article published yes Phan Nam author 404092F4-F248-11E8-B48F-1D18A9856A87 Nicolas Rougerie author Robert Seiringer author 4AFD0470-F248-11E8-B48F-1D18A9856A870000-0002-6781-0521 RoSe department International IST Postdoc Fellowship Programme project We study the ground state of a dilute Bose gas in a scaling limit where the Gross-Pitaevskii functional emerges. This is a repulsive nonlinear Schrödinger functional whose quartic term is proportional to the scattering length of the interparticle interaction potential. We propose a new derivation of this limit problem, with a method that bypasses some of the technical difficulties that previous derivations had to face. The new method is based on a combination of Dyson\'s lemma, the quantum de Finetti theorem and a second moment estimate for ground states of the effective Dyson Hamiltonian. It applies equally well to the case where magnetic fields or rotation are present. Mathematical Sciences Publishers2016 eng 1503.07061 00037828700000610.2140/apde.2016.9.459 92459 - 485 Nam P, Rougerie N, Seiringer R. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. <i>Analysis and PDE</i>. 2016;9(2):459-485. doi:<a href="https://doi.org/10.2140/apde.2016.9.459">10.2140/apde.2016.9.459</a> P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485. Nam P, Rougerie N, Seiringer R. 2016. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. 9(2), 459–485. P. Nam, N. Rougerie, and R. Seiringer, “Ground states of large bosonic systems: The gross Pitaevskii limit revisited,” <i>Analysis and PDE</i>, vol. 9, no. 2. Mathematical Sciences Publishers, pp. 459–485, 2016. Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” <i>Analysis and PDE</i>, vol. 9, no. 2, Mathematical Sciences Publishers, 2016, pp. 459–85, doi:<a href="https://doi.org/10.2140/apde.2016.9.459">10.2140/apde.2016.9.459</a>. Nam, P., Rougerie, N., &#38; Seiringer, R. (2016). Ground states of large bosonic systems: The gross Pitaevskii limit revisited. <i>Analysis and PDE</i>. Mathematical Sciences Publishers. <a href="https://doi.org/10.2140/apde.2016.9.459">https://doi.org/10.2140/apde.2016.9.459</a> Nam, Phan, Nicolas Rougerie, and Robert Seiringer. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” <i>Analysis and PDE</i>. Mathematical Sciences Publishers, 2016. <a href="https://doi.org/10.2140/apde.2016.9.459">https://doi.org/10.2140/apde.2016.9.459</a>. 11432018-12-11T11:50:23Z2025-09-22T14:10:16Z