Quantum dynamics in view of Einstein's theory of Brownian motion
Sumiyoshi Abe (1), A. K. Rajagopal (2)((1)Institute of Physics,, University of Tsukuba, Japan,(2)Naval Research Laboratory, Washington, DC,, USA)
TL;DR
This paper develops a quantum version of Einstein's 1905 Brownian motion theory, deriving a Lindblad-structured master equation from Hamiltonian dynamics of an objective system interacting with its environment.
Contribution
It introduces a quantum-mechanical framework for Brownian motion based on Hamiltonian dynamics, extending Einstein's classical theory.
Findings
Derivation of a Lindblad-structured master equation
Framework for quantum Brownian motion from Hamiltonian dynamics
Extension of Einstein's classical theory to quantum regime
Abstract
A quantum-mechanical version of Einstein's 1905 theory of Brownian motion is presented. Starting from the Hamiltonian dynamics of an isolated composite of objective and environmental systems, subdynamics for the objective system is derived in the spirit of Einstein. The resulting master equation is found to have the Lindblad structure.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics