Time-dependent driven anharmonic oscillator and the adiabaticity

Details Time-dependent driven anharmonic oscillator and the adiabaticity Time-dependent driven anharmonic oscillator and the adiabaticity

2002-04-15

arxiv.org/abs/hep-th/0204116v1

Phys.Rev. A66 (2002) 032117

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1103/PhysRevA.66.032117

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.

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