Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-09-15
Phys. Rev. A 84, 053621 (2011)
Physics
Condensed Matter
Quantum Gases
10 pages, 9 figures; minor revisions
Scientific paper
10.1103/PhysRevA.84.053621
We propose a realization of the one-dimensional random dimer model and certain N-leg generalizations using cold atoms in an optical lattice. We show that these models exhibit multiple delocalization energies that depend strongly on the symmetry properties of the corresponding Hamiltonian and we provide analytical and numerical results for the localization length as a function of energy. We demonstrate that the N-leg systems possess similarities with their 1D ancestors but are demonstrably distinct. The existence of critical delocalization energies leads to dips in the momentum distribution which serve as a clear signal of the localization-delocalization transition. These momentum distributions are different for models with different group symmetries and are identical for those with the same symmetry.
Kestner J. P.
Sarma Sankar Das
Sedrakyan Tigran A.
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