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arXiv:1812.06959 · Nature

Quantum critical behaviour at the many-body localization transition

Matthew Rispoli, Alexander Lukin, Robert Schittko, Sooshin Kim, M. Eric Tai, Julian Léonard, Markus Greiner

Published Sep 4, 2019• 209 citations
arXivHTMLPDF
DOI
10.1038/s41586-019-1527-2

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We show that the transition between a ETH phase and a many-body localized phase is marked by the different finite size scaling behaviour of the decay of the Loschmidt Echo and its temporal fluctuations - after a quantum quench - in the infinite time limit, despite the fact that the finite time behaviour of such quantities is dramatically different approach the MBL phase, so that temporal fluctuations cannot be inferred from the infinite time average of the Loschmidt Echo. We also show the different scrambling powers of ETH and MBL Hamiltonians as a probe to the different approaches to equilibrium.