论文标题
在耗散系统中揭开量子式和欧姆浴的量子纠缠和相关性
Unveiling quantum entanglement and correlation of sub-Ohmic and Ohmic baths for quantum phase transitions in dissipative systems
论文作者
论文摘要
通过在环境模式的致密极限下使用自旋 - 玻色子模型，根据变异原理对量子型和欧姆浴的量子纠缠和相关性进行耗散量子相变的数值研究。通过从量子信息理论借用的几项措施，分别针对一阶，二阶和kosterlitz-分别发现了三种不同类型的奇异性，分别可以准确确定过渡点和关键指数的值。此外，在欧姆情况下，量子不和谐的缩放形式与亚欧马型制度中的尺度不和谐相同。在两个旋转模型中，发现了量子不一致的两个不同的行为：一个与两个旋转之间的量子纠缠有关，另一个与位置空间中的相关函数决定，而不是纠缠。
By employing the spin-boson model in a dense limit of environmental modes, quantum entanglement and correlation of sub-Ohmic and Ohmic baths for dissipative quantum phase transitions are numerically investigated based on the variational principle. With several measures borrowed from quantum information theory, three different types of singularities are found for the first-order, second-order, and Kosterlitz-Thouless phase transitions, respectively, and the values of transition points and critical exponents are accurately determined. Besides, the scaling form of the quantum discord in the Ohmic case is identified, quite different from that in the sub-Ohmic regime. In a two-spin model, two distinct behaviors of the quantum discord are uncovered: one is related to the quantum entanglement between two spins and the other is decided by the correlation function in the position space rather than the entanglement.
