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Deutsche Physikalische Gessellschaft IOP Institute of Physics

The Fermi–Hubbard model at unitarity

Focus on Cold Atoms in Optical Lattices

Evgeni Burovski1,5, Nikolay Prokof'ev1,2,3, Boris Svistunov1,2 and Matthias Troyer4

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Part of Focus on Cold Atoms in Optical Lattices

We simulate the dilute attractive Fermi–Hubbard model in the unitarity regime using a diagrammatic determinant Monte Carlo (MC) algorithm with worm-type updates. We obtain the dependence of the critical temperature on the filling factor ν and, by extrapolating to ν → 0, determine the universal critical temperature of the continuum unitary Fermi gas in units of Fermi energy: TcF = 0.152(7). We also determine the thermodynamic functions and show how the MC results can be used for accurate thermometry of a trapped unitary gas.


 
An erratum was added to this paper on 21 December 2006. Please see the PDF file.
PACS

03.75.Ss Degenerate Fermi gases

05.30.Fk Fermion systems and electron gas

02.60.Ed Interpolation; curve fitting

05.10.Ln Monte Carlo methods

03.75.Hh Static properties of condensates; thermodynamical, statistical and structural properties

Subjects

Quantum gases, liquids and solids

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 8 (August 2006)

Received 1 May 2006

Published 30 August 2006



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