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Explore a 53-minute lecture by Eric Carlen of Rutgers University examining the rate of approach to steady state for Lindblad evolution equations in statistical mechanics, recorded at IPAM's Dynamics of Density Operators Workshop on April 28, 2025. Investigate many-particle models governed by Lindblad-type equations, with analysis of systems both with and without detailed balance—the latter corresponding to non-equilibrium steady states. Discover how relative entropy strictly decays along the evolution in both scenarios, while the absence of detailed balance introduces new considerations from the quantum optimal mass transport perspective. This presentation offers valuable insights for researchers and students interested in mathematical physics, quantum dynamics, and statistical mechanics.
