Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Girardot, Théotime"'
We present an overview of the approach to establish a lower bound to the ground state energy for the dilute, interacting Bose gas in a periodic box. In this paper the size of the box is larger than the Gross-Pitaevski length scale. The presentation i
Externí odkaz:
http://arxiv.org/abs/2305.00797
Autor:
Girardot, Théotime, Rougerie, Nicolas
We derive a Pauli exclusion principle for extended fermion-based anyons of any positive radius and any non-trivial statistics parameter. That is, we consider 2D fermionic particles coupled to magnetic flux tubes of non-zero radius, and prove a Lieb-T
Externí odkaz:
http://arxiv.org/abs/2209.02543
Autor:
Girardot, Théotime, Rougerie, Nicolas
In two-dimensional space there are possibilities for quantum statistics continuously interpolating between the bosonic and the fermionic one. Quasi-particles obeying such statistics can be described as ordinary bosons and fermions with magnetic inter
Externí odkaz:
http://arxiv.org/abs/2101.04457
Autor:
Girardot, Théotime
We study the ground state of a large number N of 2D anyons in an external magnetic field. We consider a scaling limit where the statistics parameter $\alpha$ tends to zero when N tends to infinity which allows the statistics to be seen as a "perturba
Externí odkaz:
http://arxiv.org/abs/1910.09310
Akademický článek
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Autor:
Girardot, Théotime1 (AUTHOR) theotime.girardot@math.au.dk, Rougerie, Nicolas2 (AUTHOR)
Publikováno v:
Letters in Mathematical Physics. Feb2023, Vol. 113 Issue 1, p1-38. 38p.
Autor:
Girardot, Théotime
Publikováno v:
Mathematics [math]. École doctorale de l'Université Grenoble Alpes, 2021. English
This thesis is dedicated to the study of an anyon gas. We derive ground stateseffective models in the large number of particle limit.In two-dimensional space there are possibilities for quantum statistics continuouslyinterpolating between the bosonic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::ed121364e331238b031c6134dad20bd1
https://hal.archives-ouvertes.fr/tel-03424016/document
https://hal.archives-ouvertes.fr/tel-03424016/document
Autor:
Girardot, Théotime
Publikováno v:
Mathematical Physics [math-ph]. Université Grenoble Alpes [2020-..], 2021. English. ⟨NNT : 2021GRALM031⟩
This thesis is dedicated to the study of anyons gases in the limit of largenumber of particles. We derive effective models describing the ground state of the system and the associated minimizers.In two-dimensional space there are possibilities for qu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::966ffeb03785cad23d4f9bad934a4c53
https://hal.archives-ouvertes.fr/tel-03424016v2
https://hal.archives-ouvertes.fr/tel-03424016v2
Akademický článek
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