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arXiv · 1912.08131

Universal algebraic growth of entanglement entropy in many-body localized systems with power-law interactions

Xiaolong Deng·Guido Masella·Guido Pupillo·Luis Santos
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Abstract

Power-law interactions play a key role in a large variety of physical systems. In the presence of disorder, these systems may undergo many-body localization for a sufficiently large disorder. Within the many-body localized phase the system presents in time an algebraic growth of entanglement entropy, $S_{vN}(t)\propto t^{\gamma}$. Whereas the critical disorder for many-body localization depends on the system parameters, we find by extensive numerical calculations that the exponent $\gamma$ acquires a universal value $\gamma_c\simeq 0.33$ at the many-body localization transition, for different lattice models and decay powers. Moreover, our results suggest an intriguing relation between $\gamma_c$ and the critical minimal decay power of interactions necessary for the observation of many-body localization.

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Xiaolong Deng, Guido Masella, Guido Pupillo, Luis Santos. 2019-12-17. Universal algebraic growth of entanglement entropy in many-body localized systems with power-law interactions. https://doi.org/10.1103/physrevlett.125.010401

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