| 翻訳と辞書 |
| topological degeneracy ： ウィキペディア英語版 |
topological degeneracy
Topological degeneracy is a phenomenon in quantum many-body physics, that the ground state of a gapped many-body system becomes degenerate in the large system size limit, and that such a degeneracy cannot be lifted by any local perturbations as long as the system size is large.〔Xiao-Gang Wen and Qian Niu, (Phys. Rev. B41, 9377 (1990), "Ground state degeneracy of the FQH states in presence of random potential and on high genus Riemann surfaces" ) 〕
==Applications==
Topological degeneracy can be used to protect qubits which allows topological quantum computation.〔Chetan Nayak, Steven H. Simon, Ady Stern, Michael Freedman, Sankar Das Sarma, "Non-Abelian Anyons and Topological Quantum Computation", Rev. Mod. Phys. 80, 1083 (2008); (arXiv:0707.1889 ) 〕
It is believed that topological degeneracy implies topological order (or long-range entanglement 〔
Xie Chen, Zheng-Cheng Gu, Xiao-Gang Wen,
(Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order ) Phys. Rev. B 82, 155138 (2010)
〕) in the ground state.〔Xiao-Gang Wen, (Topological Orders in Rigid States. ) ''Int. J. Mod. Phys''. B4, 239 (1990)〕 Many-body states with topological degeneracy are described by topological quantum field theory at low energies.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
■ウィキペディアで「topological degeneracy」の詳細全文を読む
スポンサード リンク
| 翻訳と辞書 : 翻訳のためのインターネットリソース |
Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.
|
|