2009/05/19 by Jinhua Liu, Qian‐Qian Shi, Liu, Jin-Hua +5
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum many-body systems #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.0905.3031
openalex publication_date 2009/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish an intriguing connection between quantum phase transitions and bifurcations in the reduced fidelity between two different reduced density matrices for quantum lattice many-body systems with symmetry-breaking orders. Our finding is based on the observation that, in the conventional Landau-Ginzburg-Wilson paradigm, a quantum system undergoing a phase transition is characterized in terms of spontaneous symmetry breaking that is captured by a local order parameter, which in turn results in an essential change of the reduced density matrix in the symmetry-broken phase. Two quantum systems on an infinite lattice in one spatial dimension, i.e., quantum Ising model in a transverse magnetic field and quantum spin 1/2 XYX model in an external magnetic field, are considered in the context of the tensor network algorithm based on the matrix product state representation.