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Transition probability generating function of a transitionless quantum parametric oscillator
http://hdl.handle.net/2237/27023
http://hdl.handle.net/2237/27023175ca75e-6f8c-43fd-a3cf-2d2b7c15b9b7
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
PhysRevE_96_012133.pdf (477.4 kB)
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| アイテムタイプ | 学術雑誌論文 / Journal Article(1) | |||||
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| 公開日 | 2017-10-06 | |||||
| タイトル | ||||||
| タイトル | Transition probability generating function of a transitionless quantum parametric oscillator | |||||
| 言語 | en | |||||
| 著者 |
Mishima, Hiroaki
× Mishima, Hiroaki× Izumida, Yuki |
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| 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 | |||||
| 権利 | ||||||
| 権利情報 | © 2017 American Physical Society | |||||
| 言語 | en | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | The transitionless tracking (TT) algorithm enables the exact tracking of quantum adiabatic dynamics in an arbitrary short time by adding a counterdiabatic Hamiltonian to the original adiabatic Hamiltonian. By applying Husimi's method originally developed for a quantum parametric oscillator (QPO) to the transitionless QPO achieved using the TT algorithm, we obtain the transition probability generating function with a time-dependent parameter constituted with solutions of the corresponding classical parametric oscillator (CPO). By obtaining the explicit solutions of this CPO using the phase-amplitude method, we find that the time-dependent parameter can be reduced to the frequency ratio between the Hamiltonians without and with the counterdiabatic Hamiltonian, from which we can easily characterize the result achieved by the TT algorithm. We illustrate our theory by showing the trajectories of the CPO on the classical phase space, which elucidate the effect of the counterdiabatic Hamiltonian of the QPO. | |||||
| 言語 | en | |||||
| 出版者 | ||||||
| 出版者 | American Physical Society | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | journal article | |||||
| 出版タイプ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
| DOI | ||||||
| 関連タイプ | isVersionOf | |||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | https://doi.org/10.1103/PhysRevE.96.012133 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 2470-0045 | |||||
| 書誌情報 |
en : Physical Review E 巻 96, 号 1, p. 012133-012133, 発行日 2017-07-17 |
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| 著者版フラグ | ||||||
| 値 | publisher | |||||
| URI | ||||||
| 識別子 | http://doi.org/10.1103/PhysRevE.96.012133 | |||||
| 識別子タイプ | DOI | |||||
| URI | ||||||
| 識別子 | http://hdl.handle.net/2237/27023 | |||||
| 識別子タイプ | HDL | |||||
