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We study the dynamics of a charge qubit, consisting of a single electron in adouble well potential coupled to a point-contact (PC) electrometer, using thequantum trajectories formalism. Contrary to previous predictions, we showformally that, in the sub-Zeno limit, coherent oscillations in the detectoroutput are suppressed, and the dynamics is dominated by inelastic processes inthe PC. Furthermore, these reduce the detector efficiency and induce relaxationeven when the source-drain bias is zero. This is of practical significancesince it means the detector will act as a source of decoherence. Finally, weshow that the sub-Zeno dynamics is divided into two regimes: low- and high-biasin which the PC current power spectra show markedly different behaviour.Comment: 4 pages, 3 figures, comments are welcom

Continuous Quantum Measurement: Inelastic Tunneling and Lack of Current Oscillations