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Our assumption is that the which-path device is operated in a steady-state mode, whereby measurements are only made after any transitory behavior has decayed so that the probability distribution of (initial) cantilever states is stationary. This steady-state distribution is further assumed to be the usual thermal distribution. These assumptions will only be strictly correct in the limit as the current goes to zero, but can be expected to provide predictions which are at least qualitatively correct for the average behavior over long times even with finite currents
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