Physics – Quantum Physics
Scientific paper
2000-12-18
Physics
Quantum Physics
18 pages RevTex
Scientific paper
10.1103/PhysRevA.64.053406
When an ion confined in a linear ion trap interacts with a coherent laser field, the internal degrees of freedom, related to the electron transitions, couple to the vibrational degree of freedom of the ion. As a result of this interaction, quantum dynamics of the vibrational degree of freedom becomes complicated, and in some ranges of parameters even chaotic. We analyze the vibrational ion dynamics using a formal analogy with the solid-state problem of electron localization. In particular, we show how the resonant approximation used in analysis of the ion dynamics, leads to a transition from a two-dimensional (2D) to a one-dimensional problem (1D) of electron localization. The localization length in the solid-state problem is estimated in cases of weak and strong interaction between the cites of the 2D cell by using the methods of resonance perturbation theory, common in analysis of 1D time-dependent dynamical systems.
Berman Gennady P.
Bishop Alan R.
Hughes Jonathon R.
James Daniel F. V.
Kamenev Dimitry I.
No associations
LandOfFree
Dynamical Stability of an Ion in a Linear Trap as a Solid-State Problem of Electron Localization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dynamical Stability of an Ion in a Linear Trap as a Solid-State Problem of Electron Localization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamical Stability of an Ion in a Linear Trap as a Solid-State Problem of Electron Localization will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-256613