WEKO3
Item
Nonequilibrium Properties of Strongly Correlated One-dimensional Quantum Gases
https://doi.org/10.15102/0002000858
https://doi.org/10.15102/0002000858da9d7870-e65b-40b2-b52d-d31512fd9875
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HiyaneHoshuFulltext.pdf (7.9 MB)
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HiyaneHoshuExamAbstract.pdf (48 KB)
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| Item type | 学位論文 / Thesis or Dissertation(1) | |||||||
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| PubDate | 2025-05-09 | |||||||
| Title | ||||||||
| Title | 一次元強相関量子気体における非平衡ダイナミクス | |||||||
| Language | ja | |||||||
| Title | ||||||||
| Title | Nonequilibrium Properties of Strongly Correlated One-dimensional Quantum Gases | |||||||
| Language | en | |||||||
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| Language | eng | |||||||
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| Subject Scheme | Other | |||||||
| Subject | ultracold atoms | non-linear soliton physics | strongly correlated quantum gases | quantum dynamics | BEC | TG | Floquet Theory | quantum many-body spectral functions | |||||||
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| Resource Type Identifier | http://purl.org/coar/resource_type/c_db06 | |||||||
| Resource Type | doctoral thesis | |||||||
| Identifier Registration | ||||||||
| Identifier Registration | 10.15102/0002000858 | |||||||
| Identifier Registration Type | JaLC | |||||||
| Access Right | ||||||||
| Access Rights | open access | |||||||
| Access Rights URI | http://purl.org/coar/access_right/c_abf2 | |||||||
| Author |
比屋根 芳周
× 比屋根 芳周
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| Author |
Hiyane, Hoshu
× Hiyane, Hoshu
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| Abstract | ||||||||
| Description Type | Abstract | |||||||
| Description | Understanding and controlling nonequilibrium quantum systems offers promising routes to applications unattainable in equilibrium systems. While equilibrium physics benefits from well-established approaches, such as minimizing free energy and obtaining various thermodynamic quantities, nonequilibrium systems possess less general guiding principles and approaches. Furthermore, strong correlations plays a crucial role in various quantum phenomena, such as high-temperature superconductors or superfluid helium, yet analyzing strongly correlated quantum systems remains exceedingly challenging. This is because these systems often require rigorous analysis beyond the standard perturbation theory, leading to the necessity of dealing with the large Hilbert space dimensions, which makes theoretical analysis difficult. However, in the case of a one-dimensional strongly interacting Bose gas called Tonks–Girardeau (TG) gas, an exact mapping to a noninteracting fermions is possible, providing a unique platform to study a strongly correlated many-body systems. This thesis aims to advance the theoretical understanding of nonequilibrium strongly correlated quantum systems from two distinct perspectives: integrability and Floquet physics. First, I investigate the nonequilibrium dynamics of strongly correlated TG bosons immersed in a weakly correlated Bose–Einstein condensate. I show that the TG bosons form an integrable soliton-train supported by the condensate. Moreover, since a gas of the noninteracting fermions follows the same governing equations, the quantum statistical nature of the soliton-train can be addressed, leading to the notion of a quantum soliton-trains. Next, I study the TG gas under a strong external time-periodic drive. By computing the nonequilibrium Green’s function exactly, I reveal the excitation spectrum of this Floquet-engineered material. Employing Floquet spectral function theory and the Bose–Fermi mapping theorem, I uncover the existence of nonequilibrium Lieb excitations when the underlying mapped fermions form a Floquet–Fermi sea. | |||||||
| Language | en | |||||||
| Exam Date | ||||||||
| 2025-04-08 | ||||||||
| Degree Conferral Date | ||||||||
| Date Granted | 2025-04-30 | |||||||
| Degree | ||||||||
| Degree Name | Doctor of Philosophy | |||||||
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| Dissertation Number | 甲第185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 | © 2025 The Author. | |||||||
