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- W2076435648 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 wavefunction. 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-1/2 XYX 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." @default.
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- W2076435648 date "2009-09-16" @default.
- W2076435648 modified "2023-09-27" @default.
- W2076435648 title "Universal construction of order parameters for translation-invariant quantum lattice systems with symmetry-breaking order" @default.
- W2076435648 hasPublicationYear "2009" @default.
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