Fidelity analysis of topological quantum phase transitions

Details Fidelity analysis of topological quantum phase transitions Fidelity analysis of topological quantum phase transitions

2008-03-14

arxiv.org/abs/0803.2243v2

Phys. Rev. A 78, 010301(R), 2008.

Physics

Quantum Physics

4 pages

Scientific paper

10.1103/PhysRevA.78.010301

We apply the fidelity metric approach to analyze two recently introduced models that exhibit a quantum phase transition to a topologically ordered phase. These quantum models have a known connection to classical statistical mechanical models; we exploit this mapping to obtain the scaling of the fidelity metric tensor near criticality. The topological phase transitions manifest themselves in divergences of the fidelity metric across the phase boundaries. These results provide evidence that the fidelity approach is a valuable tool to investigate novel phases lacking a clear characterization in terms of local order parameters.

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