Fidelity susceptibility study of quantum long-range antiferromagnetic Ising chain

作者：Sun, Gaoyong^*

来源：Physical Review A, 2017, 96(4): 043621.

DOI：10.1103/PhysRevA.96.043621

• MATRIX RENORMALIZATION-GROUP
• PROPAGATION
• SIMULATOR
• ATOMS

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.

• 出版日期2017-10-20
• 单位南京航空航天大学