ダウンロード数: 178
このアイテムのファイル:
ファイル | 記述 | サイズ | フォーマット | |
---|---|---|---|---|
PhysRevB.105.205125.pdf | 1.37 MB | Adobe PDF | 見る/開く |
タイトル: | Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain |
著者: | Yamamoto, Kazuki Nakagawa, Masaya Tezuka, Masaki https://orcid.org/0000-0001-7877-0839 (unconfirmed) Ueda, Masahito Kawakami, Norio https://orcid.org/0000-0002-2339-305X (unconfirmed) |
著者名の別形: | 山本, 和樹 手塚, 真樹 川上 則雄 |
キーワード: | Cold gases in optical lattices Open quantum systems 1-dimensional systems Bethe ansatz Conformal field theory Density matrix renormalization group Effective field theory Luttinger liquid model Quantum master equation Spin chains Atomic, Molecular & Optical Condensed Matter, Materials & Applied Physics |
発行日: | May-2022 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review B |
巻: | 105 |
号: | 20 |
論文番号: | 205125 |
抄録: | We demonstrate the universal properties of dissipative Tomonaga-Luttinger (TL) liquids by calculating correlation functions and performing finite-size scaling analysis of a non-Hermitian XXZ spin chain as a prototypical model in one-dimensional open quantum many-body systems. Our analytic calculation is based on effective field theory with bosonization, finite-size scaling approach in conformal field theory, and the Bethe-ansatz solution. Our numerical analysis is based on the density-matrix renormalization group generalized to non-Hermitian systems (NH-DMRG). We uncover that the model in the massless regime with weak dissipation belongs to the universality class characterized by the complex-valued TL parameter, which is related to the complex generalization of the c=1 conformal field theory. As the dissipation strength increases, the values of the TL parameter obtained by the NH-DMRG begin to deviate from those obtained by the Bethe-ansatz analysis, indicating that the model becomes massive for strong dissipation. Our results can be tested with the two-component Bose-Hubbard system of ultracold atoms subject to two-body loss. |
著作権等: | ©2022 American Physical Society |
URI: | http://hdl.handle.net/2433/275646 |
DOI(出版社版): | 10.1103/physrevb.105.205125 |
出現コレクション: | 学術雑誌掲載論文等 |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。