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Massively parallel split-step Fourier techniques for simulating quantum systems on graphics processing units
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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| PubDate | 2019-12-27 | |||||||
| Title | ||||||||
| Title | 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 | |||||||
| Language | ja | |||||||
| Title | ||||||||
| Title | Massively parallel split-step Fourier techniques for simulating quantum systems on graphics processing units | |||||||
| Language | en | |||||||
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| Language | eng | |||||||
| Resource Type | ||||||||
| Resource Type Identifier | http://purl.org/coar/resource_type/c_db06 | |||||||
| Resource Type | doctoral thesis | |||||||
| Identifier Registration | ||||||||
| Identifier Registration | 10.15102/1394.00001054 | |||||||
| Identifier Registration Type | JaLC | |||||||
| Access Right | ||||||||
| Access Rights | open access | |||||||
| Access Rights URI | http://purl.org/coar/access_right/c_abf2 | |||||||
| Author |
Schloss, James
× Schloss, James
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| Abstract | ||||||||
| Description Type | Other | |||||||
| Description | 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. | |||||||
| Language | en | |||||||
| Exam Date | ||||||||
| 2019-12-09 | ||||||||
| Degree Conferral Date | ||||||||
| Date Granted | 2019-12-31 | |||||||
| Degree | ||||||||
| Degree Name | Doctor of Philosophy | |||||||
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| Dissertation Number | 甲第41号 | |||||||
| Degree Conferrral Institution | ||||||||
| Degree Grantor Name Identifier Scheme | kakenhi | |||||||
| Degree Grantor Name Identifier | 38005 | |||||||
| Degree Grantor Name | Okinawa Institute of Science and Technology Graduate University | |||||||
| Version Format | ||||||||
| Version Type | VoR | |||||||
| Version Type Resource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||
| Copyright Information | ||||||||
| Rights | © 2019 The Author. | |||||||
