Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-12-29
Phys. Rev. A 77, 032111 (2008)
Physics
Condensed Matter
Other Condensed Matter
5 pages, 3 figures
Scientific paper
10.1103/PhysRevA.77.032111
The notion of fidelity in quantum information science has been recently applied to analyze quantum phase transitions from the viewpoint of the ground state (GS) overlap for various many-body systems. In this work, we unveil the intrinsic relation between the GS fidelity and the derivatives of GS energy and find that they play equivalent role in identifying the quantum phase transition. The general connection between the two approaches enables us to understand the different singularity and scaling behaviors of fidelity exhibited in various systems on general grounds. Our general conclusions are illustrated via several quantum spin models which exhibit different kinds of QPTs.
Chen Shu
Hao Yajiang
Wang Li
Wang Yupeng
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