Large fluctuations of the first detected quantum return time
R. Yin, K. Ziegler, F. Thiel, E. Barkai · Physical Review Research · 2019
The first detected return of a quantum particle to its initial state under stroboscopic projective measurements may yield gigantic fluctuations, rendering the quantum search non-practical. The authors quantify these fluctuations which are found near the jumps of a topological number in this problem. In Zeno regime, a topology-dependent time-energy uncertainty principle is derived.