Fractional quantum Hall effect in optical lattices
By M. Hafezi, Anders Søndberg Sørensen, E. Demler, Mikhail D. Lukin. 2006
187 citations recorded by the source corpus.
We analyze a recently proposed method to create fractional quantum Hall (FQH) states of atoms confined in optical lattices [A. Soerensen 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 ground state in such systems by calculating Chern numbers which can provide direct signatures of topological order and explore regimes where the characterization in terms of wave-function overlap fails. We also discuss various issues which are relevant for the practical realization of such FQH states with ultracold atoms in an optical lattice, including the presence of a long-range dipole interaction which can improve the energy gap and stabilize the ground state. We also investigate a detection technique based on Bragg spectroscopy to probe these systems in an experimental realization.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/b7f63193dbd39f2424033d6e35e51ae68b0990ae
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In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Topological bands for ultracold atoms (2018, unknown): “2π/3, for which the lowest band is similar to the continuum Landau level, and where similar FQH states appear for bosons (Hafezi et al., 2007; Möller and Cooper, 2009; Palmer and Jaksch, 2006; Sørensen et al., 2005).”
- Gauge fields for ultracold atoms in optical superlattices (2009, background): “For a filling factor with ∼ 1 atom per site, the quantum Hall regime then becomes reachable in presence of moderate atomic interactions [11, 19, 20, 21, 22].”
- Rapidly rotating atomic gases (2008, methodology): “The imposition of a rotating optical lattice[25, 26], or the use of “artificial gauge fields”[27, 28, 29], allows studies of the interplay of vortex lattices with external lattice potentials.”