Optical lattice quantum Hall effect

Fractional quantum Hall effect in optical lattices

We analyze a recently proposed method to create fractional quantum Hall FQH states of atoms confined in optical lattices A. Sørensen et al., Phys. Rev. Lett. 94, 086803 2005 . Extending the previous work, we investigate conditions under which the FQH effect can be achieved for bosons on a lattice with an effective magnetic field and finite on-site interaction. Furthermore, we characterize the g...

Prospect of quantum anomalous Hall and quantum spin Hall effect in doped kagome lattice Mott insulators

Electronic states with non-trivial topology host a number of novel phenomena with potential for revolutionizing information technology. The quantum anomalous Hall effect provides spin-polarized dissipation-free transport of electrons, while the quantum spin Hall effect in combination with superconductivity has been proposed as the basis for realizing decoherence-free quantum computing. We intro...

Simulation of the many-body dynamical quantum Hall effect in an optical lattice

Fractional quantum Hall effect of lattice bosons near commensurate flux.

We study interacting bosons on a lattice in a magnetic field. When the number of flux quanta per plaquette is close to a rational fraction, the low-energy physics is mapped to a multispecies continuum model: bosons in the lowest Landau level where each boson is given an internal degree of freedom, or pseudospin. We find that the interaction potential between the bosons involves terms that do no...

Bosonic integer quantum Hall effect in an interacting lattice model.

We study a bosonic model with correlated hopping on a honeycomb lattice, and show that its ground state is a bosonic integer quantum Hall (BIQH) phase, a prominent example of a symmetry-protected topological (SPT) phase. By using the infinite density matrix renormalization group method, we establish the existence of the BIQH phase by providing clear numerical evidence: (i) a quantized Hall cond...