Quantum singular value decomposition of spin correlation matrix in one-dimensional heisenberg model

Kohei Ohgane, Tatsuya Kumamoto, Hiroaki Matsueda

Research output: Contribution to journalArticlepeer-review

Abstract

We present singular value decomposition of the spin correlation matrix defined from the ground state of the onedimensional antiferromagnetic quantum Heisenberg model. The decomposition creates a data set that coincides with various domain excitations from classical antiferromagnetic state. We determine the scaling relation for the singular values as a function of the domain size. The singular values are closely related to the square of weights of the bases in the ground-state wavefunction. The nature of the singular value decomposition is to precisely estimate the appropriate bases and corresponding weights of the ground-state wavefunction.

Original languageEnglish
Article number054001
Journaljournal of the physical society of japan
Volume90
Issue number5
DOIs
Publication statusPublished - 2021 Apr 1

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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