Many body generalization of the Landau Zener problem

Details Many body generalization of the Landau Zener problem Many body generalization of the Landau Zener problem

2007-09-17

arxiv.org/abs/0709.2526v1

Phys. Rev. Lett. 100, 063602 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevLett.100.063602

We formulate and approximately solve a specific many-body generalization of the Landau-Zener problem. Unlike with the single particle Landau-Zener problem, our system does not abide in the adiabatic ground state, even at very slow driving rates. The structure of the theory suggests that this finding reflects a more general phenomenon in the physics of adiabatically driven many particle systems. Our solution can be used to understand, for example, the behavior of two-level systems coupled to an electromagnetic field, as realized in cavity QED experiments.

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