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Symmetry-resolved entanglement in a long-range free-fermion chain

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arxiv 2202.05874 v2 pith:IDYEDCOX submitted 2022-02-11 cond-mat.stat-mech hep-thquant-ph

Symmetry-resolved entanglement in a long-range free-fermion chain

Filiberto Ares , Sara Murciano , Pasquale Calabrese This is my paper
classification cond-mat.stat-mech hep-thquant-ph
keywords entanglementlong-rangesymmetry-resolvedchainchargedentropymomentsorder
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the symmetry resolution of entanglement in the presence of long-range couplings. To this end, we study the symmetry-resolved entanglement entropy in the ground state of a fermionic chain that has dimerised long-range hoppings with power-like decaying amplitude -- a long-range generalisation of the Su-Schrieffer-Heeger model. This is a system that preserves the number of particles. The entropy of each symmetry sector is calculated via the charged moments of the reduced density matrix. We exploit some recent results on block Toeplitz determinants generated by a discontinuous symbol to obtain analytically the asymptotic behaviour of the charged moments and of the symmetry-resolved entropies for a large subsystem. At leading order we find entanglement equipartition, but comparing with the short-range counterpart its breaking occurs at a different order and it does depend on the hopping amplitudes.

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Cited by 2 Pith papers

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    An improved heat kernel framework with phase-factor reconstruction computes symmetry-resolved entanglement entropy for charged systems and derives a cMERA flow equation that agrees with CFT and holographic calculations.

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    Numerical MPS study of the Moore-Read state finds approximate equipartition of symmetry-resolved entanglement entropy and good agreement with the Li-Haldane conjecture for the entanglement spectrum despite distinct ne...