Physics – Quantum Physics
Scientific paper
2004-11-09
Physical Review A, 69, 032107 (2004)
Physics
Quantum Physics
15 pages, no figures
Scientific paper
10.1103/PhysRevA.69.032107
We derive the stochastic Schrodinger equation for the limit of continuous weak measurement where the observables monitored are canonical position and momentum. To this end we extend an argument due to Smolianov and Truman from the von Neumann model of indirect measurement of position to the Arthurs and Kelly model for simultaneous measurement of position and momentum. We only require unbiasedness of the detector states and an integrability condition sufficient to ensure a central limit effect. Despite taking a weak interaction, as opposed to weak measurement limit, the resulting stochastic wave equation is of the same form as that derived in a recent paper by Scott and Milburn for the specific case of joint Gaussian states.
Gough John
Sobolev Andrei
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