{ "id": "1302.1985", "version": "v1", "published": "2013-02-08T10:32:25.000Z", "updated": "2013-02-08T10:32:25.000Z", "title": "Comparison of quantum and classical relaxation in spin dynamics", "authors": [ "R. Wieser" ], "categories": [ "cond-mat.mes-hall", "quant-ph" ], "abstract": "The classical Landau-Lifshitz equation with damping term has been derived from the time evolution of a quantum mechanical wave function under the assumption of a non-hermitian Hamilton operator. Further, the trajectory of a classical spin $\\mathrm{S}$ has been compared with the expectation value of the spin operator $\\mathrm{\\hat{S}}$. A good agreement between classical and quantum mechanical trajectories can be found for Hamiltonians linear in $\\mathrm{\\hat{S}}$ respectively $\\mathrm{S}$. Quadratic or higher order terms in the Hamiltonian result in a disagreement.", "revisions": [ { "version": "v1", "updated": "2013-02-08T10:32:25.000Z" } ], "analyses": { "subjects": [ "75.78.-n", "75.10.Jm", "75.10.Hk" ], "keywords": [ "spin dynamics", "classical relaxation", "comparison", "quantum mechanical wave function", "non-hermitian hamilton operator" ], "tags": [ "journal article" ], "publication": { "doi": "10.1103/PhysRevLett.110.147201", "journal": "Physical Review Letters", "year": 2013, "month": "Apr", "volume": 110, "number": 14, "pages": 147201 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvL.110n7201W" } } }