Jeudi 04 octobre 2012 à 10h15
Salle 234, Ecole de Physique

Interacting fermionic atoms on a bichromatic lattice

Masaki Tezuka, Kyoto University, Japan

We investigate the physics of one-dimensional (1D) Fermi gases with short-range interactions in a quasiperiodic potential, motivated by the experimental realization of such a potential in bichromatic optical lattices. We determine the ground state phase diagram including delocalized and localized regions [1] and study the real-time dynamics using the time-dependent density-matrix renormalization group method. The transition is not universal because the diffusion process depends qualitatively on the interaction strength. We compare the numerically obtained exponents of the time evolution and the localization length with our prediction from scaling ideas [2]. I will also briefly comment on the multiple topological superconducting states realized when the one-dimensional Fermi gas with lattice modulation is placed in proximity to a Fermi superfluid [3]. [1] M. Tezuka and A. M. Garcia-Garcia, Phys. Rev. A 82, 043613 (2010) [2] M. Tezuka and A. M. Garcia-Garcia, Phys. Rev. A 85, 031602(R) (2012) [3] M. Tezuka and N. Kawakami, Phys. Rev. B 85, 140508(R) (2012)