Probing quantum information propagation with out-of-time-ordered correlators
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2102.11751.pdf
Description
Submitted version
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3.66 MB
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Author(s)
Braumüller, Jochen
Karamlou, Amir H
Yanay, Yariv
Kannan, Bharath
Kim, David
Kjaergaard, Morten
Melville, Alexander
Niedzielski, Bethany M
Sung, Youngkyu
Vepsäläinen, Antti
Date Issued
2022
Journal
Nature Physics
Publisher
Springer Science and Business Media LLC
Citation
Braumüller, Jochen, Karamlou, Amir H, Yanay, Yariv, Kannan, Bharath, Kim, David et al. 2022. "Probing quantum information propagation with out-of-time-ordered correlators." Nature Physics, 18 (2).
Version
Original manuscript
Abstract
Interacting many-body quantum systems show a rich array of physical phenomena
and dynamical properties, but are notoriously difficult to study: they are
challenging analytically and exponentially difficult to simulate on classical
computers. Small-scale quantum information processors hold the promise to
efficiently emulate these systems, but characterizing their dynamics is
experimentally challenging, requiring probes beyond simple correlation
functions and multi-body tomographic methods. Here, we demonstrate the
measurement of out-of-time-ordered correlators (OTOCs), one of the most
effective tools for studying quantum system evolution and processes like
quantum thermalization. We implement a 3x3 two-dimensional hard-core
Bose-Hubbard lattice with a superconducting circuit, study its
time-reversibility by performing a Loschmidt echo, and measure OTOCs that
enable us to observe the propagation of quantum information. A central
requirement for our experiments is the ability to coherently reverse time
evolution, which we achieve with a digital-analog simulation scheme. In the
presence of frequency disorder, we observe that localization can partially be
overcome with more particles present, a possible signature of many-body
localization in two dimensions.
MIT Department
Massachusetts Institute of Technology. Research Laboratory of Electronics
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Lincoln Laboratory
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1038/S41567-021-01430-W
