{
  "id": "1606.06359",
  "version": "v1",
  "published": "2016-06-20T23:27:38.000Z",
  "updated": "2016-06-20T23:27:38.000Z",
  "title": "Boundary-induced dynamics in 1D topological systems and memory effects of edge modes",
  "authors": [
    "Yan He",
    "Chih-Chun Chien"
  ],
  "comment": "10 pages, 8 figures, submitted",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.quant-gas",
    "quant-ph"
  ],
  "abstract": "Dynamics induced by a change of boundary conditions reveals rate-dependent signatures associated with topological properties in one-dimensional Kitaev chain and SSH model. While the perturbation from a change of the boundary propagates into the bulk, the density of topological edge modes in the case of transforming to open boundary condition reaches steady states. The steady-state density depends on the transformation rate of the boundary and serves as an illustration of quantum memory effects in topological systems. Moreover, while a link is physically broken as the boundary condition changes, some correlation functions can remain finite across the broken link and keep a record of the initial condition. By testing those phenomena in the non-topological regimes of the two models, none of the interesting signatures of memory effects can be observed. Our results thus contrast the importance of topological properties in boundary-induced dynamics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-20T23:27:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "memory effects",
      "1d topological systems",
      "edge modes",
      "boundary-induced dynamics",
      "boundary condition reaches steady states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}