Fibonacci anyon excitations of one-dimensional dipolar lattice bosons

Abstract

We study a system of dipolar bosons in a one-dimensional optical lattice using exact diagonalization and density matrix renormalization group methods. In particular, we analyze low energy properties of the system at an average filling of 3/2 atoms per lattice site. We identify the region of the parameter space where the system has non-Abelian Fibonacci anyon excitations that correspond to fractional domain walls between different charge-density-waves. When such one-dimensional systems are combined into a two-dimensional network, braiding of Fibonacci anyon excitations has potential application for fault tolerant, universal, topological quantum computation. Contrary to previous calculations, our results also demonstrate that super-solid phases are not present in the phase diagram for the discussed 3/2 average filling. Instead, decreasing the value of the nearest-neighbor tunneling strength leads to a direct, Berezinskii-Kosterlitz-Thouless, super-fluid to charge-density-wave quantum phase transition.

14 pages, 17 figures

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Cited by in corpus (11)

• Introduction to topological quantum computation with non-Abelian anyons
• Extended Bose-Hubbard Model with dipolar and contact interactions
• Staggered superfluid phases of dipolar bosons in two-dimensional square lattices
• Superfluid phases induced by the dipolar interactions
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Critical Entanglement for the Half-Filled Extended Hubbard Model
• Creating anyons from photons using a nonlinear resonator lattice subject to dynamic modulation
• Quantum phases of dipolar bosons in one-dimensional optical lattices
• Fidelity and entanglement entropy for infinite-order phase transitions
• Efficient neural-network based variational Monte Carlo scheme for direct optimization of excited energy states in frustrated quantum systems
• Topological Quantum Computation on Supersymmetric Spin Chains