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arXiv · 0709.2526

Many body generalization of the Landau Zener problem

Alexander Altland·V. Gurarie
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Abstract

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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Alexander Altland, V. Gurarie. 2007-09-17. Many body generalization of the Landau Zener problem. https://doi.org/10.1103/physrevlett.100.063602

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