Schedule Apr 26, 2007
Adiabatic Quantum Simulation Using Ultracold Fermionic Atoms: d-wave RVB States and the Phase Diagram of the Fermionic Hubbard Model
Matthias Troyer (ETH-Zurich)

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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