Speaker
Description
We develop a computational scheme based on the tensor renormalization group method to investigate the multi-particle state of the (1+1)d Ising model. The scheme is started by representing the system as a tensor network and coarse-graining it with the higher-order tensor renormalization group algorithm. Thereafter, we construct the corresponding numerical transfer matrix from the coarse-grained tensor and evaluate its eigenvalues to extract the energy spectrum. Following this, we classify the quantum number of the energy eigenstates by computing the matrix elements of a proper insertion operator. The matrix elements are represented as impurity tensor networks and computed with the coarse-graining scheme. After the classification, we identify the number of particles in each eigenstate from the size dependence of the corresponding energy eigenvalues, and we can detect up to the four-particle state. From the two particle-state sectors, we analyze the dynamics by computing the scattering phase shift with two approaches i.e. first is from the energy spectrum with a help of Lüscher’s formula and second is from the two-particle state wave function.
| Parallel Session (for talks only) | Theoretical developments and applications beyond Standard Model |
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