| Zugriffsnummer | 28401 |
| Dokumenttyp | Zeitschriftenartikel |
| Sprache | Englisch |
| Titel | Exact energy-time uncertainty relation for arrival time by absorption |
| Autor(in); Institution |
Kiukas, Jukka; Leibniz Universität Hannover, Institut für Theoretische Physik, Hannover, GERMANY
Ruschhaupt, Andreas; Leibniz Universität Hannover, Institut für Theoretische Physik, Hannover, GERMANY
Schmidt, Piet O.; QUEST Institute for Experimental Quantum Metrology, PTB-Braunschweig; Leibniz Universität Hannover, Institut für Quantenoptik, Hannover, GERMANY
Werner, Reinhard F.; Leibniz Universität Hannover, Institut für Theoretische Physik, Hannover, GERMANY
|
| Quelle/Jahr | Journal of Physics A: 45 (2012), 18, 13 S. |
| ISSN | 0022-3689 (PRINT) ; 1751-8121 (ONLINE) |
| DOI | |
| Verlag | Bristol: IOP Publ. |
| Klassifikationscode | PACS: 03.65.−w ; PACS: 06.30.Ft ; PACS: 03.65.Xp ; PACS: 42.50.Dv ; MSC: 33E15 ; MSC: 81P15 ; MSC: 81V80 |
| Zusammenfassung | We prove an uncertainty relation for energy and arrival time, where the arrival of a particle at a detector is modeled by an absorbing term added to the Hamiltonian. In this well-known scheme the probability for the particle’s arrival at the counter is identified with the loss of normalization for an initial wave packet. Under the sole assumption that the absorbing term vanishes on the initial wavefunction, we show that ΔT ΔE ≥ √pħ / 2 and <T> ΔE ≥ 1.37 √pħ, where ⟨T〉 denotes the mean arrival time and p is the probability for the particle to be eventually absorbed. Nearly minimal uncertainty can be achieved in a two-level system, and we propose a trapped ion experiment to realize this situation. |
