Reduced fidelity susceptibility and its finite-size scaling behaviors

Abstract

We derive a general formula of the reduced fidelity susceptibility when the reduced density matrix is $2\times 2$ block-diagonal. By using this result and the continuous unitary transformations, we study finite-size scaling of the reduced fidelity susceptibility in the Lipkin-Meshkov-Glick Model. It is found that it can be used to characterize quantum phase transitions, implying that we can extract information of quantum phase transitions only from the fidelity of a subsystem, which is of practical meaning in experiments.

7 pages, 3 figures

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Cited by in corpus (4)

• Reduced fidelity in topological quantum phase transitions
• Spin-1/2 Heisenberg ladder: variation of entanglement and fidelity measures close to quantum critical points
• Finite-Temperature Fidelity-Metric Approach to the Lipkin-Meshkov-Glick Model
• Reduced fidelity approach for quantum phase transitions in spin-1/2 dimerized Heisenberg chains