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The relation between Einstein equivalence principle and a continuous quantummeasurement is analyzed in the context of the recently proposedflavor-oscillation clocks, an idea pioneered by Ahluwalia and Burgard (Gen. RelGrav. Errata 29, 681 (1997)). We will calculate the measurement outputs if aflavor-oscillation clock, which is immersed in a gravitational field, issubject to a continuous quantum measurement. Afterwards, resorting to the weakequivalence principle, we obtain the corresponding quantities in a freelyfalling reference frame. Finally, comparing this last result with themeasurement outputs that would appear in a Minkowskian spacetime it will befound that they do not coincide, in other words, we have a violation ofEinstein equivalence principle. This violation appears in two different forms,namely: (i) the oscillation frequency in a freely falling reference frame doesnot match with the case predicted by general relativity, a feature previouslyobtained by Ahluwalia; (ii) the probability distribution of the measurementoutputs, obtained by an observer in a freely falling reference frame, does notcoincide with the results that would appear in the case of a Minkowskianspacetime.Comment: 16 pages, accepted in Mod. Phys. Letts.

FLAVOR-OSCILLATION CLOCKS, CONTINUOUS QUANTUM MEASUREMENTS AND A VIOLATION OF EINSTEIN EQUIVALENCE PRINCIPLE