Abstract
A beam splitter is assumed to separate an incident beam of light with indeterminate phase into a reflected and a transmitted beam. In analogy with classical physics, a homodyne approach similar to that suggested by Noh, Fougeres, and Mandel [Phys. Rev. Lett. 67, 1426 (1991)] is used to measure the phase of each beam at two distant locations. The nonlocal collapse of the wave function due to such a phase measurement made on one of the two beams is shown to reduce the state of the remaining beam to a coherent state (to a good approximation) with the corresponding phase. However, these homodyne phase measurements also exhibit several nonclassical features, including an oscillatory fine structure, which complicate their interpretation as the phase of the field.
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