2010/04/20 by Stéphane Attal, S Attal, Clément Pellegrini +3
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #math-ph #math.MP #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1004.3359
arxiv created 2010/04/20 · arxiv updated 2010/04/21
We derive the stochastic master equations which describe the evolution of open quantum systems in contact with a heat bath and undergoing indirect measurements. These equations are obtained as a limit of a quantum repeated measurement model where we consider a small system in contact with an infinite chain at positive temperature. At zero temperature it is well-known that one obtains stochastic differential equations of jump-diffusion type. At strictly positive temperature, we show that only pure diffusion type equations are relevant.