{ "id": "1711.01495", "version": "v1", "published": "2017-11-04T21:22:49.000Z", "updated": "2017-11-04T21:22:49.000Z", "title": "Indistinguishability of quantum states and rotation counting", "authors": [ "Dmitri V. Averin", "Christoph Bruder" ], "comment": "5 pages, 3 embedded figures", "categories": [ "cond-mat.mes-hall", "cond-mat.quant-gas", "quant-ph" ], "abstract": "We propose a quantum system in which the winding number of rotations of a particle around a ring can be monitored and emerges as a physical observable. We explicitly analyze the situation when, as a result of the monitoring of the winding number, the period of the orbital motion of the particle is extended to $n>1$ full rotations, which leads to changes in the energy spectrum and in all observable properties. In particular, we show that in this case, the usual magnetic flux period $\\Phi_0=h/q$ of the Aharonov-Bohm effect is reduced to $\\Phi_0/n$.", "revisions": [ { "version": "v1", "updated": "2017-11-04T21:22:49.000Z" } ], "analyses": { "keywords": [ "quantum states", "rotation counting", "indistinguishability", "usual magnetic flux period", "winding number" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }