University of Cambridge > > Theory of Condensed Matter > Interplay of disorder and interactions in 1d cold fermi gases

Interplay of disorder and interactions in 1d cold fermi gases

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Antonio Miguel Garcia-Garcia <amg73.

The wide controllability of the physical parameters in cold atoms have made it possible to experimentally investigate various concepts in quantum many-body physics. Identifying and understanding the many-body phases in the strongly correlated regime have been a challenge both for theorists and experimentalists. The real-time dynamics of such systems have been observed experimentally and is expected to provide better understanding of the phase structure. Even in one-dimensional systems where many powerful theoretical methods exist, the effect of interparticle interaction on the localization of bosonic atoms in disordered potential remains controversial. Here we study a related problem of the interacting spin-1/2 fermions in a lattice with the site energy modified by a quasiperiodic potential, which works as a disorder. The density-matrix renormalization group (DMRG) method allows numerically exact study of the ground state properties of one-dimensional lattice systems of interacting atoms. We find that a short-range attractive interaction induces localization [1]. By the time-dependent DMRG , we also study the real-time evolution of the system close to the “metal”-insulator transition after a trap potential is removed while the quasiperiodic potential is kept on. We analyze the critical exponents of the diffusion process and compare the results against the non-interacting cases and the mean-field predictions [2].

[1] M. Tezuka and A. M. Garcia-Garcia: Phys. Rev. A 82, 043613 (2010). [2] A. M. Garcia-Garcia and M. Tezuka: in preparation.

This talk is part of the Theory of Condensed Matter series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2024, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity