{ "id": "1502.07350", "version": "v2", "published": "2015-02-25T21:00:12.000Z", "updated": "2015-04-13T17:45:23.000Z", "title": "Tunable Chern insulator with shaken optical lattices", "authors": [ "Albert Verdeny", "Florian Mintert" ], "comment": "Shortened version with focus on the optimal design of a Chern insulator; different title", "categories": [ "quant-ph", "cond-mat.quant-gas" ], "abstract": "Driven optical lattices permit the engineering of effective dynamics with well-controllable tunneling properties. We describe the realization of a tunable a Chern insulator by driving particles on a shaken hexagonal lattice with optimally designed polychromatic driving forces. Its implementation does not require shallow lattices, which favors the study strongly-interacting phases with non-trivial topology.", "revisions": [ { "version": "v1", "updated": "2015-02-25T21:00:12.000Z", "title": "Fundamental limitations and design of effective Hamiltonians in driven lattices", "abstract": "Driven lattices permit the engineering of effective Hamiltonians with well-controllable tunneling properties. We discuss the design of such effective Hamiltonians and identify fundamental constraints imposed by the underlying lattice geometry. With the specific example of a hexagonal lattice we show how suitably chosen driving forces allow the realization of non-trivial topological phases and overcome limitations of monochromatic driving.", "comment": null, "journal": null, "doi": null }, { "version": "v2", "updated": "2015-04-13T17:45:23.000Z" } ], "analyses": { "keywords": [ "effective hamiltonians", "fundamental limitations", "driven lattices permit", "overcome limitations", "lattice geometry" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150207350V" } } }