The main experimental data are the µ-I characteristics of the Shapiro driven barrier.
The data within this repo are saved as csv-files containing the barrier velocity and the atom number imbalance, they can be
processed using the methods in the helper file, see read_me figure 1.
These data are generated by evaluating the absorption images as described in the paper.
Since the total amount of images is up to 200GB they are not stored in this repo.
If you are interested in these data, please contact the corresponding author.

The time resolved measurements of Figure 3, where the density modulation is observed, are saved as h5 images
where the processed absorption images are stacked as described in the paper, also here to get the raw data please
contact the corresponding author.

The repo is structured in a way that all data used for one main figure is stored in a different folder, where each folder
has its own read_me contain information about the data structure, the data for the supplementary are within one folder.

The simulation data are also stored as csv-files or h5 images, please refer to the read_mes for more information.
The source code and the evaluation files are provided within this repo, see Simulation_Codes


Find below a list of all data within this repo, sorted by figures.



# List of all measurements used in the paper:

######### Experiment Data #########

### Fig 1 ###

(B) example absorption Images I = 0.3 I_c
                                I = 1.1 I_c
                                I = 1.4 I_c 

(C) Shapiro curves \Delta µ - I/I_c  with I_m = 0 
                                          I_m = 1.0 I_c
                                          I_m = 1.6 I_c

(D) Shapiro curve \Delta µ - I/I_c  with I_m = 1.0 I_c


### Fig 2 ###

(A) Exemplary Shapiro curves with f_m = 135 Hz
                                f_m = 90 Hz
                                f_m = 60 Hz


(B) all \Delta µ - f_m data points

(C) I_0/I_c vs I_m/I_c

(D) I_1/I_c vs I_m/I_c


### Fig 3 ###

Density Overview Images:

(A) Shapiro curve µ-I,  I_m = 0;  I/I_c: I=0.48   , II =0.95  , III =1.43  ,

(B) Shapiro curve µ-I,  I_m = 0.8 I_c; I/I_c: I= 0.24 , II = 0.88 , III = 1.31 ,




######### Simulation Data #########

### Fig 1 ###

(D) µ - I curve  I _m = 1.0 I_c

(E) µ - I curves  I _m = 0.0 I_c
                  I _m = 0.5 I_c
                  I _m = 0.7 I_c
                  I _m = 1.0 I_c
                  I _m = 1.4 I_c



### Fig 2 ###

(B) simulated \Delta µ - f_m data points

(C) simulated I_0/I_c vs I_m/I_c

(D) simulated I_1/I_c vs I_m/I_c



### Fig 3 ###

(C) Shapiro curve µ-I,  I_m = 0.8 I_c; I/I_c: I= 0.5  , II =0.93  , III =1.9  ,




### Fig 4 ###

(A) Overview Phase evoluton  I/I_c = 0.9, I_m/I_c = 0.8 and f_m = 90 Hz

(B) Phase planes ; time steps = 0; 14.3; 19.5; 26.8; 31.0 ms

(C) Density planes ; time steps = 0; 14.3; 19.5; 26.8; 31.0 ms

#############################################################
#############################################################


####### Supplementary Material #######


### Fig 1 ###

calibration barrier height remaining atoms v.s intensity


### Fig 3 ###

Parameter I_c and C

(A) dN/dt vs. time and I_c*sin(\phi) v.s t
(B) d\phi/dt vs. time  and -N/C vs. time

### Fig 4 ###

Resistance measurement
\Delta µ - I/I_c;  I_m = 0


### Fig 5 ###

Current phase relation 
\phi - I/I_c

### Fig 6 ###

Speed of sound ; density overview 


### Fig 7 ###

Solitonic excitation velocity density overview as in Fig 3 B II and III , but Gaussian filtered


### Fig 8 ###

Nucleation vortex ring simulation data  


### Fig 9 ###

Shapiro Steps different barrier height µ-I curves for five barrier heights


### Fig 10 ###

Chemical potential µ vs N GPE simulation

### Fig 11 ###

Step width evaluation  µ-I/I_c curve

### Fig 12 ###

example Simulation µ- I/I_c curves

### Fig 13 ###

Simulation Vijay 

(A) µ - I/I_c curve
(B) Number of excitations per modulation period