Dynamics of a strongly coupled polaron

Abstract

We study the dynamics of large polarons described by the Froehlich Hamiltonian in the limit of strong coupling. The initial conditions are (perturbations of) product states of an electron wave function and a phonon coherent state, as suggested by Pekar. We show that, to leading order on the natural time scale of the problem, the phonon field is stationary and the electron moves according to an effective linear Schroedinger equation.

15 pages

Cited by in corpus (20)

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• Effective Potentials Generated by Field Interaction in the Quasi-Classical Limit
• The Landau-Pekar equations: Adiabatic theorem and accuracy
• Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron
• Derivation of the Maxwell-Schrödinger Equations from the Pauli-Fierz Hamiltonian
• The Polaron at Strong Coupling
• Derivation of the Landau-Pekar equations in a many-body mean-field limit
• Ground State Properties in the Quasi-Classical Regime
• Mean-field Dynamics for the Nelson Model with Fermions
• A note on the Fröhlich dynamics in the strong coupling limit
• Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron
• Mean-field limits of particles in interaction with quantized radiation fields
• The effective mass problem for the Landau-Pekar equations
• Bogoliubov Dynamics and Higher-order Corrections for the Regularized Nelson Model
• Microscopic Derivation of Time-dependent Point Interactions
• Bound-state spectrum of an impurity in a quantum vortex
• On the dynamics of the mean-field polaron in the weak-coupling limit