Ground-State-Based Model Reduction with Unitary Circuits

Fuente: arXiv
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Auteurs principaux: Jiang, Shengtao, White, Steven R.
Format: Preprint
Publié: 2025
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author Jiang, Shengtao
White, Steven R.
author_facet Jiang, Shengtao
White, Steven R.
contents We present a method to numerically obtain low-energy effective models based on a unitary transformation of the ground state. The algorithm finds a unitary circuit that transforms the ground state of the original model to a projected wavefunction with only the low-energy degrees of freedom. The effective model can then be derived using the unitary transformation encoded in the circuit. We test our method on the one-dimensional and two-dimensional square-lattice Hubbard model at half-filling, and obtain more accurate effective spin models than the standard perturbative approach.
format Preprint
id arxiv_https___arxiv_org_abs_2504_10774
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Ground-State-Based Model Reduction with Unitary Circuits
Jiang, Shengtao
White, Steven R.
Strongly Correlated Electrons
Quantum Physics
We present a method to numerically obtain low-energy effective models based on a unitary transformation of the ground state. The algorithm finds a unitary circuit that transforms the ground state of the original model to a projected wavefunction with only the low-energy degrees of freedom. The effective model can then be derived using the unitary transformation encoded in the circuit. We test our method on the one-dimensional and two-dimensional square-lattice Hubbard model at half-filling, and obtain more accurate effective spin models than the standard perturbative approach.
title Ground-State-Based Model Reduction with Unitary Circuits
topic Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2504.10774