Permutation cycles of hardcore Bose-Hubbard models on square and Kagome lattices
arXiv:1912.00080 · doi:10.1103/PhysRevB.101.195103
Abstract
In this paper, we study the statistics of permutation cycles of ground-state hardcore lattice bosons described by various two-dimensional Bose-Hubbard-type models on both square and Kagome lattices. We find that it is possible to differentiate quantum phases by the statistics of permutations cycles. Indeed, features in the permutation cycles statistics can be used to uniquely identify certain insulating phases, and are consistent with local resonances of occupation numbers in the ground-state expansion of the phase. We also confirm that suitable quantities derived from the probability distribution of the length of permutation cycles can be used to detect superfluid to insulator phase transitions.
arXiv comment7 pages, 9 figures. The study of phase transitions and permutation cycles originally part of manuscript arXiv:1905.07454v1 (version 1) has been moved to this manuscript while the discussion of topological signatures of multipartite entanglement in the ground-state expansion has been further developed in version 2 of manuscript arXiv:1905.07454v2
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