Fig. 3: Examples of reconstructed density matrices in Fock basis.
From: Experimental preparation of multiphoton-added coherent states of light
Density matrices of the initial coherent states are plotted in the first column. Density matrices of the experimentally generated n-photon-added coherent states are displayed in the second column. Finally, the last column shows the density matrices of the n-photon-added coherent states coherently displaced by \(\hat{D}(-\alpha )\), which in theory should result in a finite superposition of Fock states up to \(\left\vert n\right\rangle\). The results are shown for single-photon-added coherent state with α = 1.43 (a–c), two-photon-added coherent state with α = 0.71 (d–f), and three-photon-added coherent state with α = 0.94 (g–i). Real parts of the reconstructed density matrices are plotted. The imaginary parts of the matrix elements ρjk are mostly negligible and in all cases smaller than 0.075. The insets contain plots of photon number distributions of the reconstructed states.
