Hamiltonian dynamics of a particle interacting with a wave field

Abstract

We study the Hamiltonian equations of motion of a heavy tracer particle interacting with a dense weakly interacting Bose-Einstein condensate in the classical (mean-field) limit. Solutions describing ballistic subsonic motion of the particle through the condensate are constructed. We establish asymptotic stability of ballistic subsonic motion.

39 pages

References in corpus (4)

• Orbital stability of the black soliton to the Gross-Pitaevskii equation
• Friction in a Model of Hamiltonian Dynamics
• Some Hamiltonian Models of Friction II
• Some Hamiltonian Models of Friction

Cited by in corpus (6)

• Emission of Cherenkov Radiation as a Mechanism for Hamiltonian Friction
• Quantum dynamics of Bose-polaron in a $d$-dimensional Bose Einstein condensate
• The effective mass problem for the Landau-Pekar equations
• Quantum Diffusion with Drift and the Einstein Relation I
• The excitation spectrum of a Bose gas with an impurity in the Gross-Pitaevskii regime
• A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate