Localization of relativistic particles and their position-momentum uncertainty relations are not yet fully understood. We discuss two schemes of photon localization that are based on the energy density. One scheme produces a positive operator-valued measure for localization. It coincides with the number density operator and reproduces an effective 3×3 polarization density matrix. Another scheme results in a probability distribution that is conditioned on the detection. In both schemes the uncertainty relations for transversal position and momentum approach the Heisenberg bound ΔpΔz=12.
|Number of pages||8|
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|Publication status||Published - 21 Apr 2014|