Ground states of large bosonic systems: The gross Pitaevskii limit revisited

P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.


Journal Article | Published | English
Department
Abstract
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.
Publishing Year
Date Published
2016-03-24
Journal Title
Analysis and PDE
Volume
9
Issue
2
Page
459 - 485
IST-REx-ID

Cite this

Nam P, Rougerie N, Seiringer R. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. 2016;9(2):459-485. doi:10.2140/apde.2016.9.459
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. https://doi.org/10.2140/apde.2016.9.459
Nam, Phan, Nicolas Rougerie, and Robert Seiringer. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE 9, no. 2 (2016): 459–85. https://doi.org/10.2140/apde.2016.9.459.
P. Nam, N. Rougerie, and R. Seiringer, “Ground states of large bosonic systems: The gross Pitaevskii limit revisited,” Analysis and PDE, vol. 9, no. 2, pp. 459–485, 2016.
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.
Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE, vol. 9, no. 2, Mathematical Sciences Publishers, 2016, pp. 459–85, doi:10.2140/apde.2016.9.459.

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