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

Autor: Pawilowski, Boris

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 Schr\"odinger dynamics. The model phase-space is finite-dimension

Externí odkaz: http://arxiv.org/abs/1508.00452

Mean field limit for Bosons with compact kernels interactions by Wigner measures transportation

Autor: Pawilowski, Boris, Liard, Quentin

We consider a class of many-body Hamiltonians composed of a free (kinetic) part and a multi-particle (potential) interaction with a compactness assumption on the latter part. We investigate the mean field limit of such quantum systems following the W

Externí odkaz: http://arxiv.org/abs/1402.4261

Approximation du champ moyen de la dynamique à N corps pour les bosons dans un modèle numérique discret

Autor: Pawilowski, Boris

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 Schrödinger dynamics. The model phase-space is finite-dimensiona

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::04d276d934f70f145e49ad3ae5762ed9
https://hal.science/hal-01183707/file/article.pdf

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

Autor: Marco Falconi, Zied Ammari, Boris Pawilowski

Publikováno v: Communications in Mathematical Sciences
Communications in Mathematical Sciences, 2016, 14 (5), pp.1417-1442. ⟨10.4310/CMS.2016.v14.n5.a9⟩
Communications in Mathematical Sciences, International Press, 2016, 14 (5), pp.1417-1442. 〈10.4310/CMS.2016.v14.n5.a9〉
Communications in Mathematical Sciences, International Press, 2016, 14 (5), pp.1417-1442. ⟨10.4310/CMS.2016.v14.n5.a9⟩

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::637b9a892beaf530d86170e2190c9767
https://hal.science/hal-01090965