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Fidelity susceptibility study of quantum long-range antiferromagnetic Ising chain

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Affiliation of Author(s):理学院

Title of Paper:Fidelity susceptibility study of quantum long-range antiferromagnetic Ising chain

Journal:PHYSICAL REVIEW A

Key Words:MATRIX RENORMALIZATION-GROUP PROPAGATION SIMULATOR ATOMS

Abstract:We study the fidelity susceptibility of a quantum antiferromagnetic Ising chain with a long-range power-law interaction l/r(alpha) using the large-scale density matrix renormalization group method. We find that the critical adiabatic dimension mu = 2 and the critical exponent of the correlation length v = 1 for arbitrary alpha > 0, indicating all quantum phase transitions are second-order Ising transitions. In addition, we numerically determine the complete phase diagram for 0 < alpha <= 3 from the data collapse of the fidelity susceptibility and show that the critical point h(c) changes monotonously with respect to alpha. This work will shed light on the nature of phase transitions in the quantum long-range antiferromagnetic Ising chain from a quantum information perspective.

ISSN No.:2469-9926

Translation or Not:no

Date of Publication:2017-10-20

Correspondence Author:Gaoyong Sun

Pre One:Fidelity and criticality of a quantum Ising chain with long-range interactions