Quantum Dissipation versus Classical Dissipation for Generalized Brownian Motion
arXiv:chao-dyn/9704016 · doi:10.1103/PhysRevLett.78.2878
Abstract
We try to clarify what are the genuine quantal effects that are associated with generalized Brownian Motion (BM). All the quantal effects that are associated with the Zwanzig-Feynman-Vernon-Caldeira-Leggett model are (formally) a solution of the classical Langevin equation. Non-stochastic, genuine quantum mechanical effects, are found for a model that takes into account either the disordered or the chaotic nature of some environment.
~4 pages, no figures
References in corpus (2)
Cited by in corpus (28)
- Quantum dissipation due to the interaction with chaotic degrees-of-freedom and the correspondence principle
- Chaos and energy spreading for time-Dependent Hamiltonians, and the various Regimes in the theory of Quantum Dissipation
- Caldeira--Leggett quantum master equation in Wigner phase space: continued-fraction solution and application to Brownian motion in periodic potentials
- Dephasing at Low Temperatures
- Generalized quantum Fokker-Planck, diffusion and Smoluchowski equations with true probability distribution functions
- Aharonov-Bohm oscillations of a particle coupled to dissipative environments
- Mapping between dissipative and Hamiltonian systems
- Dynamics of a Simple Quantum System in a Complex Environment
- A semiclassical theory of dissipative Henon-Heiles system
- Chaos and information entropy production
- Normal transport properties for a classical particle coupled to a non-Ohmic bath
- Spectral properties of Dissipative Chaotic Quantum Maps
- Low temperature properties of a quantum particle coupled to dissipative environments
- Dephasing due to the interaction with chaotic degrees of freedom
- Energy Dissipation Via Coupling With a Finite Chaotic Environment
- Quantal Brownian Motion - Dephasing and Dissipation
- Quantum dynamics and decoherence in coherently driven one-dimensional double-well system
- Quantum kicked harmonic oscillator in contact with a heat bath
- Fluctuation-dissipation relationship in chaotic dynamics
- Quantum Dissipation and Decoherence via Interaction with Low-Dimensional Chaos: a Feynman-Vernon Approach
- Decoherence of a particle in a ring
- Dephasing of a particle in a dissipative environment
- Dynamics of Complex Quantum Systems: Dissipation and Kinetic Equations
- Renormalization of the dephasing by zero point fluctuations
- Spin relaxation in phase space
- Localization by Dissipative Disorder: a Deterministic Approach to Position Measurements
- Breakdown of quantum-to-classical correspondence for diffusion in high temperature thermal environment
- Overview: Brownian Motion and Dephasing due to Dynamical Disorder