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量子磁性体の集団励起における光と重力の類似性
https://doi.org/10.15102/0002000685
https://doi.org/10.15102/0002000685ccfbee6d-060f-43b4-9bf1-601ce1e6b6d2
| 名前 / ファイル | ライセンス | アクション |
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ChojnackiLeileeFulltext.pdf (10.9 MB)
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ChojnackiLeileeExamAbstract.pdf (48 KB)
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| Item type | 学位論文 / Thesis or Dissertation(1) | |||||||
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| 公開日 | 2024-11-14 | |||||||
| タイトル | ||||||||
| タイトル | 量子磁性体の集団励起における光と重力の類似性 | |||||||
| 言語 | ja | |||||||
| タイトル | ||||||||
| タイトル | Analogues of Light and Gravity in the Collective Excitations of Quantum Magnets and Cold Atoms | |||||||
| 言語 | en | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Condensed matter physics | foundations of quantum magnetism | fundamentals of electromagnetism and gravity | |||||||
| 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 | 10.15102/0002000685 | |||||||
| 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) |
Chojnacki, Leilee
× Chojnacki, Leilee
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| 抄録 | ||||||||
| 内容記述タイプ | Abstract | |||||||
| 内容記述 | Analogies are fundamental for human reasoning. In condensed matter, analogies with high-energy phenomenology have led to new insights, as exemplified by the Anderson Higgs mechanism, which led to the electroweak unification. Other extreme-scale phe nomena beyond the realm of experiment or observation can nevertheless be embodied by condensed matter analogues, at least in part. These analogues, such as the Hawking radiation emitted from the horizons of classical flowing fluids, can provide new avenues for empirically-driven inquiry. In this Thesis, I identify connections between two of nature’s fundamental force carrying Bosons and the Goldstone modes found in ordered phases of quantum mag nets and cold atoms. Specifically, I show how the long-wavelength spin waves in a collinear antiferromagnet—known to be massless, spin-1 excitations—correspond to pho tons. Building on this framework, I then establish that the long-wavelength excitations of a ferroquadrupolar, quantum spin-nematic are massless, spin-2 excitations, which corre spond to gravitons, i.e. quantized gravitational waves, in flat spacetime. Since quantum spin nematics can be realized in spinor condensates, I argue that these results offer an avenue for realizing a one-to-one analogue of gravitational waves in experiment. This con nection is further illustrated through simulation of a ferroquadrupolar spin-nematic phase, as realized in the spin-1 Bilinear-Biquadratic model on a triangular lattice. Working in a U(3) representation which captures both dipolar and quadrupolar degrees of freedom, I simulate both the thermodynamic and dynamical properties of this model. Within Clas sical Monte Carlo simulation, I find results consistent with a topological phase transition into the spin nematic phase, mediated by the unbinding of vortices. Using Molecular Dynamics simulations, I then elaborate on the dynamical properties of these vortices, and demonstrate how the annihilation of pairs of vortices could be used to generate analogue gravitational waves in spin nematics, suggesting a route to realization in spinor conden sates. I qualitatively extend the analogue to the profile of waves emitted by vortex pairs in the spin nematic, as compared to the characteristic profile measured by LIGO originating from binary mergers of massive objects. | |||||||
| 言語 | en | |||||||
| 口頭試問日 | ||||||||
| 値 | 2024-06-04 | |||||||
| 学位授与年月日 | ||||||||
| 学位授与年月日 | 2024-06-30 | |||||||
| 学位名 | ||||||||
| 学位名 | Doctor of Philosophy | |||||||
| 学位授与番号 | ||||||||
| 学位授与番号 | 甲第158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 | © 2024 The Author. | |||||||
| 権利 | ||||||||
| 権利情報Resource | https://creativecommons.org/licenses/by-sa/4.0/ | |||||||
| 権利情報 | Creative Commons Attribution-ShareAlike 4.0 International | |||||||
| 開始ページ | 1 | |||||||
