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Condensed Matter > Statistical Mechanics
Title: Quantum critical point of the Ising chain from boundary effects
(Submitted on 1 Oct 2018)
Abstract: We propose two easy-to-study observables in the quantum Ising chain with open boundary conditions. They measure the length at which boundaries affect the longitudinal or transverse magnetization. We show that their finite-size scaling behaviour encodes the position of the quantum critical point and the universal scaling exponent $\nu$. The applicability of proposed observables in small systems is also discussed. We expect that our results will be useful in quantum simulation of spin systems.
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