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On the rate of convergence for the mean field approximation of Bosonic many-body quantum dynamics

2016
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Communications in Mathematical Sciences
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We consider the time evolution of quantum states by many-body Schr\"odinger dynamics and study the rate of convergence of their reduced density matrices in the mean field limit. If the prepared state at initial time is of coherent or factorized type and the number of particles $n$ is large enough then it is known that $1/n$ is the correct rate of convergence at any time. We show in the simple case of bounded pair potentials that the previous rate of convergence holds in more general situations

doi:10.4310/cms.2016.v14.n5.a9
fatcat:2ewdjs2knnf47j7vm3ffbbz2ay