Communications in Theoretical Physics

Unconventional Landau Levels of Ultracold Fermionic Atoms on Two-Dimensional Honeycomb Lattice

Jing-Min Hou

Published Aug 1, 2009• 1 citation

Abstract

We investigate the unconventional Landau levels of ultracold fermionic atoms on the two-dimensional honeycomb optical lattice subjected to an effective magnetic field, which is created with optical means. In the presence of the effective magnetic field, the energy spectrum of the unconventional Landau levels is calculated. Furthermore, we propose to detect the unconventional Landau levels with Bragg scattering techniques.

DOI: 10.1088/0253-6102/52/2/12

Related papers

Energy bands and Landau levels of ultracold fermions in the bilayer honeycomb optical lattice

Jing-Min Hou

We investigate the spectrum and eigenstates of ultracold fermionic atoms in the bilayer honeycomb optical lattice. In the low energy approximation the dispersion relation has parabolic form and the quasiparticles are chiral. In the presence of the effective magnetic field, which is created for the system with optical means, the energy spectrum shows an unconventional Landau level structure. Furthermore, the experimental detection of the spectrum is proposed with the Bragg scattering techniques.

arXiv:0905.3035Journal of Modern OpticsJun 10, 20095 citations

Unconventional Energy Bands and Chirality of Ultracold Atoms in Trilayer Honeycomb Lattice

Jing-Min Hou

We investigate ultracold fermionic atoms in the trilayer honeycomb lattice. In the low energy approximation, we derive an effective Hamiltonian for pseudospins. The energy spectrum shows a cubic form of the wavevector and is gapless. The quasiparticles and quasiholes are chiral and show Berry's phase π when the wavevector adiabatically evolves along a closed circle. Furthermore, the experimental detection of the energy spectrum is proposed with Bragg scattering techniques.

Communications in Theoretical PhysicsAug 1, 20092 citations

Light-induced fractal energy spectrum of ultracold fermions on the two-dimensional optical lattice with {\cal T}_3 symmetry

Jing-Min Hou

We investigate the energy spectrum of ultracold fermionic atoms on the two-dimensional optical lattice with symmetry, when an effective magnetic field, which can be realized with laser beams, is perpendicular to the systems. The energy spectrum featured by their fractal band structures is obtained by numerically solving the generalized Harper's equations. The feasibility of detecting the fractal energy spectrum is discussed.

Journal of Physics B Atomic Molecular and Optical PhysicsJul 22, 20090 citations

Realizing and Detecting the Quantum Hall Effect without Landau Levels by Using Ultracold Atoms

L. B. Shao, Shi-Liang Zhu, Li Sheng +2 more

We design an ingenious scheme to realize Haldane's quantum Hall model without Landau levels by using ultracold atoms trapped in an optical lattice. Three standing-wave laser beams are used to construct a wanted honeycomb lattice, where different on site energies in two sublattices required in the model can be implemented through tuning the phase of one laser beam. The staggered magnetic field is generated from the light-induced Berry phase. Moreover, we establish a relation between the Hall conductivity and the atomic density, enabling us to detect the Chern number with the typical density-profile-measurement technique.

arXiv:0804.1850Physical Review LettersDec 12, 2008140 citations

Cavity Optomechanics with Synthetic Landau Levels of Ultracold Fermi Gas

Bikash Padhi, Sankalpa Ghosh

Ultracold fermionic atoms placed in a synthetic magnetic field arrange themselves in Landau levels. We theoretically study the optomechanical interaction between the light field and collective excitations of such fermionic atoms in synthetic magnetic field by placing them inside a Fabry-Perot cavity. We derive the effective Hamiltonian for particle hole excitations from a filled Landau level using a bosonization technique and obtain an expression for the cavity transmission spectrum. Using this we show that the cavity transmission spectrum demonstrates cold atom analog of Shubnikov-de Haas oscillation in electronic condensed matter systems. We discuss the experimental consequences for this oscillation for such a system and the related optical bistability.

arXiv:1306.0872Physical Review LettersJul 26, 201320 citations

Fractional quantum Hall effect in optical lattices

Mohammad Hafezi, Anders Søndberg Sørensen, Eugene Demler +1 more

We analyze a recently proposed method to create fractional quantum Hall (FQH) states of atoms confined in optical lattices [A. S\o{}rensen 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.

arXiv:0706.0757Physical Review AAug 28, 2007277 citations