Thermal Entanglement in Disordered Spin Chains: Localization, Thresholds, and the Quantum-to-Classical Crossover
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Abstract
We investigate the mixed-state entanglement between two spins embedded in the XXZ Heisenberg chain under thermal equilibrium. By deriving an analytical expression for the entanglement of two-spin thermal states and extending this analysis to larger spin chains, we demonstrate that mixedstate entanglement is profoundly shaped by both disorder and temperature. Our results reveal a sharp distinction between many-body localized (MBL) and ergodic phases, with entanglement vanishing above different finite temperature thresholds. Furthermore, by analyzing non-adjacent spins, we uncover an approximate exponential decay of entanglement with separation. This work advances the understanding of the quantum-to-classical transition by linking the entanglement properties of small subsystems to the broader thermal environment, offering a explanation for the absence of entanglement in macroscopic systems. These findings provide critical insights into quantum manybody physics, bridging concepts from thermalization, localization, and quantum information theory.
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Dihang Sun, Zhigang Hu, Biao Wu. Thermal Entanglement in Disordered Spin Chains: Localization, Thresholds, and the Quantum-to-Classical Crossover[J]. Chin. Phys. Lett.. DOI: 10.1088/0256-307X/42/7/070601
Dihang Sun, Zhigang Hu, Biao Wu. Thermal Entanglement in Disordered Spin Chains: Localization, Thresholds, and the Quantum-to-Classical Crossover[J]. Chin. Phys. Lett.. DOI: 10.1088/0256-307X/42/7/070601
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Dihang Sun, Zhigang Hu, Biao Wu. Thermal Entanglement in Disordered Spin Chains: Localization, Thresholds, and the Quantum-to-Classical Crossover[J]. Chin. Phys. Lett.. DOI: 10.1088/0256-307X/42/7/070601
Dihang Sun, Zhigang Hu, Biao Wu. Thermal Entanglement in Disordered Spin Chains: Localization, Thresholds, and the Quantum-to-Classical Crossover[J]. Chin. Phys. Lett.. DOI: 10.1088/0256-307X/42/7/070601
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