Time-dependent driven anharmonic oscillator and the adiabaticity

Abstract

We use the Liouville-von Neumann (LvN) approach to study the dynamics and the adiabaticity of a time-dependent driven anharmonic oscillator as an eample of non-equilibrium quantum dynamics. We show that the adiabaticity is minimally broken in the sense that a gaussian wave-packet at the past infinity evolves to coherent states, however slowly the potential changes, its coherence factor is order of the coupling. We also show that the dynamics are governed by an equation of motion similar to the Kepler motion which satisfies the angular momentum conservation.

20 pages

References in corpus (2)

• Nonequilibrium Quantum Dynamics of Second Order Phase Transitions
• Path integral for a pair of time-dependent coupled and driven oscillators

Cited by in corpus (2)

• Canonical quantization of so-called non-Lagrangian systems
• Integrability cases for the anharmonic oscillator equation