Pfaffian-like ground states for bosonic atoms and molecules in one-dimensional optical lattices

Tanja Duric*, Nicholas Chancellor, Philip J. D. Crowley, Pierfrancesco Di Cintio, Andrew G. Green

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


We study ground states and elementary excitations of a system of bosonic atoms and diatomic Feshbach molecules trapped in a one-dimensional optical lattice using exact diagonalization and variational Monte Carlo methods. We primarily study the case of an average filling of one boson per site. In agreement with bosonization theory, we show that the ground state of the system in the thermodynamic limit corresponds to the Pfaffian-like state when the system is tuned towards the superfluid-to-Mott insulator quantum phase transition. Our study clarifies the possibility of the creation of exotic Pfaffian-like states in realistic one-dimensional systems. We also present preliminary evidence that such states support non-Abelian anyonic excitations that have potential application for fault-tolerant topological quantum computation.

Original languageEnglish
Article number085143
Number of pages11
JournalPhysical Review. B, Condensed matter and materials physics
Issue number8
Publication statusPublished - 29 Feb 2016


  • Quantum hall states
  • Non-Abelian statistics
  • Computation
  • Anyons
  • Networks


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