Particle-hole bound states of dipolar molecules in optical lattice

Details Particle-hole bound states of dipolar molecules in optical lattice Particle-hole bound states of dipolar molecules in optical lattice

2011-12-14

arxiv.org/abs/1112.3137v2

Physics

Condensed Matter

Quantum Gases

8 pages, 8 figures

Scientific paper

We investigate bound states of particle-hole excitations of dipolar molecules in optical lattice, which result from the dipole-dipole interactions between dipole molecules. In one dimension, two degenerate bound states exist in the whole range of the total momentum K of the particle-hole pair when dipole-dipole interaction $V$ is larger than a critical value $V_{1D,cr2}=3t$, where t is the hoping. With decreasing $V$, the energy of the bound state increases and merges into the particle-hole continuous spectrum gradually. In two dimension, four bound states, with $s$-, $p_{x(y)}$-, and $d_{x^2-y^2}$ symmetry respectively, are found along the lines of $K_x=\pm K_y$ when $V>V_{2D,cr2}=11.0t$. Away from the line of $K_x=\pm K_y$, the degeneracy of $p_x$ and $p_y$ waves is lifted. For a given $V$, the number of bound states may be different for different points of $\vec{K}$ and a distribution of bound state number is given. We also discuss potential observation of the bound states in two photon Bragg spectroscopic experiments.

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