Fidelity, dynamic structure factor, and susceptibility in critical phenomena

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

2007-01-12

arxiv.org/abs/quant-ph/0701077v2

Phys. Rev. E 76, 022101 (2007)

Physics

Quantum Physics

4 pages, 2 figures, final version accepted by PRE

Scientific paper

10.1103/PhysRevE.76.022101

Motivated by the growing importance of fidelity in quantum critical phenomena, we establish a general relation between fidelity and structure factor of the driving term in a Hamiltonian through a newly introduced concept: 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.

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