Physics – Quantum Physics
Scientific paper
2008-05-26
Phys. Rev. A 78, 062302 (2008)
Physics
Quantum Physics
5 pages, 4 figures
Scientific paper
10.1103/PhysRevA.78.062302
The global-state fidelity cannot characterize those quantum phase transitions (QPTs) induced by continuous level crossing due to its collapse around each crossing point. In this paper, we take the isotropic Lipkin-Meshkov-Glick (LMG) model and the antiferromagnetic one-dimensional Heisenberg model as examples to show that the partial-state fidelity can signal such level-crossing QPTs. Extending to the thermodynamic limit we introduce the partial-state fidelity susceptibility and study its scaling behavior. The maximum of the partial-state fidelity susceptibility goes like $N$ for the LMG model and $N^3$ for the Heisenberg model.
Gu Shi-Jian
Ho Chun-Sing
Kwok Ho-Man
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