Theory of nonlinear Landau-Zener tunneling

By Jie Liu, L. Fu, B. Ou, Shi-gang Chen, Q. Niu. 2001

193 citations recorded by the source corpus.

We present a comprehensive analysis of the nonlinear Landau-Zener tunneling. We find characteristic scaling or power laws for the critical behavior that occurs as the nonlinear parameter equals to the gap of avoided crossing energy levels. For the nonlinear parameter larger than the energy gap, a closed-form solution is derived for the nonlinear tunneling probability, which is shown to be a good approximation to the exact solution for a wide range of the parameters. Finally, we discuss the experimental realization of the nonlinear model and possible observation of the scaling or power laws using a Bose-Einstein condensate in an accelerating optical lattice.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/b8442356d858f0d2ef3385a5df2d8e480c72cb63

How researchers see this paper

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In Atomic and Molecular Physics, and Optics

1. O. Morsch
2. Markus K. Oberthaler
3. Boris A. Malomed

Citations in the corpus

• Dynamics of Bose-Einstein condensates in optical lattices (2006, background): “It has also been shown theoretically and experimentally that the influence of nonlinearity can drastically change this behavior Wu and Niu, 2000; Morsch et al., 2001; Liu et al., 2002 .”