Entanglement entropy and the Berry phase in the solid state
スポンサーリンク
概要
- 論文の詳細を見る
The entanglement entropy (von Neumann entropy) has been used to characterize the complexity of many-body ground states in strongly correlated systems. In this paper, we try to establish a connection between the lower bound of the von Neumann entropy and the Berry phase defined for quantum ground states. As an example, a family of translational invariant lattice free fermion systems with two bands separated by a finite gap is investigated. We argue that, for one-dimensional (1D) cases, when the Berry phase (Zak's phase) of the occupied band is equal to pi×(odd integer) and when the ground state respects a discrete unitary particle-hole symmetry (chiral symmetry), the entanglement entropy in the thermodynamic limit is at least larger than ln 2 (per boundary), i.e., the entanglement entropy that corresponds to a maximally entangled pair of two qubits. We also discuss how this lower bound is related to vanishing of the expectation value of a certain nonlocal operator which creates a kink in 1D systems.
論文 | ランダム
- エコキュート販売台数が2年で4倍に 鍵は「ニュースレター」と「ブログ」--アンド・はとや(石川県能美市) (特集 プロのノウハウを大公開 保存版 オール電化「トラブル事例&解決法」) -- (オール電化の新提案手法)
- いかに喜んでもらうかがエコキュート販売の原点 ノウハウ拝見/エコキュート年間100台に挑戦する「パナファミリー」
- AV・家電 エコキュート/三菱「08年度モデル」 風呂配管を自動洗浄できる「バブルおそうじ」に注目
- Changes in Metabolic Syndrome and Its Components with Lifestyle Modification in Japanese Men
- Evaluation of muscle strength and its relation to exercise habits in Japanese