Berry Phases with Real Hamiltonians With and Without a Many-body System as a Background

Details Berry Phases with Real Hamiltonians With and Without a Many-body System as a Background Berry Phases with Real Hamiltonians With and Without a Many-body System as a Background

1996-05-29

arxiv.org/abs/quant-ph/9605040v2

Physics

Quantum Physics

4 pages RevTex, uses epsf,twocolumn, 3 embedded postscript figures, submitted to PRL, acknowledgement appended

Scientific paper

We present both the gauge theoretic description and the numerical calculations of the Berry phases with the real eigenstates, involving one with a many-body system as a background and the other with no such background. We demonstrate that for the former the sign of the Berry phase factor for a spin $\f{1}{2}$ particle (hole) coupled to a slow subsystem (phonon) depends on both the strength of electron correlations and the characteristics of the closed paths, unlike the cases for the latter.

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