2008/05/20 by Bassano Vacchini, Francesco Petruccione
Computer Science · Physics and Astronomy · #Brownian motion #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Einstein #Master equation #Motion (physics) #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Statistical physics #Test particle #quant-ph
paper · pdf · doi:10.1140/epjst/e2008-00702-3
published as Eur. Phys. J. Special Topics vol. 159, pp. 135-141 (2008) · 7 pages, no figures
openalex publication_date 2008/05/20 · arxiv created 2008/09/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We stress the relevance of the two features of translational invariance and atomic nature of the gas in the quantum description of the motion of a massive test particle in a gas, corresponding to the original picture of Einstein used in the characterization of Brownian motion. The master equation describing the reduced dynamics of the test particle is of Lindblad form and complies with the requirement of covariance under translations.