Entanglement and Topology in Su-Schrieffer-Heeger Cavity Quantum Electrodynamics

• URL: http://arxiv.org/abs/2308.08588v1
• Date: Wed, 16 Aug 2023 18:00:00 GMT
• Title: Entanglement and Topology in Su-Schrieffer-Heeger Cavity Quantum Electrodynamics
• Authors: Daniel Shaffer, Martin Claassen, Ajit Srivastava, Luiz H. Santos
• Abstract summary: We characterize entanglement, energy spectrum and correlation functions of the topological Su-Schrieffer-Heeger chain interacting with an optical cavity mode. We establish an area law scaling for the ground state entanglement entropy, despite long-range correlations induced by light-matter interactions. This work provides a framework for characterizing novel equilibrium phenomena in topological cavity materials.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Cavity materials are a frontier to investigate the role of light-matter interactions on the properties of electronic phases of matter. In this work, we raise a fundamental question: can non-local interactions mediated by cavity photons destabilize a topological electronic phase? We investigate this question by characterizing entanglement, energy spectrum and correlation functions of the topological Su-Schrieffer-Heeger (SSH) chain interacting with an optical cavity mode. Employing density-matrix renormalization group (DMRG) and exact diagonalization (ED), we demonstrate the stability of the edge state and establish an area law scaling for the ground state entanglement entropy, despite long-range correlations induced by light-matter interactions. These features are linked to gauge invariance and the scaling of virtual photon excitations entangled with matter, effectively computed in a low-dimensional Krylov subspace of the full Hilbert space. This work provides a framework for characterizing novel equilibrium phenomena in topological cavity materials.

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