The second order Huang-Yang formula to the 3D Fermi gas: the Gross-Pitaevskii regime
Fuente:
arXiv
Saved in:
| Main Authors: | Chen, Xuwen, Wu, Jiahao, Zhang, Zhifei |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
The second order Huang-Yang approximation to the Fermi thermodynamic pressure
by: Chen, Xuwen, et al.
Published: (2025)
by: Chen, Xuwen, et al.
Published: (2025)
The Second Order 2D Behaviors of a 3D Bose Gases in the Gross-Pitaevskii Regime
by: Chen, Xuwen, et al.
Published: (2024)
by: Chen, Xuwen, et al.
Published: (2024)
The Huang-Yang formula for the low-density Fermi gas: upper bound
by: Giacomelli, Emanuela L., et al.
Published: (2024)
by: Giacomelli, Emanuela L., et al.
Published: (2024)
The Huang-Yang conjecture for the low-density Fermi gas
by: Giacomelli, Emanuela L., et al.
Published: (2025)
by: Giacomelli, Emanuela L., et al.
Published: (2025)
Ground states and droplet regimes of the extended Gross-Pitaevskii equation with Lee-Huang-Yang correction
by: Huang, Weijie, et al.
Published: (2026)
by: Huang, Weijie, et al.
Published: (2026)
Third order corrections to the ground state energy of a Bose gas in the Gross-Pitaevskii regime
by: Caraci, Cristina, et al.
Published: (2023)
by: Caraci, Cristina, et al.
Published: (2023)
The excitation spectrum of a Bose gas with an impurity in the Gross-Pitaevskii regime
by: Lampart, Jonas, et al.
Published: (2024)
by: Lampart, Jonas, et al.
Published: (2024)
The derivation of the compressible Euler equation from quantum many-body dynamics
by: Chen, Xuwen, et al.
Published: (2021)
by: Chen, Xuwen, et al.
Published: (2021)
Derivation of the 3D quintic Gross--Pitaevskii equation
by: Triay, Arnaud, et al.
Published: (2026)
by: Triay, Arnaud, et al.
Published: (2026)
Derivation of Hartree theory for two-dimensional attractive Bose gases in almost Gross-Pitaevskii regime
by: Junge, Lukas, et al.
Published: (2024)
by: Junge, Lukas, et al.
Published: (2024)
On the mean-field and semiclassical limit from quantum $N$-body dynamics
by: Chen, Xuwen, et al.
Published: (2023)
by: Chen, Xuwen, et al.
Published: (2023)
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation
by: Chen, Xuwen, et al.
Published: (2026)
by: Chen, Xuwen, et al.
Published: (2026)
Well/Ill-posedness of the Boltzmann Equation with Soft Potential
by: Chen, Xuwen, et al.
Published: (2023)
by: Chen, Xuwen, et al.
Published: (2023)
Global derivation of the 1D Vlasov-Poisson equation from quantum many-body dynamics with screened Coulomb potential
by: Chen, Xuwen, et al.
Published: (2024)
by: Chen, Xuwen, et al.
Published: (2024)
The Lee-Huang-Yang energy for a dilute gas of hard spheres: an upper bound
by: Basti, Giulia, et al.
Published: (2026)
by: Basti, Giulia, et al.
Published: (2026)
Diagonalizing Bose Gases in the Gross-Pitaevskii Regime and Beyond
by: Brooks, Morris
Published: (2023)
by: Brooks, Morris
Published: (2023)
Exponential Control of Excitations for Trapped BEC in the Gross-Pitaevskii Regime
by: Behrmann, Nils, et al.
Published: (2025)
by: Behrmann, Nils, et al.
Published: (2025)
Standing waves of the Anderson-Gross-Pitaevskii equation
by: Mackowiak, Samaël
Published: (2025)
by: Mackowiak, Samaël
Published: (2025)
Positive-density ground states of the Gross-Pitaevskii equation
by: Lewin, Mathieu, et al.
Published: (2023)
by: Lewin, Mathieu, et al.
Published: (2023)
A Short Proof of Bose-Einstein Condensation in the Gross-Pitaevskii Regime and Beyond
by: Brennecke, Christian, et al.
Published: (2024)
by: Brennecke, Christian, et al.
Published: (2024)
Derivation of the compressible Euler equations from the dynamics of interacting Bose gas in the hard-core limit regime
by: Chong, Jacky, et al.
Published: (2024)
by: Chong, Jacky, et al.
