Half-Chain Entanglement Entropy in the One-Dimensional Spinless Fermion Model

Abstract

We calculate the half-chain entanglement entropy of the ground state in the one-dimensional spinless fermion model. Considering a tiny corner of the Hilbert space represented by matrix product states, we efficiently find the ground state by the infinite time-evolving block decimation. The Schmidt coefficients are used to determine the half-chain entanglement entropy. Using the bond dimension scaling of the half-chain entanglement entropy, we find the critical region, which is consistent with the previous results.

12 pages, 4 figures

References in corpus (4)

• The density-matrix renormalization group in the age of matrix product states
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Scaling of entanglement support for Matrix Product States
• Simulating Strongly Correlated Quantum Systems with Tree Tensor Networks