Bures metric over thermal state manifolds and quantum criticality

Details Bures metric over thermal state manifolds and quantum criticality Bures metric over thermal state manifolds and quantum criticality

2007-07-18

arxiv.org/abs/0707.2772v2

Phys. Rev. A 76, 062318 (2007)

Physics

Quantum Physics

9 pages, 4 figures, LaTeX problems fixed, references added

Scientific paper

10.1103/PhysRevA.76.062318

We analyze the Bures metric over the manifold of thermal density matrices for systems featuring a zero temperature quantum phase transition. We show that the quantum critical region can be characterized in terms of the temperature scaling behavior of the metric tensor itself. Furthermore, the analysis of the metric tensor when both temperature and an external field are varied, allows to complement the understanding of the phase diagram including cross-over regions which are not characterized by any singular behavior. These results provide a further extension of the scope of the metric approach to quantum criticality.

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