Pal, Arijeet;
Gray, Johnnie;
Bayat, Abolfazl;
Bose, Sougato;
(2019)
Scale Invariant Entanglement Negativity at the Many-Body Localization Transition.
Arxiv
10.48550/arXiv.1908.02761.
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Abstract
The exact nature of the many-body localization transition remains an open question. An aspect which has been posited in various studies is the emergence of scale invariance around this point, however the direct observation of this phenomenon is still absent. Here we achieve this by studying the logarithmic negativity and mutual information between disjoint blocks of varying size across the many-body localization transition. The two length scales, block sizes and the distance between them, provide a clear quantitative probe of scale invariance across different length scales. We find that at the transition point, the logarithmic negativity obeys a scale invariant exponential decay with respect to the ratio of block separation to size, whereas the mutual information obeys a polynomial decay. The observed scale invariance of the quantum correlations in a microscopic model opens the direction to probe the fractal structure in critical eigenstates using tensor network techniques and provide constraints on the theory of the many-body localization transition.
Type: | Article |
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Title: | Scale Invariant Entanglement Negativity at the Many-Body Localization Transition |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.48550/arXiv.1908.02761 |
Publisher version: | https://doi.org/10.48550/arXiv.1908.02761 |
Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher's terms and conditions. |
UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
URI: | https://discovery.ucl.ac.uk/id/eprint/10117347 |
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