AI 中文总结
该研究分析无限跳跃链经部分投影测量后的基态纠缠哈密顿量，揭示其局域逆温度、化学势的特性，表明纠缠哈密顿量含比对应熵更多的测量结果信息。
AI 中文摘要
我们研究无限跳跃链在占据基下进行部分投影测量后的基态纠缠哈密顿量。对于被两个测量区域与链其余部分隔开的一段，我们证明其约化密度矩阵可通过共形映射和 underlying 场论描述中的规范变换与巨正则态关联。纠缠哈密顿量由一个局域逆温度描述，该逆温度在端点处按平方根规律消失，且与具体测量结果无关；而局域化学势则与该段中诱导的电荷密度相关。因此，后选态的纠缠哈密顿量包含了比对应熵多得多的关于测量结果的信息。
英文摘要
We study the entanglement Hamiltonian of an infinite hopping chain in its ground state, after partial projective measurements in the occupation basis. For a segment separated by two measurement regions from the rest of the chain, we show that the reduced density matrix can be related to a grand-canonical state via a conformal mapping and a gauge transformation in the underlying field-theory description. The entanglement Hamiltonian is then described by a local inverse temperature that vanishes as a square root around the endpoints and is independent of the particular measurement outcome. In sharp contrast, the local chemical potential is shown to be related to the induced charge density in the segment. Hence the entanglement Hamiltonian of a post-selected state contains much more information on the measurement outcome than the respective entropy.
Comments9 pages, 5 figures
