Introduction to the quantum first detection problem
We consider quantum dynamics on a graph, with repeated strong measurements performed locally at a fixed time interval τ. For example a particle starting on node x and measurements performed on another node x'. From the basic postulates of quantum mechanics the string of measurements yields a sequence no,no,no, ... and finally in the n-th attempt a yes, i.e. the particle is detected. Statistics of the first detection time nτ are investigated, and compared with the corresponding classical first passage problem. Dark states, Zeno physics, a quantum renewal equation, winding number for the first return problem (work of A. Grunbaum et al.), total detection probability, detection time operators and time wave functions are discussed.
 H. Friedman, D. Kessler, and E. Barkai, Quantum walks: the first detected passage time problem, Phys. Rev. E. 95, 032141 (2017). Editor's suggestion.
 F. Thiel, E. Barkai, and D. A. Kessler, First detected arrival of a quantum walker on an infinite line, Phys. Rev. Lett. 120, 040502 (2018).
תאריך עדכון אחרון : 26/02/2019