Research Article

Rough Mirror as a Quantum State Selector: Analysis and Design

Table 5

Five Monte Carlo runs for the 1D Ising model. The “true” correlation function is exponential with and and yields . The correlation functions extracted from the generated rough surfaces were fitted with the exponential, Gaussian, and power law functions. The Table contains the best fitting values of and the corresponding values of and . Since the simulation is based on the Ising model with spins , the best fitting values of differed from by less than 1% for all fitting functions. The values of were obtained by direct spectral decomposition of the raw correlation data. The size of the sample was and we performed Metropolis cycles.

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1 1.27, 6.69 0.85, 6.93 1.26, 6.72 3.79 18.6, 27.4, 19.6, 25.8
2 1.23, 6.83 0.88, 6.94 1.25, 6.84 1.49 19.1, 26.8, 19.7, 26.2
3 1.04, 6.51 0.73, 6.74 1.07, 6.54 2.82 20.7, 30.2, 21.4, 27.3
4 1.18, 6.65 0.87, 6.71 1.23, 6.62 3.01 19.7, 27.1, 20.0, 26.1
5 0.94, 6.44 0.74, 6.42 1.03, 6.38 1.91 22.2, 29.8, 21.9, 27.7