Reduced fidelity susceptibility and its finite-size scaling behaviors in the Lipkin-Meshkov-Glick model

2008/05/27 by Jian Ma, Lei Xu, Heng-Na Xiong +2
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Block (permutation group theory) #Chemistry #Cold Atom Physics and Bose-Einstein Condensates #Combinatorics #Computer science #Diagonal #Fidelity #Mathematical physics #Mathematics #Phase (matter) #Physics #Quantum #Quantum Information and Cryptography #Quantum many-body systems #Quantum mechanics #Scaling #Statistical physics #Transformation (genetics) #Unitary state #Unitary transformation #quant-ph

paper · pdf · doi:10.1103/physreve.78.051126

published as Phys. Rev. E 78, 051126 (2008) · 7 pages, 3 figures

arxiv created 2008/05/27 · openalex publication_date 2008/11/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We derive a general formula for the reduced fidelity susceptibility when the reduced density matrix is 2x2 block diagonal. By using this result and a continuous unitary transformation, we study finite-size scaling of the reduced fidelity susceptibility in the Lipkin-Meshkov-Glick model. It is found that it can well characterize quantum phase transitions, that is, we can extract information about quantum phase transitions from only the fidelity of a subsystem, which is of practical use in experiments.

Citations

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