We propose a controlled route to obtaining the ground state properties of
the two-dimensional fermionic Hubbard model in an adiabatic quantum
simulation using ultracold fermionic atoms. We present a route for the
controlled generation and measurement of superfluid d-wave resonating
valence bond (RVB) states of fermionic atoms in 2D optical
lattices. Starting from loading spatial and spin patterns of atoms in
optical superlattices as pure quantum states from a Fermi gas, we
adiabatically transform this state to an RVB state by a change of the
lattice parameters. Results of exact time-dependent numerical studies for
ladders systems are presented, suggesting generation of RVB states on a
time scale smaller than typical experimental decoherence times.
Reference: S. Trebst, U. Schollwock, M. Troyer, and P. Zoller, Phys. Rev. Lett. 96, 250402 (2006).
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