Another proof of BEC in the GP-limit
arXiv:2011.09450 · doi:10.1063/5.0039123
Abstract
We present a fresh look at the methods introduced by Boccato, Brennecke, Cenatiempo, and Schlein concerning the trapped Bose gas and give a conceptually very simple and concise proof of BEC in the Gross-Pitaevskii limit for small interaction potentials.
arXiv commentfinal version
References in corpus (13)
- Proof of Bose-Einstein Condensation for Dilute Trapped Gases
- Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional
- Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases
- Ground State Energy of the Low Density Bose Gas
- Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime
- Ground states of large bosonic systems: The gross-pitaevskii limit revisited
- Gross-Pitaevskii Dynamics for Bose-Einstein Condensates
- Complete Bose-Einstein condensation in the Gross-Pitaevskii regime
- Bose-Einstein Condensation Beyond the Gross-Pitaevskii Regime
- Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime
- The BCS Critical Temperature for Potentials with Negative Scattering Length
- A simple 2nd order lower bound to the energy of dilute Bose gases
- The Second Order Correction to the Ground State Energy of the Dilute Bose Gas
Cited by in corpus (10)
- Bose-Einstein Condensation with Optimal Rate for Trapped Bosons in the Gross-Pitaevskii Regime
- The Bose gas in a box with Neumann boundary conditions
- Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit
- On Bose-Einstein condensates in the Thomas-Fermi regime
- A Short Proof of Bose-Einstein Condensation in the Gross-Pitaevskii Regime and Beyond
- Bose-Einstein condensation on hyperbolic spaces
- The excitation spectrum of a Bose gas with an impurity in the Gross-Pitaevskii regime
- Second Order Expansion of Gibbs State Reduced Density Matrices in the Gross-Pitaevskii Regime
- The Low Energy Spectrum of Trapped Bosons in the Gross-Pitaevskii Regime
- Derivation of the Gross-Pitaevskii Dynamics through Renormalized Excitation Number Operators