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Data for: Contactless nonlinear optics mediated by long-range Rydberg interactions (2017)
H. Busche, P. Huillery, S.W. Ball, T. Ilieva, M.P.A. Jones, C.S. Adams
Joint Quantum Centre (JQC) Durham-Newcastle, Department of Physics, Durham University, South Road, Durham, DH13LE, UK

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Figure 1:

### Data can be found in figure_1.csv

Note: The data are the same as in figure 4 and mainly shown for illustrative purposes. The main difference is that the points are not shown vs. the distance d but at the positions of each of the individual channels A and B which correspond to -d/2 and d/2. Hence, the values for the coincidence rates at -d/2 and d/2 are the same.

Line 1: Position (um)
Line 2: Coincidence rate (Normalised to coincidence rate which would be expected if retrieval in both channels was uncorrelated), equivalent to g^{(2)}_{AB}.
Line 3: Errors for coincidence rate

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Figure 2:

### Data can be found in figure_2_data_input.csv and figure_2_data_output.csv

*_input.csv provides the data for the left-hand column of graphs in figure 2.
Line 1: (Both graphs) Start time of 5ns long time bin (ns)
Line 2: (upper graph) Normalised photon count number per time bin for the input pulse for site 1 
Line 3: (lower graph) As line 2, but for the input pulse to site 2 


*.output.csv provides the data for the right-hand column. 
Line 1: (Both graphs)Start time of 5ns long time bin (ns). 
Line 2: (upper graph) Photon count number per time bin of signal light retrieved in channel A, media of both channels present. Normalised to the same scale as *_input.csv-line 2
Line 3: (upper graph) Photon count number per time bin of signal light retrieved in channel A, without medium in channel A, but medium in channel B present.
Line 4: (lower graph) Photon count number per time bin of signal light retrieved in channel B. media of both channels present. Normalised to the same scale as *_input.csv-line 3 
Line 5: (lower graph) Photon count number per time bin of signal light retrieved in channel B, without medium in channel B, but medium in channel A present.


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Figure 3:

(a) Cross channel correlation g^{(2)}_{(AB)} measured/simulated vs. principal quantum number n of Rydberg state nS_{1/2} for distance d approx. 10 um and storage time t_{st} = 170 ns
(b) Single channel correlation g^{(2)}_{(AB)} measured/simulated vs. principal quantum number n of Rydberg state nS_{1/2} for storage time t_{st} = 170 ns

### Experimental data can be found in figure_3_data.csv

Line 1: Principal quantum number n of Rydberg state nS_{1/2}
Line 2: Values for cross correlation g^{(2)}_{AB} for distance d approx. 10 um
Line 3: Errors for cross correlation g^{(2)}_{AB} for distance d approx. 10 um
Line 4: Values for single channel correlation g^{(2)}_{A}
Line 5: Errors for single channel correlation g^{(2)}_{A}
Line 6: Values for single channel correlation g^{(2)}_{B}
Line 7: Errors for single channel correlation g^{(2)}_{B}

### Simulation data can be found in figure_3_simulation.csv

Line 1: Distance d in um
Line 2: Simulation results for cross correlation g^{(2)}_{(AB)} for distance d = 10 um
Line 3: Simulation results single channel correlation g^{(2)}_{A(B)}

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Figure 4:

(a) Cross channel correlation g^{(2)}_{AB} measured/simulated vs. distance d for Rydberg state 80S_{1/2} and storage time t_{st} = 170 ns
(b) Single channel correlation g^{(2)}_{(A(B))} measured/simulated vs. distance d for Rydberg state 80S_{1/2} and storage time t_{st} = 170 ns

### Experimental data can be found in figure_4_data.csv

Line 1: Distance d in um
Line 2: Values for cross correlation g^{(2)}_{AB} for Rydberg state 80S_{1/2}
Line 3: Errors for cross correlation g^{(2)}_{AB} for Rydberg state 80S_{1/2}
Line 4: Values for single channel correlation g^{(2)}_{A} for Rydberg state 80S_{1/2}
Line 5: Errors for single channel correlation g^{(2)}_{A} for Rydberg state 80S_{1/2}
Line 6: Values for single channel correlation g^{(2)}_{B} for Rydberg state 80S_{1/2}
Line 7: Errors for single channel correlation g^{(2)}_{B} for Rydberg state 80S_{1/2}

### Simulation data can be found in figure_4_simulation.csv

Line 1: Distance d in um
Line 2: Simulation results for cross correlation g^{(2)}_{(AB)} for Rydberg state 80S_{1/2}
Line 3: Simulation results single channel correlation g^{(2)}_{A(B)} for Rydberg state 80S_{1/2}

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Figure 5:

Cross channel correlation g^{(2)}_{(AB)} measured/simulated vs. storage time t_{st} for distance d approx. 11.0 um and Rydberg state 80S_{1/2} as well as for distance d approx. 11.5 um and Rydberg state 70S_{1/2}

### Experimental data can be found in figure_5_data.csv

Line 1: Storage time in ns
Line 2: Values for cross correlation g^{(2)}_{(AB)} for Rydberg state 80S_{1/2} and distance 11.0 um
Line 3: Errors for cross correlation g^{(2)}_{(AB)} for Rydberg state 80S_{1/2} and distance 11.0 um
Line 4: Values for cross correlation g^{(2)}_{(AB)} for Rydberg state 70S_{1/2} and distance 11.5 um
Line 5: Errors for cross correlation g^{(2)}_{(AB)} for Rydberg state 70S_{1/2} and distance 11.5 um

### Simulation data can be found in figure_5_simulation.csv

Line 1: Storage time in us
Line 2: Simulation results for cross correlation g^{(2)}_{(AB)} for Rydberg state 80S_{1/2} and distance 11.0 um
Line 3: Simulation results for cross correlation g^{(2)}_{(AB)} for Rydberg state 70S_{1/2} and distance 11.5 um

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Supplementary figure:

Line 1: Detuning in MHz
Line 2: Transmission channel A when medium A present, d=10 um
Line 3: Transmission channel A when medium A absent, d=10 um
Line 4: Transmission channel B when medium B present, d=10 um
Line 5: Transmission channel B when medium B absent, d=10 um
Line 6: Transmission channel A when medium A present, d=11 um
Line 7: Transmission channel A when medium A absent, d=11 um
Line 8: Transmission channel B when medium B present, d=11 um
Line 9: Transmission channel B when medium B absent, d=11 um