{ "id": "1905.10749", "version": "v1", "published": "2019-05-26T07:13:45.000Z", "updated": "2019-05-26T07:13:45.000Z", "title": "Dynamics of Charge-Resolved Entanglement after a Local Quench", "authors": [ "Noa Feldman", "Moshe Goldstein" ], "categories": [ "cond-mat.stat-mech", "cond-mat.str-el", "hep-th", "quant-ph" ], "abstract": "Quantum entanglement and its main quantitative measures, the entanglement entropy and entanglement negativity, play a central role in many body physics. An interesting twist arises when the system considered has symmetries leading to conserved quantities: Recent studies introduced a way to define, represent in field theory, calculate for 1+1D conformal systems, and measure, the contribution of individual charge sectors to the entanglement measures between different parts of a system in its ground state. In this paper, we apply these ideas to the time evolution of the charge-resolved contributions to the entanglement entropy and negativity after a local quantum quench. We employ conformal field theory techniques, the time-dependent density matrix renormalization group algorithm, and exact solution in the noninteracting limit, finding good agreement between all these methods.", "revisions": [ { "version": "v1", "updated": "2019-05-26T07:13:45.000Z" } ], "analyses": { "keywords": [ "local quench", "charge-resolved entanglement", "time-dependent density matrix renormalization group", "density matrix renormalization group algorithm", "employ conformal field theory techniques" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }