{ "id": "1607.03656", "version": "v1", "published": "2016-07-13T09:37:52.000Z", "updated": "2016-07-13T09:37:52.000Z", "title": "Digital quantum simulation of $\\mathbb{Z}_2$ lattice gauge theories with dynamical fermionic matter", "authors": [ "Erez Zohar", "Alessandro Farace", "Benni Reznik", "J. Ignacio Cirac" ], "categories": [ "quant-ph", "cond-mat.quant-gas", "hep-lat", "hep-th" ], "abstract": "We propose a scheme for digital quantum simulation of lattice gauge theories with dynamical fermions. Using a layered optical lattice with ancilla atoms that can move and interact with the other atoms (simulating the physical degrees of freedom), we obtain a stroboscopic dynamics which yields the four-body plaquette interactions, arising in models with $2+1$ and higher dimensions, without the use of perturbation theory. As an example we show how to simulate a $\\mathbb{Z}_2$ model in $2+1$ dimensions.", "revisions": [ { "version": "v1", "updated": "2016-07-13T09:37:52.000Z" } ], "analyses": { "keywords": [ "lattice gauge theories", "digital quantum simulation", "dynamical fermionic matter", "four-body plaquette interactions", "higher dimensions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }