https://arxiv.org/abs/2308.08588

Entanglement and Topology in Su-Schrieffer-Heeger Cavity Quantum ElectrodynamicsCavity materials are a frontier to investigate the role of light-matterinteractions on the properties of electronic phases of matter. In this work, weraise a fundamental question: can non-local interactions mediated by cavityphotons destabilize a topological electronic phase? We investigate thisquestion by characterizing entanglement, energy spectrum and correlationfunctions of the topological Su-Schrieffer-Heeger (SSH) chain interacting withan optical cavity mode. Employing density-matrix renormalization group (DMRG)and exact diagonalization (ED), we demonstrate the stability of the edge stateand establish an area law scaling for the ground state entanglement entropy,despite long-range correlations induced by light-matter interactions. Thesefeatures are linked to gauge invariance and the scaling of virtual photonexcitations entangled with matter, effectively computed in a low-dimensionalKrylov subspace of the full Hilbert space. This work provides a framework forcharacterizing novel equilibrium phenomena in topological cavity materials.arxiv.org




Luiz Santos

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