Variational adiabatic transport of tensor networks DOI Creative Commons
Hyeongjin Kim, Matthew Fishman, Dries Sels

et al.

arXiv (Cornell University), Journal Year: 2023, Volume and Issue: unknown

Published: Jan. 1, 2023

We discuss a tensor network method for constructing the adiabatic gauge potential -- generator of transformations as matrix product operator, which allows us to adiabatically transport states. Adiabatic evolution networks offers wide range applications, two are explored in this paper: improving optimization and scanning phase diagrams. By efficiently transporting eigenstates quantum criticality performing intermediary density renormalization group (DMRG) optimizations along way, we demonstrate that can compute ground low-lying excited states faster more reliably than standard DMRG at or near criticality. simple automated step size adjustment detection critical point based on norm potential. Remarkably, able through models study.

Language: Английский

Mean-field concept and post-DMFT methods in the modern theory of correlated systems DOI
Yana S. Lyakhova,

Grigory V. Astretsov,

A. N. Rubtsov

et al.

Physics-Uspekhi, Journal Year: 2022, Volume and Issue: 66(08), P. 775 - 793

Published: Sept. 1, 2022

Language: Английский

Citations

6
Mean-field concept and post-DMFT methods in the modern theory of correlated systems DOI
Yana S. Lyakhova,

Grigory V. Astretsov,

A. N. Rubtsov

et al.

Uspekhi Fizicheskih Nauk, Journal Year: 2022, Volume and Issue: unknown, P. 825 - 844

Published: Sept. 1, 2022

Language: Английский

Citations

3
Variational adiabatic transport of tensor networks DOI Creative Commons
Hyeongjin Kim, Matthew Fishman, Dries Sels

et al.

arXiv (Cornell University), Journal Year: 2023, Volume and Issue: unknown

Published: Jan. 1, 2023

We discuss a tensor network method for constructing the adiabatic gauge potential -- generator of transformations as matrix product operator, which allows us to adiabatically transport states. Adiabatic evolution networks offers wide range applications, two are explored in this paper: improving optimization and scanning phase diagrams. By efficiently transporting eigenstates quantum criticality performing intermediary density renormalization group (DMRG) optimizations along way, we demonstrate that can compute ground low-lying excited states faster more reliably than standard DMRG at or near criticality. simple automated step size adjustment detection critical point based on norm potential. Remarkably, able through models study.

Language: Английский

Citations

1