论文标题
消极的哈密顿人：混合邦纠缠的操作员表征
The Negativity Hamiltonian: An operator characterization of mixed-state entanglement
论文作者
论文摘要
在量子多体系统的基础状态下，空间连接区域之间的纠缠区域直接与相应的纠缠哈密顿式的位置联系在一起：后者由局部，几乎没有体现的术语主导。在这项工作中，我们将消极的哈密顿人介绍为（非隐士）有效的汉密尔顿操作员，描述了多体系统的部分转置的对数。这使我们能够解决纠缠与操作员区域之间的连接，而不是两分纯系统的范式。作为朝这个方向迈出的第一步，我们研究了对费米子综合野外理论和自由费米链的消极性哈密顿式的结构：在这两种情况下，我们表明，哈密顿的消极性汉密尔顿假设假设了一种准局部功能形式，这是由简单功能关系捕获的。
In the context of ground states of quantum many-body systems, the locality of entanglement between connected regions of space is directly tied to the locality of the corresponding entanglement Hamiltonian: the latter is dominated by local, few-body terms. In this work, we introduce the negativity Hamiltonian as the (non hermitian) effective Hamiltonian operator describing the logarithm of the partial transpose of a many-body system. This allows us to address the connection between entanglement and operator locality beyond the paradigm of bipartite pure systems. As a first step in this direction, we study the structure of the negativity Hamiltonian for fermionic conformal field theories and a free fermion chain: in both cases, we show that the negativity Hamiltonian assumes a quasi-local functional form, that is captured by simple functional relations.
