The condensation of a trapped dilute Bose gas with three-body interactions
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Publication:2699468
DOI10.2140/pmp.2023.4.91OpenAlexW3205031243MaRDI QIDQ2699468
Julien Ricaud, Phan Thành Nam, Arnaud Triay
Publication date: 26 April 2023
Published in: Probability and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.08195
Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20)
Related Items (2)
Dilute Bose gas with three-body interaction: Recent results and open questions ⋮ Ground state energy of the low density Bose gas with three-body interactions
Cites Work
- Unnamed Item
- The quintic NLS as the mean field limit of a boson gas with three-body interactions
- Second-order corrections to mean field evolution for weakly interacting bosons in the case of three-body interactions
- Upper bounds to the ground state energies of the one- and two-component charged Bose gases
- The average field approximation for almost bosonic extended anyons
- Derivation of the Gross-Pitaevskii equation for rotating Bose gases
- Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
- Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime
- On two properties of the Fisher information
- The second-order correction to the ground state energy of the dilute Bose gas
- The derivation of the \(\mathbb{T}^{3}\) energy-critical NLS from quantum many-body dynamics
- Derivation of the quintic NLS from many-body quantum dynamics in \(\mathbb T^2\)
- Derivation of Hartree's theory for generic mean-field Bose systems
- Lieb--Thirring type inequalities and Gagliardo--Nirenberg inequalities for systems
- The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases
- Effective Evolution Equations from Quantum Dynamics
- Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential
- Derivation of the Dipolar Gross--Pitaevskii Energy
- Average field approximation for almost bosonic anyons in a magnetic field
- Derivation of Effective Evolution Equations from Microscopic Quantum Dynamics
- Theory of the Superfluidity of Helium II
- Derivation of the nonlinear Schrödinger equation with a general nonlinearity and Gross–Pitaevskii hierarchy in one and two dimensions
- Ground state energy of the low density Bose gas with three-body interactions
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