Session R43: One Dimensional Bose Gases

2:30 PM–4:18 PM, Wednesday, March 15, 2006
Baltimore Convention Center Room: 346

Sponsoring Unit: DAMOP
Chair: A.B. Kuklov, The College of Staten Island, CUNY

Abstract ID: BAPS.2006.MAR.R43.6

Abstract: R43.00006 : Quantum coherence of Hard Core Bosons and Fermions in one dimensional quasi-periodic potentials: superfluid, Mott and glassy phases

3:30 PM–3:42 PM

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  Ana Maria Rey
    (ITAMP, Harvard-Smithsonian Center of Astrophysics, Cambridge, MA, 02138.)

  Indubala I Satija
    (Dept. of Physics, George Mason University, Fairfax, VA, 22030)

  Charles W Clark
    (NIST, Gaithersburg MD, 20899)

We use Hanbury- Brown-Twiss interferometry (HBTI) to characterize and contrast the different quantum phases exhibited by hard core bosons (HCBs) and ideal fermions confined in a one-dimensional quasi-periodic potential. In addition to the Bose-glass, superfluid and Mott insulator phases characteristic of interacting disordered bosons, we show the quasi-periodic potential induces a cascade of Mott-like band insulator transitions triggered by the fermion-type statistics of HCBs~. A comparative study of the fermion model shows that except for a sign difference, HCB and fermion interferometric patterns~coincide~in the localized phases. In the extended phase,~~however, fermions~behave quite differently~; ~their correlation functions reflect some of the multi-fractal properties characteristic of the metal-insulator transition. When plotted as a function of the filling factor, their quasi-momentum distribution displays an Arnold tongue-like structure and the HBTI peak intensity follows a step-like pattern which resembles a devil's staircase at the onset of the localization transition.

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