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Topological Quantum Computing
Open Quantum Systems Decoherence
Quantum Simulation
Permutation cycles of hardcore Bose-Hubbard models on square and Kagome lattices
arXiv
Authors: Liana Shpani, Fabio Lingua, Wei Wang, Barbara Capogrosso-Sansone
Year
2019
Paper ID
14518
Status
Preprint
Abstract Read
~2 min
Abstract Words
102
Citations
N/A
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.
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- 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...
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