On Bose-Einstein condensates in the Thomas-Fermi regime
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Publication:2099846
DOI10.1007/s11040-022-09439-0OpenAlexW4226018353MaRDI QIDQ2099846
Emanuela L. Giacomelli, Daniele Dimonte
Publication date: 18 November 2022
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.02343
Related Items (3)
The low energy spectrum of trapped bosons in the Gross–Pitaevskii regime ⋮ A second order upper bound on the ground state energy of a Bose gas beyond the Gross–Pitaevskii regime ⋮ An optimal upper bound for the dilute Fermi gas in three dimensions
Cites Work
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- Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited
- The excitation spectrum for weakly interacting Bosons in a trap
- Excitation spectrum of interacting bosons in the mean-field infinite-volume limit
- Quantum many-body fluctuations around nonlinear Schrödinger dynamics
- The transition to a giant vortex phase in a fast rotating Bose-Einstein condensate
- The mathematics of the Bose gas and its condensation.
- The excitation spectrum for weakly interacting bosons
- A simple derivation of mean field limits for quantum systems
- The excitation spectrum of Bose gases interacting through singular potentials
- The second order upper bound for the ground energy of a Bose gas
- On the mean-field limit of bosons with Coulomb two-body interaction
- Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems
- The TF limit for rapidly rotating Bose gases in anharmonic traps
- Derivation of the Gross-Pitaevskii equation for rotating Bose gases
- Mean-field dynamics: Singular potentials and rate of convergence
- Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
- Quantum fluctuations and rate of convergence towards mean field dynamics
- The classical field limit of scattering theory for non-relativistic many- boson systems. I
- On how Poincaré inequalities imply weighted ones
- Higher order corrections to the mean-field description of the dynamics of interacting bosons
- Bogoliubov theory in the Gross-Pitaevskii limit
- The Hartree functional in a double well
- Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime
- Bogoliubov theory for trapped bosons in the Gross-Pitaevskii regime
- Bose-Einstein condensation with optimal rate for trapped bosons in the Gross-Pitaevskii regime
- Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime
- The energy of dilute Bose gases
- Fluctuations of \(N\)-particle quantum dynamics around the nonlinear Schrödinger equation
- Gross-Pitaevskii dynamics for Bose-Einstein condensates
- Derivation of Hartree's theory for generic mean-field Bose systems
- Bose-Einstein condensation beyond the Gross-Pitaevskii regime
- The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases
- Critical rotational speeds for superfluids in homogeneous traps
- Mean field dynamics of boson stars
- Vortex dynamics for the two dimensional non homogeneous Gross-Pitaevskii equation
- Endpoint Strichartz estimates
- Another proof of BEC in the GP-limit
- A new second-order upper bound for the ground state energy of dilute Bose gases
- Excitation spectrum of Bose gases beyond the Gross–Pitaevskii regime
- Bogoliubov Spectrum of Interacting Bose Gases
- Derivation of the time dependent Gross–Pitaevskii equation with external fields
- Quantitative Derivation of the Gross‐Pitaevskii Equation
- Asymptotic expansion of low-energy excitations for weakly interacting bosons
- Bogoliubov excitation spectrum of trapped Bose gases in the Gross-Pitaevskii regime
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