Zhihe Zhang, Dongkai Zhang, Xiaodong Qiu, Yuanyuan Chen, Sonja Franke-Arnold, Lixiang Chen. Experimental investigation of the uncertainty principle for radial degrees of freedom[J]. Photonics Research, 2022, 10(9): 2223
- Photonics Research
- Vol. 10, Issue 9, 2223 (2022)
Fig. 1. (a) Experimental setup. The intelligent states with various uncertainties in logarithmic radial position such as (b1) λ = 200.00 Δ ln r = 0.05 λ = 50.00 Δ ln r = 0.1 λ = 22.22 Δ ln r = 0.15 λ = 12.50 Δ ln r = 0.2 λ = 12.50 P H = 10 P H = 15 P H = 20 P H = 25
Fig. 2. Experimental observation of hyperbolic momentum spectrum for (a) λ = 61.73 Δ ln r = 0.09 λ = 29.59 Δ ln r = 0.13 λ = 17.30 Δ ln r = 0.17
Fig. 3. Experimental measurement of the product of the uncertainties in logarithmic radial position and hyperbolic momentum for intelligent states. The red line represents the theoretical bound of ℏ / 2
Fig. 4. Experimental measurement of the product of the uncertainties in logarithmic radial position and hyperbolic momentum for rigid slits. The red line represents the lower bound of ℏ / 2 4 ).
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