Fidelity analysis of topological quantum phase transitions

Abstract

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.

4 pages

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Cited by in corpus (8)

• Universal entanglement entropy in 2D conformal quantum critical points
• Fidelity in topological quantum phases of matter
• Reduced fidelity in topological quantum phase transitions
• Scaling of the fidelity susceptibility in a disordered quantum spin chain
• Thermal states of the Kitaev honeycomb model: a Bures metric analysis
• Ground-state fidelity in the BCS-BEC crossover
• Density-functional fidelity approach to quantum phase transitions
• Finite-Temperature Fidelity-Metric Approach to the Lipkin-Meshkov-Glick Model