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24 April 2024

» arxiv » 1511.4215

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Uncertainty relations in quantum optics. Is the photon intelligent?
Maciej Przanowski ; Hugo García-Compeán ; Jaromir Tosiek ; Francisco J. Turrubiates ;
Date:	13 Nov 2015
Abstract:	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 $f_{1}=phi,exp{(iphi)}, exp{(-iphi)}, cos{phi}, sin{phi}$ and $f_{2}=n$.
Source:	arXiv, 1511.4215
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