Dynamics of a tracer particle interacting with excitations of a Bose-Einstein condensate

DOI10.1007/s00023-022-01153-5zbMath1496.82015arXiv2011.14428OpenAlexW3110489918MaRDI QIDQ2159079

Jonas Lampart, Peter Pickl

Publication date: 26 July 2022

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.14428

zbMATH Keywords

Schrödinger equationBose-Einstein condensateinteracting bosons

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Time-dependent Schrödinger equations and Dirac equations (35Q41) Bosonic systems in quantum theory (81V73)

Related Items (1)

Tracer particles coupled to an interacting boson gas

Cites Work

• Unnamed Item
• Dynamics of sound waves in an interacting Bose gas
• The excitation spectrum for weakly interacting Bosons in a trap
• Pair excitations and the mean field approximation of interacting Bosons. I
• Excitation spectrum of interacting bosons in the mean-field infinite-volume limit
• The mathematics of the Bose gas and its condensation.
• Second-order corrections to mean field evolution of weakly interacting bosons. I
• The excitation spectrum for weakly interacting bosons
• Second-order corrections to mean field evolution of weakly interacting bosons. II
• The classical field limit of scattering theory for non-relativistic many- boson systems. I
• The classical field limit of scattering theory for non-relativistic many- boson systems. II
• Mean field dynamics of a quantum tracer particle interacting with a boson gas
• Bogoliubov correction to the mean-field dynamics of interacting bosons
• Asymptotic expansion of the mean-field approximation
• Complete Bose-Einstein condensation in the Gross-Pitaevskii regime
• Higher order corrections to the mean-field description of the dynamics of interacting bosons
• Bogoliubov theory in the Gross-Pitaevskii limit
• Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger
• Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit
• Derivation of the Bogoliubov time evolution for a large volume mean-field limit
• Fluctuations of \(N\)-particle quantum dynamics around the nonlinear Schrödinger equation
• Exact evolution versus mean field with second-order correction for bosons interacting via short-range two-body potential.
• A note on the validity of Bogoliubov correction to mean-field dynamics
• Norm approximation for many-body quantum dynamics: Focusing case in low dimensions
• The translation invariant massive Nelson model. I: The bottom of the spectrum
• Beyond Bogoliubov dynamics
• Some Hamiltonian models of friction
• Bose gases, Bose–Einstein condensation, and the Bogoliubov approximation
• Effective Evolution Equations from Quantum Dynamics
• Pair excitations and the mean field approximation of interacting Bosons, II
• Fluctuations around Hartree states in the mean-field regime
• Mathematical Concepts of Quantum Mechanics
• The renormalized Bogoliubov–Fröhlich Hamiltonian
• Bogoliubov Spectrum of Interacting Bose Gases
• Bogoliubov corrections and trace norm convergence for the Hartree dynamics
• Asymptotic expansion of low-energy excitations for weakly interacting bosons

This page was built for publication: Dynamics of a tracer particle interacting with excitations of a Bose-Einstein condensate