# Mean field limit of bosonic systems in partially factorized states and their linear combinations

@article{Falconi2013MeanFL, title={Mean field limit of bosonic systems in partially factorized states and their linear combinations}, author={Marco Falconi}, journal={arXiv: Mathematical Physics}, year={2013} }

We study the mean field limit of one-particle reduced density matrices, for a bosonic system in an initial state with a fixed number of particles, only a fraction of which occupies the same state, and for linear combinations of such states. In the mean field limit, the time-evolved reduced density matrix is proved to converge: in trace norm, towards a rank one projection (on the state solution of Hartree equation) for a single state; in Hilbert-Schmidt norm towards a mixed state, combination of…

## 2 Citations

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

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- 2016

We consider the time evolution of quantum states by many-body Schrodinger dynamics and study the rate of convergence of their reduced density matrices in the mean field limit. If the prepared state…

### Mean field approximation of many-body quantum dynamics for Bosons in a discrete numerical model

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- 2015

The mean field approximation is numerically validated in the bosonic case by considering the time evolution of quantum states and their associated reduced density matrices by many-body Schrodinger…

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