Bures metric over thermal state manifolds and quantum criticality

  title={Bures metric over thermal state manifolds and quantum criticality},
  author={Paolo Zanardi and Lorenzo Campos Venuti and Paolo Giorda},
  journal={Physical Review A},
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 one to complement the understanding of the phase diagram including crossover regions which are not characterized… Expand

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