Spectroscopy using tensor renormalization group method
F.I. Az-zahra*, S. Takeda and T. Yamazaki
*: corresponding author
Full text: pdf
Pre-published on: December 07, 2024
Published on:
Abstract
We present a spectroscopy scheme using transfer matrix and tensor network.
With this method, the energy spectrum is obtained from the eigenvalues of the transfer matrix
which is estimated by coarse grained tensor network of a lattice model,
and the quantum number is classified from the matrix elements of a proper operator
that can be represented as an impurity tensor network.
Additionally, the momentum of one-particle state and two-particle state
whose total momentum is zero are classified using matrix elements of proper momentum operators.
Furthermore, using Lüscher's formula, the scattering phase shift is also computed
from the energy of two-particle state.
As a demonstration, the method is applied to (1+1)d Ising model.
DOI: https://doi.org/10.22323/1.466.0356
How to cite

Metadata are provided both in article format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in proceeding format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.