Dataset for "Engineering a Josephson junction chain for the simulation of the clock model" arXiv.2408.14549

The data folder contains subfolders named L{$L}_Nc{$Nc}, where {$L} indicates the length of the chain of superconducting elements used for the  DMRG calculations and {$Nc} is the charge cutoff.

Each data file has a name of the form

dmrgL{$L}_ng{$ng}_Ec{Ec}_jnn{$jnn}_phi{$phi}.out

The name allows to reconstruct the parameters used in the calculation:

L -> chain length

ng -> induced charge $n_g$

Ec -> charging energy $E_c$

jnn -> nearest neighbors Josephson coupling ($E_J$ in the text)

phi -> phase in the nearest neighbors coupling. ($A_j$ in the text)

All parameters refer to the Hamiltonian in equation (7).

Each file contains: 

convergence of the dmrg sweeps

ground-state energy and variance 

entanglement entropy at each link

charge occupation for each state (columns) and each superconducting Island (rows)

order parameter 

charge fluctuation: first column is the site index $j$ , second is $\langle n_j^2 \rangle$ and third $\langle n_j \rangle ^2$

Ntot2: fluctuations of the total charge $\langle N^2 \rangle$

average current

correlation matrix: first two columns identify the row and column indices, the third is the value of the correlation function

string correlation function: the correlation of the disorder operators (tau) is always computed with respect to the site with $j=20$. it has been computed only for data with $L=100$