Please use this identifier to cite or link to this item:
https://hdl.handle.net/10356/136768
Title: | Applications of neural networks to the simulation of dynamics of open quantum systems | Authors: | Bandyopadhyay, Sayantan Huang, Zhongkai Sun, Kewei Zhao, Yang |
Keywords: | Engineering::Materials | Issue Date: | 2018 | Source: | Bandyopadhyay, S., Huang, Z., Sun, K., & Zhao, Y. (2018). Applications of neural networks to the simulation of dynamics of open quantum systems. Chemical Physics, 515, 272-278. doi:10.1016/j.chemphys.2018.05.019 | Journal: | Chemical Physics | Abstract: | Despite neural networks’ success, their applications to open-system dynamics are few. In this work, non-linear autoregressive neural networks are adopted to generalize time series of expectation values of observables of interest in open quantum systems. Using Dirac-Frenkel time-dependent variation with the multiple Davydov D2 Ansatz, we obtain first stages of dynamical states of both the spin-boson model and the dissipative Landau-Zener model. With calculated data, careful training of the non-linear neural networks is performed. It is shown that the training quality of the networks is sufficient to ensure a least mean square error of 1×10-11. Subsequently, the network is cross validated by testing with additional data. Successes of the network training demonstrate that initial data of simulated open-system dynamics contain sufficient knowledge regarding its future propagation. We use the first-stage information and the trained network to predict future values of target observables in the series, and succeed with considerable accuracy. | URI: | https://hdl.handle.net/10356/136768 | ISSN: | 0301-0104 | DOI: | 10.1016/j.chemphys.2018.05.019 | Rights: | © 2018 Elsevier B.V. All rights reserved. This paper was published in Chemical Physics and is made available with permission of Elsevier B.V. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
Appears in Collections: | MSE Journal Articles |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Applications of neural networks to the simulation of dynamics of open quantum systems.pdf | 1.96 MB | Adobe PDF | View/Open |
SCOPUSTM
Citations
20
4
Updated on Mar 10, 2021
PublonsTM
Citations
20
3
Updated on Mar 9, 2021
Page view(s)
37
Updated on Apr 22, 2021
Download(s) 50
23
Updated on Apr 22, 2021
Google ScholarTM
Check
Altmetric
Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.