M Ortner et al 2009 New J. Phys. 11 055045 doi:10.1088/1367-2630/11/5/055045
Quantum simulations of extended Hubbard models with dipolar crystals
Focus on Cold and Ultracold MoleculesM Ortner1,2,3, A Micheli1,2, G Pupillo1,2 and P Zoller1,2
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In this paper, we study the realization of lattice models in mixtures of atomic and dipolar molecular quantum gases. We consider a situation where polar molecules form a self-assembled dipolar lattice, in which atoms or molecules of a second species can move and scatter. We describe the system dynamics in a master equation approach in the Brownian motion limit of slow particles and fast phonons, which we find appropriate for our system. In a wide regime of parameters, the reduced dynamics of the particles leads to physical realizations of extended Hubbard models with tuneable long-range interactions mediated by crystal phonons. This extends the notion of quantum simulation of strongly correlated systems with cold atoms and molecules to include phonon dynamics, where all coupling parameters can be controlled by external fields.
- PACS
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71.10.Fd Lattice fermion models (Hubbard model, etc.)
- Subjects
- Dates
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Issue 5 (May 2009)
Received 11 February 2009
Published 14 May 2009
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Quantum simulations of extended Hubbard models with dipolar crystals
M Ortner et al 2009 New J. Phys. 11 055045
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