Joint Workshop LANL/NIMS Quantum and Functional Materials and MANA International Symposium 2024


Quantum Materials - 15

Title

Numerical Spectroscopy for Entangled Quantum Materials

Author's photo

Authors

Youhei Yamaji

Affiliations

Quantum Materials Modeling Group, MANA, NIMS

URL

https://samurai.nims.go.jp/profiles/yamaji_yohei?locale=en

Email

ZHANG.Qinqiang@nims.go.jp

Abstract

Quantum entanglement among electrons has attracted much attention while direct measurements on the entanglement are not available. Instead, comparison between spectra of disentangled and entangled states has been used as a tractable approach to the entanglement [1,2]. However, other than several examples, spectroscopy spectra of entangled many-body electrons have been hardly accessible in numerical simulations.
To simulate these spectra and capture nature of the entanglement in quantum materials, such as cuprate superconductors, we have developed a flexible and efficient simulation code based on a dynamical variational method [3]. In Fig. 1, dynamical spin structure factors for the Hubbard Hamiltonian by our scheme are shown, which reproduce a continuum in 1D system [Fig.1(a)] and reveal fluctuations towards stripe phase in a doped 2D system [Fig.1(b)].

Fig. 1. Spectra obtained by our numerical simulation. (a) Dynamical spin structure factor for the one-dimensional Hubbard Hamiltonian for U/t = 8 and one electron per site, where U represents the on-site Coulomb repulsion and t is hopping among nearest-neighbor sites setting the kinetic energy scale. (b) Dynamical spin structure factor for the two-dimensional Hubbard Hamiltonian for U/t=8 and 16% hole doping.

Reference

  1. G. Mathew, et al., Phys. Rev. Research 2, 043329, (2020). DOI 10.1103/PhysRevResearch.2.043329
  2. P. Laurell, et al., Phys. Rev. Lett. 127, 037201, (2021). DOI 10.1103/PhysRevLett.127.037201
  3. K. Ido, M. Imada, and T. Misawa, Phys. Rev. B 101, 075124, (2020). DOI 10.1103/PhysRevB.101.075124