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Related Experiment Videos

Stochastic path integral formulation of full counting statistics.

S Pilgram1, A N Jordan, E V Sukhorukov

  • 1Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland.

Physical Review Letters
|June 6, 2003
PubMed
Summary

We developed a new method using stochastic path integrals to understand counting statistics in semiclassical systems. This approach accurately describes charge distributions and current cumulants in chaotic cavities, particularly in the hot-electron regime.

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Area of Science:

  • Quantum physics
  • Mesoscopic systems
  • Statistical mechanics

Background:

  • Understanding charge transport in mesoscopic systems is crucial for quantum electronics.
  • Semiclassical approximations are often used to simplify complex quantum phenomena.
  • Counting statistics provide insights into electron transport fluctuations.

Purpose of the Study:

  • To develop a stochastic path integral representation for counting statistics in semiclassical systems.
  • To generalize this formalism for arbitrary charge distributions and counting fields.
  • To apply the method to calculate current cumulants in a chaotic cavity.

Main Methods:

  • Derivation of a stochastic path integral representation.
  • Application to a single chaotic cavity with two quantum point contacts.

Related Experiment Videos

  • Generalization to arbitrary numbers of counting fields and charges.
  • Utilizing saddle-point approximation and semiclassical analysis.

    • Main Results:

    • A novel path integral formalism for counting statistics in semiclassical systems.
    • A method to find the propagator for generalized charge distributions.
    • Suppression of fluctuations around the saddle point in the semiclassical limit.
    • Derivation of current cumulants for a chaotic cavity in the hot-electron regime.

    Conclusions:

    • The stochastic path integral method provides a powerful tool for analyzing counting statistics in semiclassical systems.
    • This formalism accurately captures charge distribution propagators and current cumulants.
    • The approach is particularly effective for studying electron transport in mesoscopic devices like chaotic cavities.