Superpump of a one-atom maser field mode during a quantum jump

A random sequence (path) of counts of an ideal detector, selective for energy states of an atom, at the output of a one-atom maser is simulated numerically by the Monte Carlo method. Fragments of a path for the cases in which a micromaser undergoes quantum jumps with an increase (jump up) or a decrease in the average number of photons in a mode are obtained. An idealized dynamic model of a quantum jump is formulated on the basis of the concept of a critical fluctuation, when several tens of atoms in the same state are detected successively. Approximate formulas for the dependence of the average number of photons and the rate of its change on the number of atoms passing through a cavity along a jump path are obtained. The probability of a quantum jump in the idealized model is estimated. It is shown that accounting for the nonideality of a jump increases its probability by several orders of magnitude. The high rate of a quantum jump up (the superpump effect) is attributed to the possibility of redistribution of photons between subensembles of the mode states. The probability of a nonideal quantum jump and the most likely number of interruptions (opposite escapes) in an ideal jump path are estimated.