Reh, Moritz ORCID: 0000-0002-8408-7558, Schmitt, Markus ORCID: 0000-0003-2223-8696 and Gaerttner, Martin (2021). Time-Dependent Variational Principle for Open Quantum Systems with Artificial Neural Networks. Phys. Rev. Lett., 127 (23). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114

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Abstract

We develop a variational approach to simulating the dynamics of open quantum many-body systems using deep autoregressive neural networks. The parameters of a compressed representation of a mixed quantum state are adapted dynamically according to the Lindblad master equation by employing a timedependent variational principle. We illustrate our approach by solving the dissipative quantum Heisenberg model in one dimension for up to 40 spins and in two dimensions for a 4 x 4 system and by applying it to the simulation of confinement dynamics in the presence of dissipation.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Reh, MoritzUNSPECIFIEDorcid.org/0000-0002-8408-7558UNSPECIFIED
Schmitt, MarkusUNSPECIFIEDorcid.org/0000-0003-2223-8696UNSPECIFIED
Gaerttner, MartinUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-573674
DOI: 10.1103/PhysRevLett.127.230501
Journal or Publication Title: Phys. Rev. Lett.
Volume: 127
Number: 23
Date: 2021
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 1079-7114
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
WAVE-FUNCTION METHOD; UNIVERSAL DYNAMICS; TENSOR NETWORKS; SIMULATION; PHYSICS; STATES; ORDERMultiple languages
Physics, MultidisciplinaryMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/57367

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