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SUMMARY:Interplay of disorder and interactions in 1d cold fermi gases - Pr
 of. Masaki Tezuka\, Kyoto University
DTSTART:20110909T143000Z
DTEND:20110909T153000Z
UID:TALK32602@talks.cam.ac.uk
CONTACT:24475
DESCRIPTION:The wide controllability of the physical parameters in cold at
 oms have\nmade it possible to experimentally investigate various concepts 
 in\nquantum many-body physics. Identifying and understanding the many-body
 \nphases in the strongly correlated regime have been a challenge both\nfor
  theorists and experimentalists. The real-time dynamics of such\nsystems h
 ave been observed experimentally and is expected to provide\nbetter unders
 tanding of the phase structure.\nEven in one-dimensional systems where man
 y powerful theoretical\nmethods exist\, the effect of interparticle intera
 ction on the\nlocalization of bosonic atoms in disordered potential remain
 s\ncontroversial. Here we study a related problem of the interacting\nspin
 -1/2 fermions in a lattice with the site energy modified by a\nquasiperiod
 ic potential\, which works as a disorder. The density-matrix\nrenormalizat
 ion group (DMRG) method allows numerically exact study of\nthe ground stat
 e properties of one-dimensional lattice systems of\ninteracting atoms. We 
 find that a short-range attractive interaction\ninduces localization [1]. 
 By the time-dependent DMRG\, we also study\nthe real-time evolution of the
  system close to the "metal"-insulator\ntransition after a trap potential 
 is removed while the quasiperiodic\npotential is kept on. We analyze the c
 ritical exponents of the\ndiffusion process and compare the results agains
 t the non-interacting\ncases and the mean-field predictions [2].\n\n[1] M.
  Tezuka and A. M. Garcia-Garcia: Phys. Rev. A\n82\, 043613 (2010).\n[2] A.
  M. Garcia-Garcia and M. Tezuka: in preparation.
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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