Thermal states of the Kitaev honeycomb model: a Bures metric analysis

Abstract

We analyze the Bures metric over the canonical thermal states for the Kitaev honeycomb mode. In this way the effects of finite temperature on topological phase transitions can be studied. Different regions in the parameter space of the model can be clearly identified in terms of different temperature scaling behavior of the Bures metric tensor. Furthermore, we show a simple relation between the metric elements and the crossover temperature between the quasi-critical and the quasi-classical regions. These results extend the ones of [29,30] to finite temperatures.

6 pages, 2 figures

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• Fidelity in topological quantum phases of matter
• Scaling of the fidelity susceptibility in a disordered quantum spin chain
• Exact resummation of the Holstein-Primakoff expansion and differential equation approach to operator square-roots
• Entanglement modes and topological phase transitions in superconductors
• Revealing divergent length scales using quantum Fisher information in the Kitaev honeycomb model