Propagating large open quantum systems towards their asymptotic states: cluster implementation of the time-evolving block decimation scheme
dc.contributor.author | Volokitin, V | |
dc.contributor.author | Vakulchyk, Ihor | |
dc.contributor.author | Kozinov, E | |
dc.contributor.author | Liniov, A | |
dc.contributor.author | Meyerov, I | |
dc.contributor.author | Ivanchenko, Mikhail | |
dc.contributor.author | Laptyeva, T | |
dc.contributor.author | Denysov, Sergiy | |
dc.date.accessioned | 2020-02-04T10:06:29Z | |
dc.date.accessioned | 2020-03-08T21:07:38Z | |
dc.date.available | 2020-02-04T10:06:29Z | |
dc.date.available | 2020-03-08T21:07:38Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Volokitin V, Vakulchyk I, Kozinov E, Liniov A, Meyerov I, Ivanchenko M, Laptyeva T, Denysov S. Propagating large open quantum systems towards their asymptotic states: cluster implementation of the time-evolving block decimation scheme. Journal of Physics: Conference Series. 2019;1392 | en |
dc.identifier.issn | 1742-6588 | |
dc.identifier.issn | 1742-6588 | |
dc.identifier.issn | 1742-6596 | |
dc.identifier.uri | https://hdl.handle.net/10642/8245 | |
dc.description.abstract | Many-body quantum systems are subjected to the Curse of Dimensionality: The dimension of the Hilbert space H, where these systems live in, grows exponentially with number of their components. However, with some systems, it is possible to escape the curse by using a low-rank tensor approximation known as "matrix-product state/operator (MPS/O) representation" in the quantum community and "tensor-train decomposition" among applied mathematicians. Motivated by recent advances in computational quantum physics, we consider chains of N spins coupled by nearest-neighbor interactions. The spins are subjected to an action coming from the environment. Spatially disordered interaction and environment-induced decoherence drive systems into non-trivial asymptotic states. The dissipative evolution is modeled with a Markovian master equation in the Lindblad form. By implementing the MPO technique and propagating system states with the time-evolving block decimation scheme, which allows keeping the length of the state descriptions fixed, it is in principle possible to reach the asymptotic states. We propose and realize a cluster implementation of this idea. The implementation on four nodes allowed us to resolve the asymptotic states of the model systems with N = 128 spins (total dimension of the Hilbert space dimH = 2128 ≈ 1039). | en |
dc.description.sponsorship | The authors acknowledge support of the Russian Foundation for Basic Research and theGovernment of the Nizhni Novgorod region of the Russian Federation, grant # 18-41-520004.IV acknowledges support by the Institute for Basic Science, Project Code (IBS-R024-D1), andby the Korea University of Science and Technology Overseas Training program. | en |
dc.language.iso | en | en |
dc.publisher | IOP Publishing: Conference Series | en |
dc.relation.ispartofseries | Journal of Physics: Conference Series;Volume 1392 | |
dc.relation.uri | https://iopscience.iop.org/article/10.1088/1742-6596/1392/1/012061 | |
dc.rights | Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. | en |
dc.rights.uri | https://creativecommons.org/licenses/by/3.0/ | |
dc.subject | Open quantum systems | en |
dc.subject | Asymptotic states | en |
dc.subject | Cluster implementations | en |
dc.subject | Time evolving block decimation schemes | en |
dc.title | Propagating large open quantum systems towards their asymptotic states: cluster implementation of the time-evolving block decimation scheme | en |
dc.type | Journal article | en |
dc.type | Peer reviewed | en |
dc.date.updated | 2020-02-04T10:06:29Z | |
dc.description.version | publishedVersion | en |
dc.identifier.doi | https://dx.doi.org/10.1088/1742-6596/1392/1/012061 | |
dc.identifier.cristin | 1760661 | |
dc.source.journal | Journal of Physics: Conference Series |
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