Quantum Brownian Motion With Large Friction
arXiv:cond-mat/0412352 · doi:10.1063/1.1855731
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.
11 pages, 6 figures, to appear in: Chaos: "100 years of Brownian motion"
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Cited by in corpus (14)
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- Quantum fluctuation theorems in the strong damping limit
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- Comment on 'Semiclassical Klein-Kramers and Smoluchowski equations for the Brownian motion of a particle in an external potential'
- Quantum charge diffusion in underdamped Josephson junctions and superconducting nanowires
- Nonlinear theory of quantum Brownian motion
- Magnetic flux in mesoscopic rings: Quantum Smoluchowski regime
- Real-time Monte-Carlo simulations for dissipative tight-binding systems and time local master equations
- Low frequency limit for thermally activated escape with periodic driving
- Non-Markovian quantum Brownian motion: a non-Hamiltonian approach
- Current characteristics of mesoscopic rings in quantum Smoluchowski regime