Pfaffian-like ground states for bosonic atoms and molecules in one-dimensional optical lattices
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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.
Duric , T , Chancellor , N , Crowley , P J D , Di Cintio , P & Green , A G 2016 , ' Pfaffian-like ground states for bosonic atoms and molecules in one-dimensional optical lattices ' Physical Review. B, Condensed matter and materials physics , vol 93 , no. 8 , 085143 . DOI: 10.1103/PhysRevB.93.085143
Physical Review. B, Condensed matter and materials physics
© 2016 American Physical Society. This work is made available online in accordance with the publisher’s policies. This is the final published version of the work, which was originally published at http://dx.doi.org/10.1103/PhysRevB.93.085143
The authors acknowledge support from the EPSRC through Grant Nos. EP/K02163X/1 and EP/I004831/2 and TOPNES program Grant No. EP/I031014/1. N. Chancellor was funded by Lockheed Martin Corporation at the time this work was carried out. T. Đurić also acknowledges support from the EU Grant QUIC (H2020-FETPROACT-2014, Grant No. 641122).