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

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Affiliation of Author(s):理学院

Title of Paper:Fidelity and criticality of a quantum Ising chain with long-range interactions

Journal:PHYSICAL REVIEW A

Key Words:MATRIX RENORMALIZATION-GROUP PHASE-TRANSITION SIMULATOR PROPAGATION

Abstract:We study the criticality of a long-range quantum ferromagnetic Ising chain with algebraically decaying interactions 1/r(alpha) via the fidelity susceptibility based on the exact diagonalization and the density-matrix renormalization-group techniques. We find that critical exponents change monotonically from the mean-field universality class to the short-range Ising universality class for intermediate alpha, which are consistent with recent results obtained from renormalization-group techniques. In addition, we determine the critical values for 1.8 <= a <= 3 from the finite-size scaling of the fidelity susceptibility. Our work provides very nice numerical data from the fidelity susceptibility for the quantum long-range ferromagnetic Ising chain.

ISSN No.:2469-9926

Translation or Not:no

Date of Publication:2018-08-07

Co-author:朱张琪,WenLong You,Shi Daning

Correspondence Author:孙高永,施大宁,孙高永,Shi Daning

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