Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime
From MaRDI portal
Publication:2184745
DOI10.1007/s00220-019-03555-9zbMath1439.82004arXiv1812.03086OpenAlexW2905016371WikidataQ127239566 ScholiaQ127239566MaRDI QIDQ2184745
Benjamin Schlein, Serena Cenatiempo, Chiara Boccato, Christian Brennecke
Publication date: 29 May 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.03086
NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum equilibrium statistical mechanics (general) (82B10) Statistical mechanics of gases (82D05)
Related Items (35)
The low energy spectrum of trapped bosons in the Gross–Pitaevskii regime ⋮ Ground state energy of a Bose gas in the Gross–Pitaevskii regime ⋮ Bose–Einstein condensation on hyperbolic spaces ⋮ A second order upper bound on the ground state energy of a Bose gas beyond the Gross–Pitaevskii regime ⋮ Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas ⋮ Excitation spectrum of Bose gases beyond the Gross–Pitaevskii regime ⋮ Bogoliubov theory in the Gross-Pitaevskii limit: a simplified approach ⋮ Bogoliubov theory for trapped bosons in the Gross-Pitaevskii regime ⋮ Bosonization of fermionic many-body dynamics ⋮ Bose-Einstein condensation with optimal rate for trapped bosons in the Gross-Pitaevskii regime ⋮ Bose-Einstein condensation beyond the Gross-Pitaevskii regime ⋮ A simple 2nd order lower bound to the energy of dilute Bose gases ⋮ The Bose gas in a box with Neumann boundary conditions ⋮ Bogoliubov excitation spectrum of Bose gases ⋮ Friedrichs diagrams: bosonic and fermionic ⋮ Mini-workshop: A geometric fairytale full of spectral gaps and random fruit. Abstracts from the mini-workshop held November 27 -- December 3, 2022 ⋮ Derivation of the 2d Gross-Pitaevskii equation for strongly confined 3d bosons ⋮ Bogoliubov excitation spectrum of trapped Bose gases in the Gross-Pitaevskii regime ⋮ The excitation spectrum of two-dimensional Bose gases in the Gross-Pitaevskii regime ⋮ Bose–Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in ⋮ Exponential decay of the number of excitations in the weakly interacting Bose gas ⋮ A second order upper bound for the ground state energy of a hard-sphere gas in the Gross-Pitaevskii regime ⋮ Non linear Schrödinger limit of bosonic ground states, again ⋮ Rate of convergence toward Hartree type equations for mixture condensates with factorized initial data ⋮ The excitation spectrum of the Bose gas in the Gross–Pitaevskii regime ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ Bose-Einstein condensation for two dimensional bosons in the Gross-Pitaevskii regime ⋮ The dilute Fermi gas via Bogoliubov theory ⋮ Correlation energy of a weakly interacting Fermi gas ⋮ Bogoliubov theory for many-body quantum systems ⋮ Another proof of BEC in the GP-limit ⋮ Asymptotic expansion of low-energy excitations for weakly interacting bosons ⋮ Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime ⋮ On Bose-Einstein condensates in the Thomas-Fermi regime ⋮ A new second-order upper bound for the ground state energy of dilute Bose gases
Cites Work
- Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited
- The excitation spectrum for weakly interacting bosons
- Derivation of the Gross-Pitaevskii equation for rotating Bose gases
- Complete Bose-Einstein condensation in the Gross-Pitaevskii regime
- Bogoliubov theory in the Gross-Pitaevskii limit
- Gross-Pitaevskii dynamics for Bose-Einstein condensates
- Derivation of Hartree's theory for generic mean-field Bose systems
- The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases
- Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate
- Bogoliubov Spectrum of Interacting Bose Gases
- Ground state energy of the one-component charged Bose gas.
This page was built for publication: Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime
