Update README.md

README.md

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 # Model Card for Model ID
 
 <!-- Provide a quick summary of what the model is/does. -->
-Foundation Neural Quantum State trained on the Ising in disordered transverse field model on a chain with \\(L=32\\) sites.
-Several values of the external field are available (check the different revisions).
+Foundation Neural Quantum State trained on the Ising in disordered transverse field model on a chain with \\(L=32\\) sites. The model Hamiltonian is:
+
+$$
+\hat{H} = -J\sum_{i=1}^N \hat{S}_i^z \hat{S}_{i+1}^z - \sum_{i=1}^N h_i \hat{S}_i^x \ ,
+$$
+
+where \\(h_i\\) is the on-site transverse magnetic field at the \\(i\\)-th site. 
+In the disordered case,\\(h_i\\) varies randomly along the chain, drawn independently and identically from the uniform distribution on the interval \\([0, h_0]\\).
+
+Several values of the external field intensity \\(h_0\\) are available (check the different revisions).
 
 The model has been trained on \\(R=2000\\) different disorder realization, using a total batch size of \\(M=10000\\) samples.
 The computation has been distributed over 4 A100-64GB GPUs for about two hours.