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

Abstract

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.

10 pages, 10 figures. Matching the version published Phys.Rev.B

References in corpus (15)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Resonantly-paired fermionic superfluids
• Anyons and the quantum Hall effect - a pedagogical review
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Variational quantum Monte Carlo simulations with tensor-network states
• Composite Fermion Theory for Bosonic Atoms in Optical Lattices
• Pfaffian-like ground state for 3-body-hard-core bosons in 1D lattices
• Projected BCS states and spin Hamiltonians for the SO(n)_1 Wess-Zumino-Witten model
• Variational ground states of 2D antiferromagnets in the valence bond basis
• Elastic Multi-Body Interactions on a Lattice
• Interacting bosons in topological optical flux lattices
• Focus on topological quantum computation
• An integrable model with parafermion zero energy modes
• Low-energy Effective Theory for One-dimensional Lattice Bosons near Integer Filling

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