arXiv subjects

M. Mensky

Publications and source records attributed to M. Mensky.

2 recordsLinked to original sources

arXiv1999

Approximate real time visualization of a Rabi transition by means of continuous fuzzy measurement

Continuous weak or fuzzy measurement of the Rabi oscillation of a two level atom subjected to a $π-$pulse of a resonant light field is simulated numerically. We thereby address the question whether it is possible to measure characteristic features of the motion of the state of a single quantum system in real time. We compare two schemes of continuous measurement: continuous measurement with constant fuzziness and with fuzziness changing in the course of the measurement. Because the sensitivity of the Rabi atom to the influence of the measurement depends on the state of the atom, it is possible to optimize the continuous fuzzy measurement by varying its fuzziness.

quant-ph↗

arXiv1997

How to visualize a quantum transition of a single atom

The previously proposed visualization of Rabi oscillations of a single atom by a continuous fuzzy measurement of energy is specified for the case of a single transition between levels caused by a $π$-pulse of a driving field. An analysis in the framework of the restricted-path-integral approach (which reduces effectively to a Schrödinger equation with a complex Hamiltonian) shows that the measurement gives a reliable information about the system evolution, but the probability of the transition becomes less than unity. In addition an experimental setup is proposed for continuous monitoring the state of an atom by observation of electrons scattered by it. It is shown how this setup realizes a continuous fuzzy measurement of the atom energy.

quant-ph↗