READ ME File For 'Data for Synthetic band-structure engineering in polariton crystals with non-Hermitian topological phases' Dataset DOI: 10.5258/SOTON/D1194 Licence: CC BY ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Lucinda Pickup & Helgi Sigurdsson - Hybrid Photonics Group University of Southampton Building 46 Physics and Astronomy University Rd Southampton SO17 1BJ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Publication Title: Synthetic band-structure engineering in polariton crystals with non-Hermitian topological phases Journal: Nature Communications ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Main text Figure 1 Fig1b.txt: Content: Data shown in Figure 1(b). Description: Real-space photoluminescence from a chain of eight polariton condensates with a uniform separation distance of ~13um between pump centres. Scaling: 0.1725um per px Fig1c.txt: Content: Data shown in Figure 1(c). Description: Momentum-space photoluminescence from a chain of eight polariton condensates with a uniform separation distance of ~13um between pump centres. Scaling: 0.007722um^(-1) per px Fig1d.txt: Content: Data shown in Figure 1(d). Description: Energy resolved momentum-space (k_x=0) photoluminescence from a chain of eight polariton condensates with a uniform separation distance of ~13um between pump centres. Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'Fig1_EnergyScaling.txt' Fig1e.txt: Content: Data shown in Figure 1(e). Description: Real-space photoluminescence from a chain of eight polariton condensates with a uniform separation distance of ~8.6um between pump centres. Scaling: 0.1725um per px Fig1f.txt: Content: Data shown in Figure 1(f). Description: Momentum-space photoluminescence from a chain of eight polariton condensates with a uniform separation distance of ~8.6um between pump centres. Scaling: 0.007722um^(-1) per px Fig1g.txt: Content: Data shown in Figure 1(g). Description: Energy resolved momentum-space (k_x=0) photoluminescence from a chain of eight polariton condensates with a uniform separation distance of ~8.6um between pump centres. Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'Fig1_EnergyScaling.txt' Fig1_EnergyScaling.txt: Content: Energy scaling for the energy resolved momentum-space images in Fig. 1. ~~~~~~~~~ Figure 2 Fig2a.txt: Content: Data shown in Figure 2(a) Description: Energy resolved momentum-space (k_x=0) photoluminescence from a chain of eight polariton condensates with staggered pump separation distances a_l = 10.4um and a_s = 10.4um. Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'Fig2_N8_EnergyScaling.txt' Fig2b.txt: Content: Data shown in Figure 2(b) Description: Energy resolved momentum-space (k_x=0) photoluminescence from a chain of eight polariton condensates with staggered pump separation distances a_l = 10.4um and a_s = 9.0um. Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'Fig2_N8_EnergyScaling.txt' Fig2c.txt: Content: Data shown in Figure 2(c) Description: Energy resolved momentum-space (k_x=0) photoluminescence from a chain of eight polariton condensates with staggered pump separation distances a_l = 10.4um and a_s = 8.9um. Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'Fig2_N8_EnergyScaling.txt' Fig2d.txt: Content: Data shown in Figure 2(d) Description: Energy resolved momentum-space (k_x=0) photoluminescence from a chain of eight polariton condensates with staggered pump separation distances a_l = 10.4um and a_s = 8.7um. Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'Fig2_N8_EnergyScaling.txt' Fig2e.txt: Content: Data shown in Figure 2(e) Description: Energy resolved momentum-space (k_x=0) photoluminescence from a chain of eight polariton condensates with staggered pump separation distances a_l = 10.4um and a_s = 8.5um. Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'Fig2_N8_EnergyScaling.txt' Fig2f.txt: Content: Data shown in Figure 2(f) Description: Energy resolved momentum-space (k_x=0) photoluminescence from a chain of twelve polariton condensates with staggered pump separation distances a_l = 10.2um and a_s = 9.2um. Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'Fig2_N12_EnergyScaling.txt' Fig2g.txt: Content: Data shown in Figure 2(g) Description: Real space photoluminescence from a chain of eight polariton condensates with staggered pump separation distances a_l = 10.4um and a_s = 10.4um. Scaling: 0.06917um per pixel Fig2h.txt: Content: Data shown in Figure 2(h) Description: Real space photoluminescence from a chain of eight polariton condensates with staggered pump separation distances a_l = 10.4um and a_s = 9.0um. Scaling: 0.06917um per pixel Fig2i.txt: Content: Data shown in Figure 2(i) Description: Real space photoluminescence from a chain of eight polariton condensates with staggered separation distances a_l = 10.4um and a_s = 8.9um. Scaling: 0.06917um per pixel Fig2j.txt: Content: Data shown in Figure 2(j) Description: Real space photoluminescence from a chain of eight polariton condensates with staggered separation distances a_l = 10.4um and a_s = 8.7um. Scaling: 0.06917um per pixel Fig2k.txt: Content: Data shown in Figure 2(k) Description: Real space photoluminescence from a chain of eight polariton condensates with staggered separation distances a_l = 10.4um and a_s = 8.5um. Scaling: 0.06917um per pixel Fig2l.txt: Content: Data shown in Figure 2(l) Description: Real space photoluminescence from a chain of twelve polariton condensates with staggered pump separation distances a_l = 10.2um and a_s = 9.2um. Scaling: 0.06917um per pixel Fig2_N8_EnergyScaling.txt: Content: Energy scaling for the energy resolved momentum-space images from chains of eight polariton condensates Fig.2(a-e). Fig2_N12_EnergyScaling.txt: Content: Energy scaling for the energy resolved momentum-space images from chains of twelve polariton condensates Fig.2(f). ~~~~~~~~~ Figure 3 Simulation fig3a_colordata.dat: Content: Data shown in the colourmap of Fig3(a) in the main text. Scaling: x-axis goes between -1 and 1, y-axis goes between 1.15 and 1.51. fig3a_red_curves.dat: Description: The file contains 3 columns, the first corresponds to the x-values and the other two are the y-values for the two red curves plotted on top of the colourmap shown in Fig.3(a). fig3c.dat: Description: File contains three columns, the first contains the x-values and the other two contain the y-values for the two curves displayed in Fig.3(c) fig3d.dat: Description: y-values for the data points displayed in Fig.3(d) fig3e.dat: Description: y-values for the data points displayed in Fig.3(e) fig3d_e_x_values.dat: Content: x-values for the data points displayed in Fig.3(d & e) fig3f.dat: Content: y-values for the data points display in Fig.3(f) ~~~~~~~~~ Figure 4 Experimental data from a chain of twelve polariton condensates with a uniform pump separation distance of ~10.2um, except for the between the central two condensates where a defect is engineered by reducing the pump separation to ~9.0um. Fig4a.txt: Content: Real-space photoluminescence data shown in Figure 4(a). Scaling: 0.06917um per pixel Fig4b.txt: Content: Energy resolved momentum-space (k_x=0) photoluminescence data shown in Figure 4(b). Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'Fig4b_EnergyScaling.txt' Fig4c.txt: Content: Energy resolved photoluminescence from a strip of real space connecting all condensate centres. Scaling: x-scale 0.1725um per px, y-scale (energy) given in 'Fig4c_EnergyScaling.txt' Fig4d.txt: Content: Horizontal line profile across Fig.4(c) integrated over 10 pixels vertically centred around the energy state above the defect mode (indicated by the red arrow in Fig.4(c)). Scaling: x-scale 0.1725um per px. Fig4e.txt: Content: Horizontal line profile across Fig.4(c) integrated over 10 pixels vertically centred around the defect state energy (indicated by the blue arrow in Fig.4(c)). Scaling: x-scale 0.1725um per px. Fig4b_EnergyScaling.txt: Content: Energy scaling for Fig.4(b). Fig4c_EnergyScaling.txt: Content: Energy Scaling for Fig.4(c) ~~~~~~~~~ Figure 5 Experimental dispersions from chains of twelve polariton condensates with a uniform pump separation distance of ~10.2um for varying lengths of the defect separation distance between the central two pumps. Fig5a.txt: Content: Energy resolved momentum-space (k_x=0) photoluminescence data for a defect pump separation distance of ~9.0um, shown in Fig.5(a). Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'Fig5_EnergyScaling.txt' Fig5b.txt: Content: Energy resolved momentum-space (k_x=0) photoluminescence data for a defect pump separation distance of ~8.6um, shown in Fig.5(b). Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'Fig5_EnergyScaling.txt' Fig5c.txt: Content: Energy resolved momentum-space (k_x=0) photoluminescence data for a defect pump separation distance of ~8.2um, shown in Fig.5(c). Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'Fig5_EnergyScaling.txt' Fig5d.txt: Content: Energy resolved momentum-space (k_x=0) photoluminescence data for a defect pump separation distance of ~7.6um, shown in Fig.5(d). Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'Fig5_EnergyScaling.txt' Fig5e.txt: Content: Energy resolved momentum-space (k_x=0) photoluminescence data for a defect pump separation distance of ~7.1um, shown in Fig.5(e). Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'Fig5_EnergyScaling.txt' Fig5_EnergyScaling.txt: Content: Energy scaling for all plots in Fig.5. ~~~~~~~~~ Figure 6 Fig6a.txt: Content: Data shown in Figure 6(a). Description: Real-space photoluminescence from eight polariton condensates forming a circle with a uniform separation distance between pump centres. Scaling: 0.1725um per px Fig6b.txt: Content: Data shown in Figure 6(b). Description: Momentum-space photoluminescence from eight polariton condensates forming a circle with a uniform separation distance between pump centres. Scaling: 0.007722um^(-1) Fig6c.txt: Content: Data shown in Figure 6(c). Description: Real-space photoluminescence from eight polariton condensates forming a circle with staggered separation distances between pump centres. Scaling: 0.1725um per px Fig6d.txt: Content: Data shown in Figure 6(d). Description: Momentum-space photoluminescence from eight polariton condensates forming a circle with staggered separation distances between pump centres. Scaling: 0.007722um^(-1) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Supplementary Information Supplementary Figure 1 Experimental FigS1a.txt: Content: Experimental data shown in Supplementary Figure 1(a). Scaling: 0.1725um per px FigS1b.txt: Content: Experimental data shown in Supplementary Figure 1(b). Scaling: 0.007722um^(-1) per px FigS1c.txt: Content: Experimental data shown in Supplementary Figure 1(c). Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'FigS1_ExperimentalEnergyScaling.txt' FigS1d.txt: Content: Experimental data shown in Supplementary Figure 1(d). Scaling: 0.1725um per px FigS1e.txt: Content: Experimental data shown in Supplementary Figure 1(e). Scaling: 0.007722um^(-1) per px FigS1f.txt: Content: Experimental data shown in Supplementary Figure 1(f). Scaling: x-scale 0.007722um^(-1) per px, y-scale (energy) given in 'FigS1_ExperimentalEnergyScaling.txt' FigS1_ExperimentalEnergyScaling.txt: Content: Energy scaling for Supplementary Figure 1 (c and f). Simulation FigS1_g.txt: Content: Simulation data shown in Supplementary Figure 1(g). Scaling: 0.4um per px FigS1_h.txt: Content: Simulation data shown in Supplementary Figure 1(h). Scaling: x-scaling 0.02618um^(-1) per px, y-scaling 0.021113um^(-1) per px FigS1_i.txt: Content: Simulation data shown in Supplementary Figure 1(i). Scaling: x-scale 0.010524um^(-1) per px, y-scale (energy) given in 'FigS1_SimulationEnergyScaling.txt' FigS1_j.txt: Content: Simulation data shown in Supplementary Figure 1(j). Scaling: 0.4um per px FigS1_k.txt: Content: Simulation data shown in Supplementary Figure 1(k). Scaling: x-scaling 0.032725um^(-1) per px, y-scaling 0.021817um^(-1) per px FigS1_l.txt: Content: Simulation data shown in Supplementary Figure 1(l). Scaling: x-scale 0.010524um^(-1) per px, y-scale (energy) given in 'FigS1_SimulationEnergyScaling.txt' FigS1_SimulationEnergyScaling.txt: Content: Energy scaling for Supplementary Figure 1 (i and l). ~~~~~~~~~~~~~~~~~~~~~~ Supplementary Figure 2 figs2a.txt: Content: Simulation data shown in Supplementary Figure 2(a). Scaling: 0.2um per px figs2b.txt: Content: Simulation data shown in Supplementary Figure 2(b). Scaling: 0.0196um^(-1) per px figs2c.txt: Content: Simulation data shown in Supplementary Figure 2(c). Scaling: x-range -1 to 1, y-range 0.65meV to 0.85meV figs2d.txt: Content: Simulation data shown in Supplementary Figure 2(d). Scaling: 0.2um per px figs2e.txt: Content: Simulation data shown in Supplementary Figure 2(e). Scaling: 0.0123um^(-1) per px figs2f.txt: Content: Simulation data shown in Supplementary Figure 2(f). Scaling: x-range -1 to 1, y-range 0.65meV to 0.85meV ~~~~~~~~~~~~~~~~~~~~~~ Supplementary Figure 3 Both figs3_real.txt and figs3_imag.txt contain nine columns with each column corresponding to one of the calculated energy bands. figs3_real.txt Content: Real components of the complex energy bands calculated using Bloch's theorem with complex potentials. figs3_imag.txt Content: Imaginary components of the complex energy bands calculated using Bloch's theorem with complex potentials. ~~~~~~~~~~~~~~~~~~~~~~ Supplementary Figure 4 figs4a.dat and figs4d.dat contain three data columns each. 1) Spatial coordinates of the unit cell 2) Solid line pump profile (only real part) 3) Dotted line pump profile (only real part) figs4b.dat, figs4c.dat, figs4e.dat, and figs4f.dat contain the real part of the eigenvalues for the six displayed bands in the study. For each band 'X' in each panel 'Y' (b,c,e & f) there is a file for the real and imaginary part of the Bloch eigenstates used to calculate the Zak phase of the given band. The files follow the naming pattern figs4Y_real_eigenvectorX.dat and figs4Y_imag_eigenvectorX.dat ~~~~~~~~~~~~~~~~~~~~~~ Supplementary Figure 5 figs5(b-m).dat: Simulation results presented in Supplementary Figure 5 (b-m).