This readme is for the data submitted in conjunction with the paper:
Title: "Cooperative ordering in lattices of interacting two-level dipoles"
Authors: Robert J. Bettles, Simon A. Gardiner, and Charles S. Adams

The data was produced using Matlab and the figures produced in Inkscape. The data in the files described below is the raw data used in the paper figures. 




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Explanations of structure for data files
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Files included in /Fig1/:
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(1) c2_l_ad.csv
(2) c2_l_be.csv
(3) c2_l_cf.csv
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The normalised direct terms in the sum of equation (3) in the paper, |c|^2/N, where N is the number of atoms. These are plotted in Fig. 1 as scatter points with size proportional to |c|^2/N. Files 1, 2 and 3 correspond to subfigures (a), (b) and (c) respectively. The element in the l_th column and k_th row corresponds to the l_th mode at the k_th spacing (see file 11).

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(4) Delta.csv
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The detunings, Delta, in (a,b,c), normalised by the HWHM gamma_0.

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(5) Delta_l_a.csv	
(6) Delta_l_b.csv
(7) Delta_l_c.csv
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The shifted linecentres, Delta_l, for each mode l. The l_th column and k_th row is the shift, normalised by the HWHM gamma_0, for mode l at the k_th spacing (see file 11). (2), (3) and (4) correspond to subfigures (a), (b) and (c) respectively,

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(8) gamma_l_d.csv
(9) gamma_l_e.csv
(10) gamma_l_f.csv
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The cooperative line halfwidths, gamma_l, for each mode l. The l_th column and k_th row is the width, normalised by the HWHM gamma_0, for mode l at the k_th spacing (see file 11). (2), (3) and (4) correspond to subfigures (a), (b) and (c) respectively,

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(11) LatticeSpacing.csv
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The lattice spacings, a, normalised by the transition wavelength, lambda_0.

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(12) P_N_a.csv
(13) P_N_b.csv
(14) P_N_c.csv
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The normalised scattered power, P/N, plotted in subfigures (a), (b) and (c) as the colormaps (files 9, 10 and 11 respectively). The element in the lth column and kth row corresponds to the lth spacing (see file 11) and the kth detuning (see file 4).




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Files included in /Fig2/:
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(1) Delta.csv
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The detunings, Delta, in subfigures (a) and (b), normalised by the HWHM gamma_0.

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(2) ExtCS_a.csv
(3) ExtCS_b.csv
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Normalised total extinction cross section, sigma/N, as a function of detuning (see file 1). Files 2 and 3 correspond to subfigures (a) and (b) respectively.

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(4) ExtCS_l_a.csv
(5) ExtCS_l_b.csv
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Normalised extinction cross section due to each mode. This corresponds to the direct terms in the sum in equation (4) of the paper, Imag(mu_l^*)|c_l|^2/N. Files 4 and 5 correspond to subfigures (a) and (b) respectively.




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Files included in /Fig3/:
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(1) Delta.csv
(2) Delta_inset.csv
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The detunings, Delta, in the subfigure (a), file 1, and the inset of (a), file 2, normalised by the HWHM gamma_0.

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(3) ExtCS_a.csv
(4) ExtCS_inset.csv
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Normalised total extinction cross section, sigma/N, as a function of detuning (see files 1 and 2 respectively). Files 3 and 4 correspond to subfigure (a) and its inset respectively.

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(5) ExtCS_l_a.csv
(6) ExtCS_l_inset.csv
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Normalised extinction cross section due to each mode. This corresponds to the direct terms in the sum in equation (4) of the paper, Imag(mu_l^*)|c_l|^2/N. Files 5 and 6 correspond to subfigure (a) and its inset respectively.

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(7) modeVecs_b.csv
(8) modeVecs_c.csv
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The real vector components for the eigenmodes plotted in subfigures (a), file 7, and (b), file 8. The 1st column are the x components and the 2nd column are the y components. The Nth row corresponds to the Nth dipole at the Nth position in file (9).




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Files included in /Fig4/:
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(1) Delta.csv
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The detunings, Delta, in the plots (a) and (b).

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(2) CrossSection_a.csv
(3) CrossSection_b.csv
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Extinction cross-section in subfigures (a) and (b) respectively. The columns are different realizations of the atomic positions and defects locations. The rows are the different detunings. 






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For queries, contact Robert Bettles at rjbettles89@gmail.com

