Browsing by Author "Karim Pour, Farshid"

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    Quantum Monte Carlo studies of fermions with attractive interactions in optical traps
    (2008) Karim Pour, Farshid; Muramatsu, Alejandro (Prof. Dr.)
    About 50 years ago, Penrose and Onsager posed the question: Can a solid be superfluid? Supersolids are defined by the simultaneous presence of two types of long-range order: superfluidity' coexisting with a periodic modulation of the density', in other words, supersolids combine the main characteristics of solids and superfluids. Using quantum Monte Carlo simulations, we show here that density-density and pairing correlation functions of the one-dimensional attractive fermionic Hubbard model in a confinement potential are characterized by the anomalous dimension (Luttinger parameter) of a corresponding periodic system. This allows to determine conditions for a supersolid state inside a trap. We show explicitely, that under such conditions the structure form factors for both correlation functions scale with the same exponent upon increasing the system size, thus giving rise to a (quasi-)supersolid.