Regensburg 2013 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 7: Poster I
DY 7.1: Poster
Monday, March 11, 2013, 17:30–19:30, Poster C
Zeno effect for repeated projective and finite-time measurements — •Andreas Prinz-Zwick1, Gert-Ludwig Ingold1, Peter Talkner1, and Juyeon Yi2 — 1Institut für Physik, Univ. Augsburg, Germany — 2Dept. of Physics, Pusan National University, Korea
The decay of an unstable state can be slowed down by frequently repeated measurements and even be stopped completely under continuous observation. This so-called quantum Zeno effect has been studied for a single particle on a one-dimensional chain subject to repeated projective measurements on the first lattice site [1]. In contrast to previous work, we keep track of all possible measurement outcomes. While the Zeno effect is obtained for short times, asymptotically the system approaches a uniform state. As an extension, we have considered non-projective measurements where the system is coupled to a measurement apparatus as introduced in [2]. The Zeno effect is studied as a function of the duration of the measurement τm and the time between measurements τa. An optimal measurement is achieved by appropriately choosing the coupling strength as a function of τm. It is found that for not too large duration of the measurement, the Zeno effect becomes more pronounced when τm is increased [3].
[1] J. Yi, P. Talkner, G.-L. Ingold, Phys. Rev. A 84, 032121 (2011)
[2] W. Zurek, Ann. Phys. (N.Y.) 9, 855 (2000)
[3] A. Prinz-Zwick, Master thesis (Universität Augsburg, 2012)