Large deviation estimates for weakly interacting bosons

DOI10.1007/s10955-022-02940-4OpenAlexW4226405104MaRDI QIDQ2672032

Robert Seiringer, Simone Rademacher

Publication date: 8 June 2022

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.01999

zbMATH Keywords

large deviation principleBose-Einstein condensatesmany-body quantum dynamicsmean-field regime

Mathematics Subject Classification ID

Large deviations (60F10) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Many-body theory; quantum Hall effect (81V70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs in connection with statistical mechanics (35Q82) Bosonic systems in quantum theory (81V73)

Related Items (3)

Dependent random variables in quantum dynamics ⋮ Weak Edgeworth expansion for the mean-field Bose gas ⋮ Exponential decay of the number of excitations in the weakly interacting Bose gas

Cites Work

• Unnamed Item
• On the rate of convergence for the mean field approximation of bosonic many-body quantum dynamics
• Second-order corrections to mean field evolution of weakly interacting bosons. I
• Rate of convergence towards Hartree dynamics
• Second-order corrections to mean field evolution for weakly interacting bosons in the case of three-body interactions
• On the mean-field limit of bosons with Coulomb two-body interaction
• Mean-field dynamics: Singular potentials and rate of convergence
• Quantum fluctuations and rate of convergence towards mean field dynamics
• The classical field limit of scattering theory for non-relativistic many- boson systems. II
• Weak coupling limit of the \(N\)-particle Schrödinger equation
• Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
• Multivariate central limit theorem in quantum dynamics
• A large deviation principle in many-body quantum dynamics
• Central limit theorem for Bose gases interacting through singular potentials
• A central limit theorem in many-body quantum dynamics
• Gross-Pitaevskii dynamics for Bose-Einstein condensates
• Rigorous derivation of the cubic NLS in dimension one
• Beyond Bogoliubov dynamics
• A Short Proof of Cramér's Theorem in ℝ
• Atomism and quantization
• Fluctuations around Hartree states in the mean-field regime
• Bogoliubov Spectrum of Interacting Bose Gases
• Bogoliubov corrections and trace norm convergence for the Hartree dynamics
• Central limit theorem for Bose-Einstein condensates

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