Hi all,
today Shishir will present the results of his master's thesis. See below
for title and abstract.
Best,
-joe
Title: General relativistic time dilation and quantum clocks
Abstract:
The general theory of relativity associates a proper time with each object
via its spacetime trajectory. In quantum theory on the other hand, such
trajectories are forbidden. Here we demonstrate that, in the weak-field and
low-velocity limit, all “good” quantum clocks experience the time dilation
dictated by general relativity for the most classical states of motion. For
nonclassical states of motion, on the other hand, we find that quantum
interference effects give rise to a significant discrepancy between the
proper time and the time measured by the clock. Moreover, we show how our
ignorance of the clock’s state of motion leads to a larger uncertainty in
time measurements with the clock, a consequence of entanglement between the
clock time and its center-of-mass degrees of freedom.