High-order fidelity and quantum phase transition for the Heisenberg chain with next-nearest-neighbor interaction

Details High-order fidelity and quantum phase transition for the Heisenberg chain with next-nearest-neighbor interaction High-order fidelity and quantum phase transition for the Heisenberg chain with next-nearest-neighbor interaction

2009-03-25

arxiv.org/abs/0903.4242v2

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

In this article, we study the high order term of the fidelity of the Heisenberg chain with next-nearest-neighbor interaction and analyze its connection with quantum phase transition of Beresinskii-Kosterlitz-Thouless type happened in the system. We calculate the fidelity susceptibility of the system and find that although the phase transition point can't be well characterized by the fidelity susceptibility, it can be effectively picked out by the higher order of the ground-state fidelity for finite-size systems.

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