{ "id": "1001.0962", "version": "v1", "published": "2010-01-06T20:41:43.000Z", "updated": "2010-01-06T20:41:43.000Z", "title": "Spectral singularities and Bragg scattering in complex crystals", "authors": [ "S. Longhi" ], "comment": "6 pages, 5 figures, to be published in Phys. Rev. A", "journal": "Phys. Rev. A 81, 022102 (2010)", "categories": [ "quant-ph" ], "abstract": "Spectral singularities that spoil the completeness of Bloch-Floquet states may occur in non-Hermitian Hamiltonians with complex periodic potentials. Here an equivalence is established between spectral singularities in complex crystals and secularities that arise in Bragg diffraction patterns. Signatures of spectral singularities in a scattering process with wave packets are elucidated for a PT-symmetric complex crystal.", "revisions": [ { "version": "v1", "updated": "2010-01-06T20:41:43.000Z" } ], "analyses": { "subjects": [ "11.30.Er", "03.65.-w", "42.50.Xa" ], "keywords": [ "spectral singularities", "bragg scattering", "pt-symmetric complex crystal", "bragg diffraction patterns", "complex periodic potentials" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "doi": "10.1103/PhysRevA.81.022102", "year": 2010, "month": "Feb", "volume": 81, "number": 2, "pages": "022102" }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010PhRvA..81b2102L" } } }