Fidelity, dynamic structure factor, and susceptibility in critical phenomena.

Fidelity, dynamic structure factor, and susceptibility in critical phenomena.
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DOI:
10.1103/physreve.76.022101
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发表时间:
2007-01
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
W. You;Ying-Wai Li;S. Gu
W. You;Ying-Wai Li;S. Gu
中科院分区:
其他
文献类型:
--
作者:
W. You;Ying-Wai Li;S. Gu

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由于保真度在量子临界现象中的重要性日益增加,我们通过保真度磁化率的概念建立了哈密顿量中驱动项的保真度和结构因子之间的一般关系。我们的发现,如所示的一些例子,有利于保真度的评价方面的敏感性,使用发达的技术,如密度矩阵重整化群的基态,或蒙特卡罗模拟的状态在热平衡。
Motivated by the growing importance of fidelity in quantum critical phenomena, we establish a general relation between the fidelity and structure factor of the driving term in a Hamiltonian through the concept of fidelity susceptibility. Our discovery, as shown by some examples, facilitates the evaluation of fidelity in terms of susceptibility using well-developed techniques, such as density matrix renormalization group for the ground state, or Monte Carlo simulations for the states in thermal equilibrium.