Beyond Zeno: Approaching Infinite Temperature upon Repeated Measurements
Quantum Physics
2012-02-16 v2 Statistical Mechanics
Abstract
The influence of repeated projective measurements on the dynamics of the state of a quantum system is studied in dependence of the time lag between successive measurements. In the limit of infinitely many measurements of the occupancy of a single state the total system approaches a uniform state. The asymptotic approach to this state is exponential in the case of finite Hilbert space dimension. The rate characterizing this approach undergoes a sharp transition from a monotonically increasing to an erratically varying function of the time between subsequent measurements.
Cite
@article{arxiv.1107.5413,
title = {Beyond Zeno: Approaching Infinite Temperature upon Repeated Measurements},
author = {Juyeon Yi and Peter Talkner and Gert-Ludwig Ingold},
journal= {arXiv preprint arXiv:1107.5413},
year = {2012}
}