Quantum phase transitions and bifurcations: reduced fidelity as a phase transition indicator for quantum lattice many-body systems

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dc.creatorLiu, Jin-Hua
dc.creatorShi, Qian-Qian
dc.creatorZhao, Jian-Hui
dc.creatorZhou, Huan-Qiang
dc.date2009-05-19
dc.date.accessioned2026-07-07T13:16:26Z
dc.date.available2026-07-07T13:16:26Z
dc.descriptionWe 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.
dc.description4+ pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0905.3031
dc.identifierhttp://arxiv.org/abs/0905.3031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230788
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleQuantum phase transitions and bifurcations: reduced fidelity as a phase transition indicator for quantum lattice many-body systems
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