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相互作用する少数系における量子状態の制御: 断熱過程のための空間制御プロトコルと任意のバリアを持つクローニッヒ・ペニーモデル
https://doi.org/10.15102/1394.00000765
https://doi.org/10.15102/1394.000007657cbfe03d-f84b-406a-a58e-a7a7f4ddc2a9
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Final_Exam_Abstract (42.9 kB)
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| Item type | 学位論文 / Thesis or Dissertation(1) | |||||||
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| 公開日 | 2019-04-10 | |||||||
| タイトル | ||||||||
| タイトル | 相互作用する少数系における量子状態の制御: 断熱過程のための空間制御プロトコルと任意のバリアを持つクローニッヒ・ペニーモデル | |||||||
| 言語 | ja | |||||||
| タイトル | ||||||||
| タイトル | State engineering in one-dimensional quantum gases | |||||||
| 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 | 10.15102/1394.00000765 | |||||||
| 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) |
Reshodko, Irina
× Reshodko, Irina
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| 抄録 | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | The development of quantum technologies requires the understanding, controlling and engineering of quantum states of interacting systems, a challenge currently driven by experimental progress. In this work I study, both analytically and numerically, two specific models of one-dimensional ultracold atomic systems to determine their states and accessible dynamical behaviour. The first part of the work deals with the creation of a bosonic atom dispenser, a tool which would allow to deterministically separate any number of atoms from an interacting ultracold gas or create a many-particle noon state. By engineering an effectively three-level system, I show that a robust adiabatic process exists that connects the initial and target Fock states. Moreover, I demonstrate its potential to be experimentally implemented using radio-frequency traps. In the second part, I derive an analytical single-particle solution for the arbitrary finite Kronig–Penney model. In this model the atoms are trapped in an infinite square well which contains an arbitrary number of arbitrarily positioned point-like barriers of arbitrary heights. I also demonstrate that using certain parameters in the model as extra (virtual) dimensions one can observe the emergence of higher-dimensional physics in this one-dimensional system. In particular, I show the appearance of edge states and the emergence of a Hofstadter butterfly-like momentum spectrum in various configurations of the model. Finally, using the single-particle solutions, I study many-body correlations in a gas of either infinitely repulsive bosons or non-interacting fermions. | |||||||
| 言語 | en | |||||||
| 口頭試問日 | ||||||||
| 値 | 2019-02-26 | |||||||
| 学位授与年月日 | ||||||||
| 学位授与年月日 | 2019-03-31 | |||||||
| 学位名 | ||||||||
| 学位名 | Doctor of Philosophy | |||||||
| 学位授与番号 | ||||||||
| 学位授与番号 | 甲第29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. | |||||||
