Dataset_for_Phys_Rev_Lett_132_220405_2024

The dataset used to generate figures from Phys. Rev. Lett. 132, 220405 (2024) and its Supplemental Material. ----- Name: Energy_Lx_Ny_z.txt Content:A single column containing all eigenenergies of the Hamiltonian from Eq. S25. This data was used to generate Fig. S1. In the filename: x specifies the system size, y specifies the particle number, z specifies the Hamiltonian realization. ----- Name: Lambda_Lx_Ny_termsz.txt Content:A single column containing all Hilbert-Schmidt norms, lambda_beta, of time-averaged operators, \overline{B}^\beta. The local operator basis includes only site occupations. This data was used to generate Fig. 1(a), Fig. 2(a) and Fig. S2(a). Name: LIOM_Lx_Ny_termsz.txt Content: Each column corresponds to a local integral of motion. Specifically, provides \tilde{\nu}_{i\beta}. This data was used to generate Fig. 1(b). In the filename: x specifies the system size, y specifies the particle number, z specifies the Hamiltonian. z=1 is the Hamiltonian from Eq. 4, z=2 is the Hamiltonian from Eq. S25 and z=3 is the Hamiltonian from Eq. 5. ----- Name: NEW_BASIS_Lambda_Lx_Ny_termsz.txt Content:A single column containing all Hilbert-Schmidt norms, lambda_beta, of the time-averaged operators, \overline{B}^\beta. The basis of local operators includes site occupations and all additional operators necessary for reconstructing the Hamiltonian. This data was used to generate Fig. 2(b) and Fig. S2(b). In the filename: x specifies the system size, y specifies the particle number, z specifies the Hamiltonian. z=2 is the Hamiltonian from Eq. S25 and z=3 is the Hamiltonian from Eq. 5. ----- Name: Stark_Lambda_Lx_Ny_Fieldz.txt Content:Results for the Wannier-Stark model, which Hamiltonian is provided in Eq. 6. A single column containing all Hilbert-Schmidt norms, lambda_beta, of time-averaged operators, \overline{B}^\beta. The local operator basis includes only site occupations. This data was used to generate Fig. 3(a,b). Name: Stark_LIOM_Lx_Ny_Fieldz.txt Content: Each column corresponds to a local integral of motion. Specifically, provides \tilde{\nu}_{i\beta}. In the filename: x specifies the system size, y specifies the particle number, z specifies the field strength. ----- Name: NEW_BASIS_Stark_Lambda_Lx_Ny_Fieldz.txt Content:Results for the Wannier-Stark model, which Hamiltonian is provided in Eq. 6. A single column containing all Hilbert-Schmidt norms, lambda_beta, of time-averaged operators, \overline{B}^\beta. The basis of local operators includes site occupations and all additional operators necessary for reconstructing the Hamiltonian. This data was used to generate Fig. 3(c,d). Name: NEW_BASIS_Stark_LIOM_Lx_Ny_Fieldz.txt Content: Each column corresponds to a local integral of motion. Specifically, provides \tilde{\nu}_{i\beta}. In the filename: x specifies the system size, y specifies the particle number, z specifies the field strength.