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.本数据集用于生成《物理评论快报》(Physical Review Letters, Phys. Rev. Lett.) 132, 220405 (2024) 及其补充材料中的配图。 ----- 名称：Energy_Lx_Ny_z.txt 内容：单列存储了式S25中哈密顿量的全部本征能量。本数据集用于生成图S1。文件名说明： x代表系统尺寸， y代表粒子数， z代表哈密顿量实现实例。 ----- 名称：Lambda_Lx_Ny_termsz.txt 内容：单列存储了时间平均算符$overline{B}^eta$的全部希尔伯特-施密特范数(Hilbert-Schmidt norms) $lambda_eta$。局域算符基仅包含格点占据数。本数据集用于生成图1(a)、图2(a)及图S2(a)。 ----- 名称：LIOM_Lx_Ny_termsz.txt 内容：每一列对应一个局域运动积分，具体存储$ ilde{ u}_{ieta}$。本数据集用于生成图1(b)。文件名说明： x代表系统尺寸， y代表粒子数， z代表哈密顿量实例。其中z=1对应式4中的哈密顿量，z=2对应式S25中的哈密顿量，z=3对应式5中的哈密顿量。 ----- 名称：NEW_BASIS_Lambda_Lx_Ny_termsz.txt 内容：单列存储了时间平均算符$overline{B}^eta$的全部希尔伯特-施密特范数(Hilbert-Schmidt norms) $lambda_eta$。局域算符基包含格点占据数，以及所有用于重构哈密顿量所需的额外算符。本数据集用于生成图2(b)及图S2(b)。文件名说明： x代表系统尺寸， y代表粒子数， z代表哈密顿量实例。其中z=2对应式S25中的哈密顿量，z=3对应式5中的哈密顿量。 ----- 名称：Stark_Lambda_Lx_Ny_Fieldz.txt 内容：对应瓦尼尔-斯塔克(Wannier-Stark)模型，其哈密顿量见式6。单列存储了时间平均算符$overline{B}^eta$的全部希尔伯特-施密特范数(Hilbert-Schmidt norms) $lambda_eta$。局域算符基仅包含格点占据数。本数据集用于生成图3(a,b)。 ----- 名称：Stark_LIOM_Lx_Ny_Fieldz.txt 内容：每一列对应一个局域运动积分，具体存储$ ilde{ u}_{ieta}$。文件名说明： x代表系统尺寸， y代表粒子数， z代表场强大小。 ----- 名称：NEW_BASIS_Stark_Lambda_Lx_Ny_Fieldz.txt 内容：对应瓦尼尔-斯塔克(Wannier-Stark)模型，其哈密顿量见式6。单列存储了时间平均算符$overline{B}^eta$的全部希尔伯特-施密特范数(Hilbert-Schmidt norms) $lambda_eta$。局域算符基包含格点占据数，以及所有用于重构哈密顿量所需的额外算符。本数据集用于生成图3(c,d)。 ----- 名称：NEW_BASIS_Stark_LIOM_Lx_Ny_Fieldz.txt 内容：每一列对应一个局域运动积分，具体存储$ ilde{ u}_{ieta}$。文件名说明： x代表系统尺寸， y代表粒子数， z代表场强大小。