Bures metric over thermal state manifolds and quantum criticality
arXiv:0707.2772 · doi:10.1103/PhysRevA.76.062318
Abstract
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.
9 pages, 4 figures, LaTeX problems fixed, references added
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- Fidelity approach to Gaussian transitions
- Reduced fidelity susceptibility and its finite-size scaling behaviors
- Macroscopic Distinguishability Between Quantum States Defining Different Phases of Matter: Fidelity and the Uhlmann Geometric Phase
- Scaling of the fidelity susceptibility in a disordered quantum spin chain
- Ground-state fidelity of Luttinger liquids: A wave functional approach
- Thermal states of the Kitaev honeycomb model: a Bures metric analysis
- Quantum Chernoff Bound metric for the XY model at finite temperature
- Finite-Temperature Fidelity-Metric Approach to the Lipkin-Meshkov-Glick Model