Operator Delocalization in Quantum Networks
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by
Joonho Kim, Jeff Murugan, Jan Olle, Dario Rosa
2021
Abstract
We investigate the delocalization of operators in non-chaotic quantum systems
whose interactions are encoded in an underlying graph or network. In
particular, we study how fast operators of different sizes delocalize as the
network connectivity is varied. We argue that these delocalization properties
are well captured by Krylov complexity and show, numerically, that efficient
delocalization of large operators can only happen within sufficiently connected
network topologies. Finally, we demonstrate how this can be used to furnish a
deeper understanding of the quantum charging advantage of a class of SYK-like
quantum batteries.
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