{"title":"Simulating the Ising Hamiltonian with phonons","authors":"I. Mahboob, H. Okamoto, H. Yamaguchi","doi":"10.1109/ICIPRM.2016.7528805","DOIUrl":null,"url":null,"abstract":"The phonons in an electromechanical system are harnessed to mimic the fundamentals of the Ising model. Specifically spins are mimicked by mechanical parametric resonances and the coupling between them is created by generating two-mode squeezed states. These results suggest that an electromechanical system could be developed to imitate the Ising Hamiltonian for a large number of spins with multiple degrees of coupling, a task that would overwhelm a conventional computer.","PeriodicalId":357009,"journal":{"name":"2016 Compound Semiconductor Week (CSW) [Includes 28th International Conference on Indium Phosphide & Related Materials (IPRM) & 43rd International Symposium on Compound Semiconductors (ISCS)","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 Compound Semiconductor Week (CSW) [Includes 28th International Conference on Indium Phosphide & Related Materials (IPRM) & 43rd International Symposium on Compound Semiconductors (ISCS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIPRM.2016.7528805","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The phonons in an electromechanical system are harnessed to mimic the fundamentals of the Ising model. Specifically spins are mimicked by mechanical parametric resonances and the coupling between them is created by generating two-mode squeezed states. These results suggest that an electromechanical system could be developed to imitate the Ising Hamiltonian for a large number of spins with multiple degrees of coupling, a task that would overwhelm a conventional computer.
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