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GPUを用いた量子系シミュレーションのための大規模並列スプリットステップ・フーリエ法
https://doi.org/10.15102/1394.00001054
https://doi.org/10.15102/1394.00001054d8050967-0e42-4a82-970d-fd9e15561c45
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| Item type | 学位論文 / Thesis or Dissertation(1) | |||||||
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| 公開日 | 2019-12-27 | |||||||
| タイトル | ||||||||
| タイトル | GPUを用いた量子系シミュレーションのための大規模並列スプリットステップ・フーリエ法 | |||||||
| 言語 | ja | |||||||
| タイトル | ||||||||
| タイトル | Massively parallel split-step Fourier techniques for simulating quantum systems on graphics processing units | |||||||
| 言語 | en | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| 資源タイプ | ||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_db06 | |||||||
| 資源タイプ | doctoral thesis | |||||||
| ID登録 | ||||||||
| ID登録 | 10.15102/1394.00001054 | |||||||
| ID登録タイプ | JaLC | |||||||
| アクセス権 | ||||||||
| アクセス権 | open access | |||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||
| 著者 (英) |
Schloss, James
× Schloss, James
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| 抄録 | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | The split-step Fourier method is a powerful technique for solving partial differential equations and simulating ultracold atomic systems of various forms. In this body of work, we focus on several variations of this method to allow for simulations of one, two, and three-dimensional quantum systems, along with several notable methods for controlling these systems. In particular, we use quantum optimal control and shortcuts to adiabaticity to study the non-adiabatic generation of superposition states in strongly correlated one-dimensional systems, analyze chaotic vortex trajectories in two dimensions by using rotation and phase imprinting methods, and create stable, threedimensional vortex structures in Bose–Einstein condensates through artificial magnetic fields generated by the evanescent field of an optical nanofiber. We also discuss algorithmic optimizations for implementing the split-step Fourier method on graphics processing units. All computational methods present in this work are demonstrated on physical systems and have been incorporated into a state-of-the-art and open-source software suite known as GPUE, which is currently the fastest quantum simulator of its kind. | |||||||
| 言語 | en | |||||||
| 口頭試問日 | ||||||||
| 値 | 2019-12-09 | |||||||
| 学位授与年月日 | ||||||||
| 学位授与年月日 | 2019-12-31 | |||||||
| 学位名 | ||||||||
| 学位名 | Doctor of Philosophy | |||||||
| 学位授与番号 | ||||||||
| 学位授与番号 | 甲第41号 | |||||||
| 学位授与機関 | ||||||||
| 学位授与機関識別子Scheme | kakenhi | |||||||
| 学位授与機関識別子 | 38005 | |||||||
| 学位授与機関名 | Okinawa Institute of Science and Technology Graduate University | |||||||
| 著者版フラグ | ||||||||
| 出版タイプ | VoR | |||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||
| 権利 | ||||||||
| 権利情報 | © 2019 The Author. | |||||||
