Dissipative process under a boundary perturbation.

Tsuyoshi Okubo1, Takashi Odagaki

  • 1Department of Physics, Kyushu University, Fukuoka 812-8581, Japan. t.okubo@cmt.phys.kyushu-u.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 12, 2006
PubMed
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Quantum mechanics reveals that first-passage time distributions act as response functions for dissipative systems. This finding, applied to the Anderson model, links system dynamics to the narrowness of these distributions in disordered systems.

Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Statistical physics

Background:

  • Dissipative processes are fundamental in open quantum systems.
  • Understanding system response to boundary perturbations is crucial.
  • Linear response theory traditionally uses response functions.

Purpose of the Study:

  • To analyze dissipative processes in quantum systems under boundary perturbation.
  • To establish a connection between first-passage time and system response.
  • To apply this formalism to disordered systems.

Main Methods:

  • Quantum mechanical analysis of dissipative processes.
  • Definition and application of quantum first-passage time.
  • Formalism applied to the one-dimensional Anderson model with current injection and absorption.

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Main Results:

  • The response of a quantum system to perturbation is shown to be expressible via first-passage time.
  • The first-passage-time distribution functions as the response function in this context.
  • Frequency-dependent susceptibility oscillations in disordered Anderson models correlate with narrow first-passage-time distributions.

Conclusions:

  • First-passage time provides a novel framework for understanding quantum system response.
  • The narrowness of first-passage-time distributions is a key characteristic of disordered systems.
  • This formalism offers new insights into quantum transport and dissipation.