Quantum and classical dynamics of Langmuir wave packets

Tunneling dynamics and spawning with adaptive semi-classical wave-packets Tunneling dynamics and spawning with adaptive semi-classical wave-packets

Tunneling dynamics and spawning with adaptive semi-classical wave-packets V. Gradinaru, G.A. Hagedorn, and A. Joye Seminar for Applied Mathematics, ETH Zürich, CH-8092 Zürich, Switzerland. Department of Mathematics and Center for Statistical Mechanics, Mathematical Physics, and Theoretical Chemistry, Virginia Tech, Blacksburg, Virginia 24061-0123, USA. Institut Fourier, Université de Grenoble 1...

Vlasov simulation of Langmuir wave packets

Amplitude modulation and packet formation of Langmuir waves are commonly observed during a nonlinear interaction between electron beams and plasmas. In this paper, we briefly review the history of Langmuir wave packets as developed by recent spacecraft observations and computer simulations. New one-dimensional electrostatic Vlasov simulations are performed to study their formation processes. It...

Tunneling dynamics and spawning with adaptive semi-classical wave-packets

From quantum theory to classical dynamics under the reduction of wave packets

A quantum master equation of the Lindblad form is obtained in this paper by considering the reduction of wave packets. Different classical equations are derived after exactly mapping such a quantum master equation to a continuous time random walk (CTRW). Although this CTRW is a quasiclassical walk, the effects due to the quantum interference can still be important in such a walk. It is shown th...

Quantum-classical dynamics of wave fields.

An approach to the quantum-classical mechanics of phase space dependent operators, which has been proposed recently, is remodeled as a formalism for wave fields. Such wave fields obey a system of coupled nonlinear equations that can be written by means of a suitable non-Hamiltonian bracket. As an example, the theory is applied to the relaxation dynamics of the spin-boson model. In the adiabatic...