Absence of Fast Scrambling in Thermodynamically Stable Long-Range Interacting Systems

Tomotaka Kuwahara, Keiji Saito

研究成果: Article査読

4 被引用数 (Scopus)

抄録

In this study, we investigate out-of-time-order correlators (OTOCs) in systems with power-law decaying interactions such as R-α, where R is the distance. In such systems, the fast scrambling of quantum information or the exponential growth of information propagation can potentially occur according to the decay rate α. In this regard, a crucial open challenge is to identify the optimal condition for α such that fast scrambling cannot occur. In this study, we disprove fast scrambling in generic long-range interacting systems with α>D (D: spatial dimension), where the total energy is extensive in terms of system size and the thermodynamic limit is well defined. We rigorously demonstrate that the OTOC shows a polynomial growth over time as long as α>D and the necessary scrambling time over a distance R is larger than t≳R[(2α-2D)/(2α-D+1)].

本文言語English
論文番号030604
ジャーナルPhysical review letters
126
3
DOI
出版ステータスPublished - 2021 1 22

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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