Cover Image

Quantum Relative Entropy and the Mean-Field Limit

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Guo, Gaoyue, Liang, Hao, Wang, Zhenfu
Format:	Preprint
Published:	2026
Subjects:	Mathematical Physics Analysis of PDEs 81V70 (Primary) 35Q55, 35Q40, 81P16 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Purified Projection Method and Uhlmann Fidelity for Mixed Hartree Dynamics
by: Liang, Hao, et al.
Published: (2026)

Pickl's Proof of the Quantum Mean-Field Limit and Quantum Klimontovich Solutions
by: Porat, Immanuel Ben, et al.
Published: (2022)

Local enhancement of the mean-field approximation for bosons
by: Lemm, Marius, et al.
Published: (2024)

Limited regularity of a specific electronic reduced density matrix for molecules
by: Jecko, Thierry, et al.
Published: (2023)

Bound on the Excess Charge of Generalized Thomas-Fermi-Weizsäcker Functionals
by: Benguria, Rafael D., et al.
Published: (2025)

Bogoliubov Dynamics and Higher-order Corrections for the Regularized Nelson Model
by: Falconi, Marco, et al.
Published: (2021)

Effective quantum dynamics for magnetic fermions
by: Ferrero, Margherita, et al.
Published: (2024)

Derivation of renormalized Hartree-Fock-Bogoliubov and quantum Boltzmann equations in an interacting Bose gas
by: Chen, Thomas, et al.
Published: (2024)

The Euclidean $ϕ^4_2$ theory as a limit of an inhomogeneous Bose gas
by: Caraci, Cristina, et al.
Published: (2026)

Rigorous derivation of an effective model for periodic Schrödinger equations with linear band crossing of Dirac type
by: Danesi, Elena
Published: (2026)

On the relativistic effect in the Dirac--Fock theory
by: Meng, Long
Published: (2025)

Trapped bosons in mean field QED, nonlinear resonance cascades and dynamical BEC formation
by: Chen, Thomas, et al.
Published: (2026)

Uniform in Time Convergence to Bose-Einstein Condensation for a Weakly Interacting Bose Gas with an External Potential
by: Dietze, Charlotte, et al.
Published: (2022)

A Poincaré-Steklov map for the MIT bag model
by: Benhellal, Badreddine, et al.
Published: (2022)

A generalized Liouville equation and magnetic stability
by: Ataei, Alireza, et al.
Published: (2024)

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

Time dependent Schrödinger equation for harmonic oscillator in the Aharonov-Bohm magnetic field
by: Fan, Jiyu, et al.
Published: (2026)

Lyapunov stability and exponential phase-locking of Schrödinger-Lohe quantum oscillators
by: Antonelli, Paolo, et al.
Published: (2024)

A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation
by: Rout, Andrew, et al.
Published: (2022)

A microscopic derivation of Gibbs measures for the 1D focusing quintic nonlinear Schrödinger equation
by: Rout, Andrew, et al.
Published: (2023)

Stochastic Hartree NLS in 3d coming from a Many-Body Quantum System with White Noise Potential
by: De Vecchi, Francesco Carlo, et al.
Published: (2025)

Linearized dynamic stability for vortices of Ginzburg-Landau evolutions
by: Palacios, José M., et al.
Published: (2024)

Convergence of generalized MIT bag models to Dirac operators with zigzag boundary conditions
by: Duran, Joaquim, et al.
Published: (2024)

A connection between quantum dot Dirac operators and $\overline\partial$-Robin Laplacians in the context of shape optimization problems
by: Duran, Joaquim, et al.
Published: (2025)

A Note on the Binding Energy for Bosons in the Mean-field Limit
by: Boßmann, Lea, et al.
Published: (2023)

Eigenvalue bounds for quantum dot Dirac operators
by: Duran, Joaquim
Published: (2026)

Propagation of moments for large data and semiclassical limit to the relativistic Vlasov equation
by: Leopold, Nikolai, et al.
Published: (2022)

Enhanced Stability in Quantum Optimal Transport Pseudometrics: From Hartree to Vlasov-Poisson
by: Iacobelli, Mikaela, et al.
Published: (2024)

Matrix representation of Magnetic pseudo-differential operators via tight Gabor frames
by: Cornean, Horia D., et al.
Published: (2022)

Spectral regularity with respect to dilations for a class of pseudodifferential operators
by: Cornean, Horia D., et al.
Published: (2024)

Inverse scattering for the nonlinear magnetic Schrodinger equation
by: Wei, Lei, et al.
Published: (2025)

Strictly correlated electrons in a quantum ring: from Kohn-Sham to Kantorovich potentials
by: Corso, Thiago Carvalho
Published: (2026)

Thomas-Fermi profile of a fast rotating Bose-Einstein condensate
by: Nguyen, Dinh-Thi, et al.
Published: (2022)

Quantum Systems at The Brink
by: Hundertmark, Dirk, et al.
Published: (2022)

On the effective dynamics of Bose-Fermi mixtures
by: Cárdenas, Esteban, et al.
Published: (2023)

WKB structure in a scalar model of flat bands
by: Dyatlov, Semyon, et al.
Published: (2025)

The semiclassical limit from the Pauli-Poisswell/Darwin to the Euler-Poisswell/Darwin system by WKB methods
by: Mauser, Norbert J., et al.
Published: (2023)

Boundedness of the Fifth Derivative for the One-Particle Coulombic Density Matrix at the Diagonal
by: Hearnshaw, Peter
Published: (2023)

Higher-Dimensional Anyons via Higher Cohomotopy
by: Kallel, Sadok, et al.
Published: (2026)

Pointwise bounds on confined states in non-relativistic QED
by: Griesemer, M., et al.
Published: (2023)