Quantum Information Scrambling in Quantum Many-body Scarred Systems
- URL: http://arxiv.org/abs/2201.01777v3
- Date: Wed, 11 May 2022 12:10:59 GMT
- Title: Quantum Information Scrambling in Quantum Many-body Scarred Systems
- Authors: Dong Yuan, Shun-Yao Zhang, Yu Wang, L.-M. Duan, Dong-Ling Deng
- Abstract summary: We study the quantum information scrambling dynamics in quantum many-body scarred systems.
We find that both the OTOC and Holevo information exhibit a linear light cone and periodic oscillations inside the light cone for initial states within the scarred subspace.
- Score: 10.413943995320887
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum many-body scarred systems host special non-thermal eigenstates that
support periodic revival dynamics and weakly break the ergodicity. Here, we
study the quantum information scrambling dynamics in quantum many-body scarred
systems, with a focus on the "PXP" model. We use the out-of-time-ordered
correlator (OTOC) and Holevo information as measures of the information
scrambling, and apply an efficient numerical method based on matrix product
operators to compute them up to 41 spins. We find that both the OTOC and Holevo
information exhibit a linear light cone and periodic oscillations inside the
light cone for initial states within the scarred subspace, which is in sharp
contrast to thermal or many-body localized systems. The periodic revivals of
OTOCs and Holevo information signify unusual breakdown of quantum chaos and are
not equivalent to the revival dynamics of state fidelity or local observables
studied in the previous literature. To explain the formation of the linear
light cone structure, we provide a perturbation-type calculation based on a
phenomenological model. In addition, we demonstrate that the OTOC and Holevo
information dynamics of the "PXP" model can be measured using the Rydberg-atom
quantum simulators with current experimental technologies, and numerically
identify the measurable signatures using experimental parameters.
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