TY - JOUR

T1 - The standard block RG and DMRG for open systems

AU - Andrianov, A.A.

AU - Mikheeva, A.A.

N1 - Export Date: 19 October 2024 CODEN: PYLAA Адрес для корреспонденции: Mikheeva, A.A.; PNPI NRC “Kurchatov Institute”Russian Federation; эл. почта: anmikheeva14@gmail.com Сведения о финансировании: Ministry of Education and Science of the Russian Federation, Minobrnauka, 075–15–2022–287 Текст о финансировании 1: The work is supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075\u201315\u20132022\u2013287).

PY - 2024/8/15

Y1 - 2024/8/15

N2 - For physical models that can be described by a lattice, a coarse-graining transformation is defined according to the numerical Wilson renormgroup. We formulated a numerical RG method for open quantum systems. To create it, on the one hand, we used the information about how the Hamiltonian is transformed in the standard method defined for Hamiltonian systems and, on the other hand, the knowledge how the Hamiltonian enters the right part of the GKLS equation. After that we have shown exactly how the environment given by Lindblad operators can be inscribed into a well known alternative to the standard method – the DMRG. In the prospects using the methods of numerical renormgroup for open systems allow us to investigate the time behaviour of quantum entanglement. Using the DMRG example for the Ising model in the transverse field, we have demonstrated the behaviour of entanglement for a small iteration number. © 2024 Elsevier B.V.

AB - For physical models that can be described by a lattice, a coarse-graining transformation is defined according to the numerical Wilson renormgroup. We formulated a numerical RG method for open quantum systems. To create it, on the one hand, we used the information about how the Hamiltonian is transformed in the standard method defined for Hamiltonian systems and, on the other hand, the knowledge how the Hamiltonian enters the right part of the GKLS equation. After that we have shown exactly how the environment given by Lindblad operators can be inscribed into a well known alternative to the standard method – the DMRG. In the prospects using the methods of numerical renormgroup for open systems allow us to investigate the time behaviour of quantum entanglement. Using the DMRG example for the Ising model in the transverse field, we have demonstrated the behaviour of entanglement for a small iteration number. © 2024 Elsevier B.V.

KW - Ising model

KW - Iterative methods

KW - Numerical methods

KW - Open systems

KW - Quantum entanglement

KW - Quantum optics

KW - Coarse Graining

KW - Hamiltonian systems

KW - Iteration numbers

KW - Lindblad operators

KW - Open quantum systems

KW - Physical modelling

KW - Renorm-group

KW - Time behavior

KW - Transverse field

KW - Hamiltonians

UR - https://www.mendeley.com/catalogue/18547f72-7d5a-3cc2-965b-7907aa19d942/

U2 - 10.1016/j.physleta.2024.129641

DO - 10.1016/j.physleta.2024.129641

M3 - статья

VL - 516

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

M1 - 129641

ER -