Topology hidden behind the breakdown of adiabaticity

Details Topology hidden behind the breakdown of adiabaticity Topology hidden behind the breakdown of adiabaticity

2005-02-21

arxiv.org/abs/physics/0502108v1

Phys. Rev. E 71, 016607 (2005)

Physics

Classical Physics

6 pages, 2 figures

Scientific paper

10.1103/PhysRevE.71.016607

For classical Hamiltonian systems, the adiabatic condition may fail at some critical points. However, the breakdown of the adiabatic condition does not always make the adiabatic evolution be destroyed. In this paper, we suggest a supplemental condition of the adiabatic evolution for the fixed points of classical Hamiltonian systems when the adiabatic condition breaks down at the critical points. As an example, we investigate the adiabatic evolution of the fixed points of a classical Hamiltonian system which has a number of applications.

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