Quantum walks: The mean first detected transition time
Quancheng Liu, Ruoyu Yin, K. Ziegler, Eli Barkai · Physical Review Research · 2020
The authors study the time it takes for a quantum particle to reach a target state, using a stroboscopic measurement protocol. In certain cases, the mean time for detection can diverge, even for small systems, and the paper uncovers an Einstein-like relation that connects strong fluctuations in the system with the mean hitting time.