Abstract
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.
Original language | English |
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Article number | 042111 |
Pages (from-to) | 042111-1-042111-8 |
Number of pages | 8 |
Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
Volume | 89 |
Issue number | 4 |
DOIs | |
Publication status | Published - 21 Apr 2014 |