QUANTUM NONDEMOLITION MEASUREMENTS FROM PATH INTEGRAL

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Abstract
The path integration method is applied to continuous quantum nondemolition (QND) measurements. Direct and indirect QND measurements are considered. It is shown that an observable is QND variable then and only then if the equation of motion for this observable due to a special “effective Hamiltonian” coincides with the classical equation of motion for this observable. The method is developed for finding a class of QND variables in the case of quadratic Hamiltonian.

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