Optical lattice implementation scheme of a bosonic topological model with fermionic atoms

Abstract

We present a scheme to implement a Fermi-Hubbard-like model in ultracold atoms in optical lattices and analyze the topological features of its ground state. In particular, we show that the ground state for appropriate parameters has a large overlap with a lattice version of the bosonic Laughlin state at filling factor one half. The scheme utilizes laser assisted and normal tunnelling in a checkerboard optical lattice. The requirements on temperature, interactions, and hopping strengths are similar to those needed to observe the Néel antiferromagnetic ordering in the standard Fermi-Hubbard model in the Mott insulating regime.

18 pages, 10 figures. This article provides the full analysis of a scheme proposed in Nat. Commun. 4, 2864 (2013). v2: accepted version

References in corpus (16)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• High temperature fractional quantum Hall states
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Single-Spin Addressing in an Atomic Mott Insulator
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Fractional quantum Hall effect in the absence of Landau levels
• Topological Flat Band Models and Fractional Chern Insulators
• Fractional Quantum Hall Effect in Optical Lattices
• Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
• Lattice Laughlin States of Bosons and Fermions at Filling Fractions $1/q$
• Projected BCS states and spin Hamiltonians for the SO(n)_1 Wess-Zumino-Witten model
• Topological Phenomena in Trapped Ion Systems

Cited by in corpus (8)

• Non-Abelian chiral spin liquid in a quantum antiferromagnet revealed by an iPEPS study
• Investigation of the chiral antiferromagnetic Heisenberg model using PEPS
• Quantum spin models for the SU(n)_1 Wess-Zumino-Witten model
• Exact parent Hamiltonians of bosonic and fermionic Moore-Read states on lattices and local models
• Anyon braiding in semi-analytical fractional quantum Hall lattice models
• Creating and manipulating non-Abelian anyons in cold atom systems using auxiliary bosons
• Wave Functions for Fractional Chern Insulators on Disk Geometry
• Anomalous fractional quantum Hall effect and multi-valued Hamiltonians