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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Quantum Smoluchowski equation: a systematic study.

Stefan A Maier1, Joachim Ankerhold

  • 1Institut für Theoretische Physik, Universität Ulm, Albert-Einstein-Allee 11, 89069 Ulm, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 7, 2010
PubMed
Summary
This summary is machine-generated.

This study analyzes quantum Smoluchowski dynamics in the strong-friction regime. Higher-order quantum corrections accurately reproduce the quantum enhancement of decay rates from metastable states.

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Area of Science:

  • Quantum dynamics
  • Statistical mechanics
  • Condensed matter physics

Background:

  • The strong-friction regime at low temperatures presents challenges for theoretical analysis.
  • The quantum Smoluchowski equation provides a framework for studying dissipative quantum systems.

Purpose of the Study:

  • To systematically analyze the strong-friction regime using path-integral methods.
  • To derive higher-order quantum corrections to the quantum Smoluchowski equation.
  • To investigate the quantum enhancement of decay rates from metastable states.

Main Methods:

  • Utilizing the formally exact path-integral expression for reduced dynamics.
  • Applying a semiclassical treatment in the inverse friction strength.
  • Determining drift and diffusion coefficients from equilibrium distributions and path actions.

Main Results:

  • Higher-order quantum corrections to the quantum Smoluchowski equation were derived.
  • Drift and diffusion coefficients were linked to equilibrium distributions and extremal path actions.
  • The quantum enhancement of decay rates above the crossover was precisely reproduced.

Conclusions:

  • The developed semiclassical approach accurately describes quantum effects in the strong-friction regime.
  • Higher-order corrections are crucial for understanding quantum enhancement in decay processes.
  • This work provides a refined theoretical tool for dissipative quantum systems.