title: Universal construction of order parameters for translation-invariant quantum lattice systems with symmetry-breaking order.
abstract: For any translation-invariant quantum lattice system with a symmetry group G, we propose a practical and universal construction of order parameters which identify quantum phase transitions with symmetry-breaking order. They are defined in terms of the fidelity between a ground state and its symmetry-transformed counterpart, and are computed through tensor network representations of the ground-state wave function. To illustrate our scheme, we consider three quantum systems on an infinite lattice in one spatial dimension, namely, the quantum Ising model in a transverse magnetic field, the quantum spin-1/2XYX model in an external magnetic field, and the quantum spin-1 XXZ model with single-ion anisotropy. All these models have symmetry group Z(2) and exhibit broken-symmetry phases. We also discuss the role of the order parameters in identifying factorized states.
authors.affiliation: Centre for Modern Physics and Department of Physics, Chongqing University, Chongqing 400044, People's Republic of China.
authors.forename: Jin-Hua
authors.initials: JH
authors.lastname: Liu
authors.forename: Qian-Qian
authors.initials: QQ
authors.lastname: Shi
authors.forename: Hong-Lei
authors.initials: HL
authors.lastname: Wang
authors.forename: Jon
authors.initials: J
authors.lastname: Links
authors.forename: Huan-Qiang
authors.initials: HQ
authors.lastname: Zhou