Quantum Brownian Motion With Large Friction
Joachim Ankerhold, Hermann Grabert, and Philip Pechukas
TL;DR
This paper derives and discusses the quantum Smoluchowski equation for quantum Brownian motion under strong friction, highlighting quantum fluctuations' importance in various physical systems.
Contribution
It introduces an effective quantum Smoluchowski equation for strong friction regimes, extending the understanding of dissipative quantum dynamics.
Findings
Quantum fluctuations significantly influence strongly condensed phase systems.
The quantum Smoluchowski equation effectively describes the reduced dynamics in the strong friction limit.
Applications span chemical, mesoscopic, and soft matter systems.
Abstract
Quantum Brownian motion in the strong friction limit is studied based on the exact path integral formulation of dissipative systems. In this limit the time-nonlocal reduced dynamics can be cast into an effective equation of motion, the quantum Smoluchowski equation. For strongly condensed phase environments it plays a similar role as master equations in the weak coupling range. Applications for chemical, mesoscopic, and soft matter systems are discussed and reveal the substantial role of quantum fluctuations.
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