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Universal Thermal Entanglement of Multichannel Kondo Effects
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-11-22 , DOI: 10.1103/physrevlett.127.226801 Donghoon Kim 1 , Jeongmin Shim 1 , H-S Sim 1
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-11-22 , DOI: 10.1103/physrevlett.127.226801 Donghoon Kim 1 , Jeongmin Shim 1 , H-S Sim 1
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Quantum entanglement between an impurity and its environment is expected to be central in quantum impurity problems. We develop a method to compute the entanglement in spin- impurity problems, based on the entanglement negativity and the boundary conformal field theory (BCFT). Using the method, we study the thermal decay of the entanglement in the multichannel Kondo effects. At zero temperature, the entanglement has the maximal value independent of the number of the screening channels. At low temperature, the entanglement exhibits a power-law thermal decay. The power-law exponent equals two times of the scaling dimension of the BCFT boundary operator describing the impurity spin, and it is attributed to the energy-dependent scaling behavior of the entanglement in energy eigenstates. These agree with numerical renormalization group results, unveiling quantum coherence inside the Kondo screening length.
中文翻译：
多通道近藤效应的普遍热纠缠
杂质与其环境之间的量子纠缠预计将成为量子杂质问题的核心。我们开发了一种方法来计算自旋中的纠缠杂质问题，基于纠缠负性和边界共形场理论 (BCFT)。使用该方法，我们研究了多通道近藤效应中纠缠的热衰减。在零温度下，纠缠具有与屏蔽通道数量无关的最大值。在低温下，纠缠表现出幂律热衰减。幂律指数等于描述杂质自旋的 BCFT 边界算子的标度维数的两倍，这归因于能量本征态纠缠的能量相关标度行为。这些与数值重整化群结果一致，揭示了近藤筛选长度内的量子相干性。
更新日期：2021-11-23
中文翻译：
多通道近藤效应的普遍热纠缠
杂质与其环境之间的量子纠缠预计将成为量子杂质问题的核心。我们开发了一种方法来计算自旋中的纠缠杂质问题，基于纠缠负性和边界共形场理论 (BCFT)。使用该方法，我们研究了多通道近藤效应中纠缠的热衰减。在零温度下，纠缠具有与屏蔽通道数量无关的最大值。在低温下，纠缠表现出幂律热衰减。幂律指数等于描述杂质自旋的 BCFT 边界算子的标度维数的两倍，这归因于能量本征态纠缠的能量相关标度行为。这些与数值重整化群结果一致，揭示了近藤筛选长度内的量子相干性。
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