Published: (2024)
Exact solvability of the Gross-Pitaevskii equation for bound states subjected to general potentials
by: Mirón, M., et al.
Published: (2025)
by: Mirón, M., et al.
Published: (2025)
Local wellposedness of the 2d Anderson-Gross-Pitaevskii equation
by: Mackowiak, Samaël
Published: (2025)
by: Mackowiak, Samaël
Published: (2025)
Derivation of the Gross-Pitaevskii Dynamics through Renormalized Excitation Number Operators
by: Brennecke, Christian, et al.
Published: (2024)
by: Brennecke, Christian, et al.
Published: (2024)
Quantum Fluctuations of Many-Body Dynamics around the Gross-Pitaevskii Equation
by: Caraci, Cristina, et al.
Published: (2023)
by: Caraci, Cristina, et al.
Published: (2023)
Large deviation principles for the Gross Pitaevskii Gibbs measure at low temperature
by: Packer, Liam, et al.
Published: (2025)
by: Packer, Liam, et al.
Published: (2025)
The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound
by: Emanuela L. Giacomelli, et al.
Published: (2026)
by: Emanuela L. Giacomelli, et al.
Published: (2026)
A multi-mesh adaptive finite element method for solving the Gross-Pitaevskii equation
by: Li, Mingzhe, et al.
Published: (2026)
by: Li, Mingzhe, et al.
Published: (2026)
Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit
by: Boccato, Chiara, et al.
Published: (2023)
by: Boccato, Chiara, et al.
Published: (2023)
A gluing construction of $D_{k}$ ALF gravitational instantons and existence of non-holomorphic minimal spheres
by: Zhu, Xuwen
Published: (2024)
by: Zhu, Xuwen
Published: (2024)
On soliton resolution to Cauchy problem of the spin-1 Gross-Pitaevskii equation
by: Tian, Shou-Fu, et al.
Published: (2025)
by: Tian, Shou-Fu, et al.
Published: (2025)
A second order upper bound to the free energy of the two dimensional Bose gas
by: Haberberger, Florian, et al.
Published: (2026)
by: Haberberger, Florian, et al.
Published: (2026)
Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit for general interaction potentials
by: Caporaletti, Marco, et al.
Published: (2023)
by: Caporaletti, Marco, et al.
Published: (2023)
Second Order Expansion of Gibbs State Reduced Density Matrices in the Gross-Pitaevskii Regime
by: Brennecke, Christian, et al.
Published: (2023)
by: Brennecke, Christian, et al.
Published: (2023)
Well/ill-posedness bifurcation for the Boltzmann equation with constant collision kernel
by: Chen, Xuwen, et al.
Published: (2022)
by: Chen, Xuwen, et al.
Published: (2022)
Persistence of integrable wave dynamics in the Discrete Gross--Pitaevskii equation: the focusing case
by: Fotopoulos, G., et al.
Published: (2025)
by: Fotopoulos, G., et al.
Published: (2025)
Rogue waves in extended Gross-Pitaevskii Models with a Lee-Huang-Yang correction
by: Chandramouli, Sathyanarayanan, et al.
Published: (2025)
by: Chandramouli, Sathyanarayanan, et al.
Published: (2025)
$\mathrm{U}(N)$ lattice Yang-Mills in the 't Hooft regime
by: Nissim, Ron
Published: (2025)
by: Nissim, Ron
Published: (2025)
Ideal Fermi gas in the Dunkl formalism
by: Zenkhri, Djamel Eddine, et al.
Published: (2025)
by: Zenkhri, Djamel Eddine, et al.
Published: (2025)
Star-exponential for Fermi systems and the Feynman-Kac formula
by: Berra-Montiel, J., et al.
Published: (2026)
by: Berra-Montiel, J., et al.
Published: (2026)
Similar Items
-
The second order Huang-Yang approximation to the Fermi thermodynamic pressure
by: Chen, Xuwen, et al.
Published: (2025) -
The Second Order 2D Behaviors of a 3D Bose Gases in the Gross-Pitaevskii Regime
by: Chen, Xuwen, et al.
Published: (2024) -
The Huang-Yang formula for the low-density Fermi gas: upper bound
by: Giacomelli, Emanuela L., et al.
Published: (2024) -
The Huang-Yang conjecture for the low-density Fermi gas
by: Giacomelli, Emanuela L., et al.
Published: (2025) -
Ground states and droplet regimes of the extended Gross-Pitaevskii equation with Lee-Huang-Yang correction
by: Huang, Weijie, et al.
Published: (2026)