Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-10744
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Main Title: Using Matrix-Product States for Open Quantum Many-Body Systems: Efficient Algorithms for Markovian and Non-Markovian Time-Evolution
Author(s): Finsterhölzl, Regina
Katzer, Manuel
Knorr, Andreas
Carmele, Alexander
Type: Article
Language Code: en
Abstract: This paper presents an efficient algorithm for the time evolution of open quantum many-body systems using matrix-product states (MPS) proposing a convenient structure of the MPS-architecture, which exploits the initial state of system and reservoir. By doing so, numerically expensive re-ordering protocols are circumvented. It is applicable to systems with a Markovian type of interaction, where only the present state of the reservoir needs to be taken into account. Its adaption to a non-Markovian type of interaction between the many-body system and the reservoir is demonstrated, where the information backflow from the reservoir needs to be included in the computation. Also, the derivation of the basis in the quantum stochastic Schrödinger picture is shown. As a paradigmatic model, the Heisenberg spin chain with nearest-neighbor interaction is used. It is demonstrated that the algorithm allows for the access of large systems sizes. As an example for a non-Markovian type of interaction, the generation of highly unusual steady states in the many-body system with coherent feedback control is demonstrated for a chain length of N = 30.
URI: https://depositonce.tu-berlin.de/handle/11303/11854
http://dx.doi.org/10.14279/depositonce-10744
Issue Date: 4-Sep-2020
Date Available: 6-Nov-2020
DDC Class: 530 Physik
Subject(s): quantum spin chains
matrix-product states
open quantum systems
many-body systems
numerical methods
quantum stochastic Schrödinger equation
feedback control
Sponsor/Funder: TU Berlin, Open-Access-Mittel – 2020
DFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte
License: https://creativecommons.org/licenses/by/4.0/
Journal Title: Entropy
Publisher: MDPI
Publisher Place: Basel
Volume: 22
Issue: 9
Article Number: 984
Publisher DOI: 10.3390/e22090984
EISSN: 1099-4300
Appears in Collections:AG Nichtlineare Optik und Quantenelektronik » Publications

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