A quantum relative entropy approach establishes stability estimates for the mean-field limit from N-body von Neumann dynamics to the Hartree equation, with uniform semiclassical convergence and extension to general bounded interactions in open systems.
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N-particle Lindblad dynamics converges to the nonlinear mean-field equation with relative entropy distance O(1/N).
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Quantum Relative Entropy and the Mean-Field Limit
A quantum relative entropy approach establishes stability estimates for the mean-field limit from N-body von Neumann dynamics to the Hartree equation, with uniform semiclassical convergence and extension to general bounded interactions in open systems.
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Quantitative propagation of chaos for Lindblad dynamics
N-particle Lindblad dynamics converges to the nonlinear mean-field equation with relative entropy distance O(1/N).