Neural network quantum states analysis of the Shastry-Sutherland model

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F23%3A00580185" target="_blank" >RIV/68378271:_____/23:00580185 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/23:10473725

Výsledek na webu

<a href="https://hdl.handle.net/11104/0348949" target="_blank" >https://hdl.handle.net/11104/0348949</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21468/SciPostPhysCore.6.4.088" target="_blank" >10.21468/SciPostPhysCore.6.4.088</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Neural network quantum states analysis of the Shastry-Sutherland model

Popis výsledku v původním jazyce

We utilize neural network quantum states (NQS) to investigate the ground state properties of the Heisenberg model on a Shastry-Sutherland lattice using the variational Monte Carlo method. We show that already relatively simple NQSs can be used to approximate the ground state of this model in its different phases and regimes. We first compare several types of NQSs with each other on small lattices and benchmark their variational energies against the exact diagonalization results. We argue that when precision, generality, and computational costs are taken into account, a good choice for addressing larger systems is a shallow restricted Boltzmann machine NQS. We then show that such NQS can describe the main phases of the model in zero magnetic field. Moreover, NQS based on a restricted Boltzmann machine correctly describes the intriguing plateaus forming in magnetization of the model as a function of increasing magnetic field.n

Název v anglickém jazyce

Neural network quantum states analysis of the Shastry-Sutherland model

Popis výsledku anglicky

We utilize neural network quantum states (NQS) to investigate the ground state properties of the Heisenberg model on a Shastry-Sutherland lattice using the variational Monte Carlo method. We show that already relatively simple NQSs can be used to approximate the ground state of this model in its different phases and regimes. We first compare several types of NQSs with each other on small lattices and benchmark their variational energies against the exact diagonalization results. We argue that when precision, generality, and computational costs are taken into account, a good choice for addressing larger systems is a shallow restricted Boltzmann machine NQS. We then show that such NQS can describe the main phases of the model in zero magnetic field. Moreover, NQS based on a restricted Boltzmann machine correctly describes the intriguing plateaus forming in magnetization of the model as a function of increasing magnetic field.n

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10302 - Condensed matter physics (including formerly solid state physics, supercond.)

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Scipost Physics Core

ISSN

2666-9366

e-ISSN

—

Svazek periodika

6

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

31

Strana od-do

088

Kód UT WoS článku

001133004500001

EID výsledku v databázi Scopus

2-s2.0-85182346560