Cover Image

The Gibbs state of the mean-field Bose gas

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Deuchert, Andreas, Nam, Phan Thành, Napiórkowski, Marcin
Format:	Preprint
Published:	2025
Subjects:	Mathematical Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A note on spontaneous symmetry breaking in the mean-field Bose gas
by: Deuchert, Andreas, et al.
Published: (2025)

Ground state energy of the dilute Bose-Hubbard gas on Bravais lattices
by: Mokrzański, Norbert, et al.
Published: (2026)

Beliaev damping in Bose gas
by: Dereziński, Jan, et al.
Published: (2023)

The Bogoliubov-Bose-Hubbard model: existence of minimizers and absence of quantum phase transition
by: Mokrzański, Norbert, et al.
Published: (2024)

Derivation of Gibbs measure from Gibbs state with the fractional Bessel interaction in Two Dimensions
by: Nam, Phan Thành, et al.
Published: (2026)

Exponential bounds of the condensation for dilute Bose gases
by: Nam, Phan Thành, et al.
Published: (2023)

$Φ^4_3$ Theory from many-body quantum Gibbs states
by: Nam, Phan Thành, et al.
Published: (2025)

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)

Derivation of the focusing $Φ^6_1$ measure in the optimal mass regime from many-body quantum Gibbs states
by: Lü, Lin, et al.
Published: (2026)

Dispersive estimates and long-time validity for Bogoliubov dynamics of interacting Bose gases
by: Nam, Phan Thành, et al.
Published: (2025)

Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit
by: Boccato, Chiara, et al.
Published: (2023)

A new upper bound on the specific free energy of dilute Bose gases
by: Basti, Giulia, et al.
Published: (2025)

Spin-orbit coupled mean-field Bose gas at finite temperature
by: Jakubczyk, Pawel, et al.
Published: (2024)

Positive-density ground states of the Gross-Pitaevskii equation
by: Lewin, Mathieu, et al.
Published: (2023)

Dynamics of mean-field bosons at positive temperature
by: Caporaletti, Marco, et al.
Published: (2022)

Second Order Expansion of Gibbs State Reduced Density Matrices in the Gross-Pitaevskii Regime
by: Brennecke, Christian, et al.
Published: (2023)

The Huang-Yang conjecture for the low-density Fermi gas
by: Giacomelli, Emanuela L., et al.
Published: (2025)

The free energy of dilute Bose gases at low temperatures
by: Haberberger, Florian, et al.
Published: (2023)

Clustering Theorem for Bose-Hubbard class Gibbs states
by: Tong, Xin-Hai, et al.
Published: (2024)

The Huang-Yang formula for the low-density Fermi gas: upper bound
by: Giacomelli, Emanuela L., et al.
Published: (2024)

Minimizing sequences of Sobolev inequalities revisited
by: Dietze, Charlotte, et al.
Published: (2024)

The Correlation Energy of the Electron Gas in the Mean-Field Regime
by: Christiansen, Martin Ravn, et al.
Published: (2024)

Dynamics and equilibrium states of infinite systems of lattice bosons
by: Deuchert, Andreas, et al.
Published: (2025)

Persistence of translational symmetry in the BCS model with radial pair interaction
by: Deuchert, Andreas, et al.
Published: (2016)

Strong decay of correlations for Gibbs states in any dimension
by: Bluhm, Andreas, et al.
Published: (2024)

Hardy-Sobolev interpolation inequalities
by: Dietze, Charlotte, et al.
Published: (2023)

Kinetic localization via Poincaré-type inequalities and applications to the condensation of Bose gases
by: Chong, Jacky J., et al.
Published: (2025)

On local quantum Gibbs states
by: Duboscq, Romain, et al.
Published: (2020)

The Lieb-Thirring inequality revisited
by: Frank, Rupert L., et al.
Published: (2018)

Thermal Casimir effect in the spin-orbit coupled Bose gas
by: Napiórkowski, Marek, et al.
Published: (2025)

On the asymptotic behavior at the kinetic time of a weakly interacting Fermi gas
by: Madsen, Peter S., et al.
Published: (2026)

Collective behaviors of an electron gas in the mean-field regime
by: Yang, Dong Hao Ou
Published: (2025)

Ground state energy of a dilute Bose gas with three-body hard-core interactions
by: Junge, Lukas, et al.
Published: (2024)

Ground state energy of the low density Bose gas with two-body and three-body interactions
by: Visconti, François L. A.
Published: (2024)

Quasicrystalline Gibbs states in 4-dimensional lattice-gas models with finite-range interactions
by: Taati, Siamak, et al.
Published: (2025)

Expansion of the Many-body Quantum Gibbs State of the Bose-Hubbard Model on a Finite Graph
by: Ammari, Zied, et al.
Published: (2024)

Rapid mixing for high-temperature Gibbs states with arbitrary external fields
by: Bakshi, Ainesh, et al.
Published: (2026)

An Introduction to Lieb's Simplified approach to the Bose gas
by: Jauslin, Ian
Published: (2023)

Damping of phonons in Bose gas at low temperatures
by: Dereziński, Jan, et al.
Published: (2026)

From decay of correlations to locality and stability of the Gibbs state
by: Capel, Ángela, et al.
Published: (2023)