Generating Function for Projected Entangled-Pair States

Autor(en)

Wei-Lin Tu, Laurens Vanderstraeten, Norbert Schuch, Hyun-Yong Lee, Naoki Kawashima, Ji-Yao Chen

Abstrakt

Diagrammatic summation is a common bottleneck in modern applications of projected entangled-pair states, especially in computing low-energy excitations of a two-dimensional quantum many-body system. To solve this problem, here we extend the generating-function approach for tensor-network diagrammatic summation, a scheme previously proposed in the context of matrix product states. Taking the form of a one-particle excitation, we show that the excited state can be computed efficiently in the generating-function formalism, which can further be used in evaluating the dynamical structure factor of the system. Our benchmark results for the spin-1/2 transverse-field Ising model and Heisenberg model on the square lattice provide a desirable accuracy, showing good agreement with known results. We then study the spin-1/2J1-J2 model on the same lattice and investigate the dynamical properties of the putative gapless spin liquid phase. We conclude with a discussion on generalizations to multiparticle excitations.

Organisation(en)

Institut für Mathematik, Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Keio University, Université Libre de Bruxelles, Korea University, University of Tokyo, Sun Yat-sen University

Journal

PRX Quantum

Band

5

Seiten

010335-1 - 010335-15

Anzahl der Seiten

15

ISSN

2691-3399

DOI

https://doi.org/10.48550/arXiv.2307.08083

Publikationsdatum

03-2024

Peer-reviewed

Ja

ÖFOS 2012

103015 Kondensierte Materie, 103025 Quantenmechanik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/573dd6ca-7da4-4b5f-a902-5d1c3937fd42