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arXiv · 1704.04850

Scrambling of Quantum Information in Quantum Many-Body Systems

Eiki Iyoda·Takahiro Sagawa
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Abstract

We systematically investigate scrambling (or delocalizing) processes of quantum information encoded in quantum many-body systems by using numerical exact diagonalization. As a measure of scrambling, we adopt the tripartite mutual information (TMI) that becomes negative when quantum information is delocalized. We clarify that scrambling is an independent property of integrability of Hamiltonians; TMI can be negative or positive for both integrable and non-integrable systems. This implies that scrambling is a separate concept from conventional quantum chaos characterized by non-integrability. Furthermore, we calculate TMI in disordered systems such as many-body localized (MBL) systems and the Sachdev-Ye-Kitaev (SYK) model. We find that scrambling occurs but is slow in a MBL phase, while disorder in the SYK model does not make scrambling slower but makes it smoother.

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Eiki Iyoda, Takahiro Sagawa. 2017-04-17. Scrambling of Quantum Information in Quantum Many-Body Systems. https://doi.org/10.1103/physreva.97.042330

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