Non-Hermitian fractional quantum Hall states

DOI 機関リポジトリ HANDLE PDF Web Site 被引用文献27件 参考文献84件 オープンアクセス

抄録

<jats:title>Abstract</jats:title><jats:p>We demonstrate the emergence of a topological ordered phase for non-Hermitian systems. Specifically, we elucidate that systems with non-Hermitian two-body interactions show a fractional quantum Hall (FQH) state. The non-Hermitian Hamiltonian is considered to be relevant to cold atoms with dissipation. We conclude the emergence of the non-Hermitian FQH state by the presence of the topological degeneracy and by the many-body Chern number for the ground state multiplet showing <jats:italic>C</jats:italic><jats:sub>tot</jats:sub> = 1. The robust topological degeneracy against non-Hermiticity arises from the manybody translational symmetry. Furthermore, we discover that the FQH state emerges without any repulsive interactions, which is attributed to a phenomenon reminiscent of the continuous quantum Zeno effect.</jats:p>

収録刊行物

被引用文献 (27)*注記

もっと見る

参考文献 (84)*注記

もっと見る

関連プロジェクト

もっと見る

詳細情報 詳細情報について

問題の指摘

ページトップへ