Adiabatic geometric phases and response functions

Details Adiabatic geometric phases and response functions Adiabatic geometric phases and response functions

1998-04-23

arxiv.org/abs/chao-dyn/9804037v1

Phys. Rev. Lett. vol.80, pp. 650-653 (1998)

Nonlinear Sciences

Chaotic Dynamics

4 pages, LaTeX

Scientific paper

10.1103/PhysRevLett.80.650

Treating a many-body Fermi system in terms of a single particle in a deforming mean field. We relate adiabatic geometric phase to susceptibility for the noncyclic case, and to its derivative for the cyclic case. Employing the semiclassical expression of susceptibility, the expression for geometric phase for chaotic quantum system immediately follows. Exploiting the well-known association of the absorptive part of susceptibility with dissipation, our relations may provide a quantum mechanical origin of the damping of collective excitations in Fermi systems.

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