Analysis of a density matrix renormalization group approach for transport in open quantum systems

Autor(es)

Casagrande, Heitor P. ^{[1, 2]} ; Poletti, Dario ^{[2, 3]} ; Landi, Gabriel T. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis, BR-05314970 Sao Paulo, SP - Brazil

^[2] Singapore Univ Technol & Design, Sci Math & Technol Cluster, 8 Somapah Rd, Singapore 487372 - Singapore

^[3] Singapore Univ Technol & Design, Engn Prod Dev Pillar, 8 Somapah Rd, Singapore 487372 - Singapore

• Tipo de documento: Artigo Científico
• Fonte: COMPUTER PHYSICS COMMUNICATIONS; v. 267, OCT 2021.
• Citações Web of Science: 0

Resumo

Understanding the intricate properties of one-dimensional quantum systems coupled to multiple reservoirs poses a challenge to both analytical approaches and simulation techniques. Fortunately, density matrix renormalization group-based tools, which have been widely used in the study of closed systems, have also been recently extended to the treatment of open systems. We present an implementation of such method based on state-of-the-art matrix product state (MPS) and tensor network methods, that produces accurate results for a variety of combinations of parameters. Unlike most approaches, which use the time-evolution to reach the steady-state, we focus on an algorithm that is time-independent and focuses on recasting the problem in exactly the same language as the standard Density Matrix Renormalization Group (DMRG) algorithm, initially put forward in {[}1]. Hence, it can be readily exported to any of the available DMRG platforms. We show that this implementation is suited for studying thermal transport in one-dimensional systems. As a case study, we focus on the XXZ quantum spin chain and benchmark our results by comparing the spin current and magnetization profiles with analytical results. We then explore beyond what can be computed analytically. Our code is freely available on github at {[}2]. (C) 2021 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 18/12813-0 - Termodinâmica quântica de sistemas bosônicos
• Beneficiário: Gabriel Teixeira Landi
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 17/07973-5 - Termodinâmica e tecnologias de informação utilizando sistemas quânticos de variáveis contínuas
• Beneficiário: Gabriel Teixeira Landi
• Modalidade de apoio: Auxílio à Pesquisa - Regular