Physics
Permutation cycles of hardcore Bose-Hubbard models on square and kagome lattices
Document Type
Article
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.
Publication Title
Physical Review B
Publication Date
5-15-2020
Volume
101
Issue
19
ISSN
2469-9950
DOI
10.1103/PhysRevB.101.195103
Keywords
ground state, probability distributions
Repository Citation
Shpani, L.; Lingua, F.; Wang, W.; and Capogrosso-Sansone, B., "Permutation cycles of hardcore Bose-Hubbard models on square and kagome lattices" (2020). Physics. 72.
https://commons.clarku.edu/faculty_physics/72
Cross Post Location
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