{"title":"The shortest simulation-box for time-dependent computation of wave packets in open system","authors":"Z. Zhan, F. Traversa, X. Oriols","doi":"10.1109/IWCE.2014.6865850","DOIUrl":null,"url":null,"abstract":"A novel algorithm for a reduction of the computational burden associated to the time-dependent simulation of quantum transport with pure states is presented. The algorithm is based on using the superposition principle and the analytical knowledge of the free time-evolution of an initial state outside of the active region, together with absorbing layers. It is specially suited to study (many-particle and high-frequency effects) quantum transport, but it can also be applied to any other research field where the initial time-dependent pure state is located outside of the active region. Numerical results for a 1D system with the shortest simulation box imply a reduction of the computational burden of more than one order of magnitude with a negligible error.","PeriodicalId":168149,"journal":{"name":"2014 International Workshop on Computational Electronics (IWCE)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 International Workshop on Computational Electronics (IWCE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCE.2014.6865850","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
A novel algorithm for a reduction of the computational burden associated to the time-dependent simulation of quantum transport with pure states is presented. The algorithm is based on using the superposition principle and the analytical knowledge of the free time-evolution of an initial state outside of the active region, together with absorbing layers. It is specially suited to study (many-particle and high-frequency effects) quantum transport, but it can also be applied to any other research field where the initial time-dependent pure state is located outside of the active region. Numerical results for a 1D system with the shortest simulation box imply a reduction of the computational burden of more than one order of magnitude with a negligible error.
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