Luttinger liquid in superlattice structures: atomic gases, quantum dots and the classical Ising chain
arXiv:1005.3206 · doi:10.1088/0031-8949/83/01/015016
Abstract
We study physical properties of a Luttinger liquid in a superlattice which is characterized by alternating two tunneling parameters. Employing the Bosonization approach, we describe the corresponding Hubbard model by the equivalent Tomonoga-Luttinger model. We analyze the spin-charge separation and transport property as the difference between the two tunneling parameter increases. We suggest that cold Fermi gases trapped in a bichromatic optical lattice and coupled quantum dots offer the opportunity to measure these effects in a convenient manner. We also study the classical Ising chain with two tunneling parameters. We found that the classical two-point correlator decreases as the difference between the two tunneling parameter increases.
7 figures
References in corpus (14)
- A lattice of double wells for manipulating pairs of cold atoms
- Coherent electronic transfer in quantum dot systems using adiabatic passage
- Bloch-Zener oscillations
- Bose-Einstein Condensates in Optical Quasicrystal Lattices
- Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices
- Spin Drag and Spin-Charge Separation in Cold Fermi Gases
- Manipulation of matter waves using Bloch and Bloch-Zener oscillations
- Fractional-filling loophole insulator domains for ultracold bosons in optical superlattices
- Dispersion control for matter waves and gap solitons in optical superlattices
- Coherent population transfer in a chain of tunnel coupled quantum dots
- Cell strong coupling perturbative approach to the phase diagram of ultracold bosons in optical superlattices
- Oscillations of Bose condensates in a one-dimensional optical superlattice
- Superfluid Dynamics of a Bose-Einstein Condensate in a One Dimensional Optical Super-Lattice
- Transport behaviour of a Bose Einstein condensate in a bichromatic optical lattice