Nonlinear level crossing models

Details Nonlinear level crossing models Nonlinear level crossing models

1998-11-24

arxiv.org/abs/quant-ph/9811065v1

Physics

Quantum Physics

9 pages final postscript file, two-column revtex style, 5 figures

Scientific paper

10.1103/PhysRevA.59.4580

We examine the effect of nonlinearity at a level crossing on the probability for nonadiabatic transitions $P$. By using the Dykhne-Davis-Pechukas formula, we derive simple analytic estimates for $P$ for two types of nonlinear crossings. In the first type, the nonlinearity in the detuning appears as a {\it perturbative} correction to the dominant linear time dependence. Then appreciable deviations from the Landau-Zener probability $P_{LZ}$ are found to appear for large couplings only, when $P$ is very small; this explains why the Landau-Zener model is often seen to provide more accurate results than expected. In the second type of nonlinearity, called {\it essential} nonlinearity, the detuning is proportional to an odd power of time. Then the nonadiabatic probability $P$ is qualitatively and quantitatively different from $P_{LZ}$ because on the one hand, it vanishes in an oscillatory manner as the coupling increases, and on the other, it is much larger than $P_{LZ}$. We suggest an experimental situation when this deviation can be observed.

Affiliated with

Also associated with

No associations

Rating

Nonlinear level crossing models 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 Nonlinear level crossing models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear level crossing models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-347479