Non linear Schrödinger limit of bosonic ground states, again
Confluentes Mathematici, Volume 12 (2020) no. 1, pp. 69-91.

I review an information-theoretic variant of the quantum de Finetti theorem due to Brandão and Harrow and discuss its applications to the topic of bosonic mean-field limits. This leads to slightly improved methods for the derivation of the local non-linear Schrödinger energy functional from many-body quantum mechanics.

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DOI: 10.5802/cml.62
Classification: 81V70, 35Q40
Keywords: Many-body quantum mechanics, mean-field limits, Schrödinger operators, de Finetti theorem, quantum information

Nicolas Rougerie 1

1 Université Grenoble Alpes & CNRS, LPMMC, F-38000 Grenoble, France
License: CC-BY-NC-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Nicolas Rougerie. Non linear Schrödinger limit of bosonic ground states, again. Confluentes Mathematici, Volume 12 (2020) no. 1, pp. 69-91. doi : 10.5802/cml.62. https://cml.centre-mersenne.org/articles/10.5802/cml.62/

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