Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron

DOI10.2140/paa.2021.3.653zbMath1491.35362arXiv2005.02098OpenAlexW3022621464MaRDI QIDQ2668152

Robert Seiringer, David Mitrouskas, Benjamin Schlein, Nikolai Leopold, Simone Rademacher

Publication date: 3 March 2022

Published in: Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02098

zbMATH Keywords

quantum fluctuationsLandau-Pekar equationspolaron dynamicsBogoliubov dynamics

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) PDEs in connection with quantum mechanics (35Q40) Applications of functional analysis in quantum physics (46N50)

Related Items (5)

Derivation of the Maxwell–Schrödinger equations: A note on the infrared sector of the radiation field ⋮ Norm approximation for the Fröhlich dynamics in the mean-field regime ⋮ Bogoliubov dynamics and higher-order corrections for the regularized Nelson model ⋮ Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron ⋮ Ubiquity of bound states for the strongly coupled polaron

Cites Work

• Dynamics of a strongly coupled polaron
• Derivation of an effective evolution equation for a strongly coupled polaron
• A non-linear adiabatic theorem for the one-dimensional Landau-Pekar equations
• Partially classical limit of the Nelson model
• A note on the Fröhlich dynamics in the strong coupling limit
• Exact ground state energy of the strong-coupling polaron
• Adiabatic perturbation theory in quantum dynamics
• Mean-field dynamics for the Nelson model with fermions
• Gross-Pitaevskii dynamics for Bose-Einstein condensates
• Derivation of the Landau-Pekar equations in a many-body mean-field limit
• Ground-State Energy and Effective Mass of the Polaron
• Fluctuations around Hartree states in the mean-field regime
• On the dynamics of polarons in the strong-coupling limit
• Bohr's Correspondence Principle for the Renormalized Nelson Model
• Derivation of the Maxwell--Schrödinger Equations from the Pauli--Fierz Hamiltonian
• The polaron at strong coupling
• Classical limit of the Nelson model with cutoff
• THE POLARON REVISITED

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