Uncertainty relations in quantum optics. Is the photon intelligent?

Autor: Przanowski, Maciej, García-Compeán, Hugo, Tosiek, Jaromir, Turrubiates, Francisco J.
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1016/j.aop.2016.06.022
Popis: The Robertson -- Schr\"{o}dinger, Heisenberg -- Robertson and Trifonov uncertainty relations for arbitrary two functions $f_{1}$ and $f_{2}$ depending on the quantum phase and the number of photons respectively, are given. Intelligent states and states which minimize locally the product of uncertainties $(\Delta f_{1})^{2}\cdot (\Delta f_{2})^{2}$ or the sum $(\Delta f_{1})^{2}+(\Delta f_{2})^{2}$ are investigated for the cases $f_{1}=\phi,\exp{(i\phi)}, \exp{(-i\phi)}, \cos{\phi}, \sin{\phi}$ and $f_{2}=n$.
Comment: 32 pages
Databáze: arXiv