01232nas a2200169   4500000000100000008004100001260000700042100002200049700001600071700002300087700002200110245007800132856003800210490000700248520079300255022001401048       2024                            d  c041 aDevjyoti Tripathy1 aAkram Touil1 aBartłomiej Gardas1 aSebastian Deffner00aQuantum information scrambling in two-dimensional Bose–Hubbard lattices  uhttps://doi.org/10.1063/5.01993350 v343 a<p>It is a well-understood fact that the transport of excitations throughout a lattice is intimately governed by the underlying structures. Hence, it is only natural to recognize that the dispersion of information also has to depend on the lattice geometry. In the present work, we demonstrate that two-dimensional lattices described by the Bose–Hubbard model exhibit information scrambling for systems as little as two hexagons. However, we also find that the out-of-time-ordered correlator (OTOC) shows the exponential decay characteristic for quantum chaos only for a judicious choice of local observables. More generally, the OTOC is better described by Gaussian-exponential convolutions, which alludes to the close similarity of information scrambling and decoherence theory.</p>
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