# Regensburg 2013 – wissenschaftliches Programm

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# DY: Fachverband Dynamik und Statistische Physik

## DY 7: Poster I

### DY 7.1: Poster

### Montag, 11. März 2013, 17:30–19:30, Poster C

**Zeno effect for repeated projective and finite-time measurements** — •Andreas Prinz-Zwick^{1}, Gert-Ludwig Ingold^{1}, Peter Talkner^{1}, and Juyeon Yi^{2} — ^{1}Institut für Physik, Univ. Augsburg, Germany — ^{2}Dept. 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 τ_{m} and the time between
measurements τ_{a}. An optimal measurement is achieved by appropriately
choosing the coupling strength as a function of τ_{m}. It is found that for
not too large duration of the measurement, the Zeno effect becomes more
pronounced when τ_{m} 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)