RESEARCH TOPIC

### Frustrated spin systems

#### Group Association:

#### Description of Activities:

Ultracold gases in optical lattices are versatile tools to simulate strongly-correlated systems. Among these, particularly important are frustrated antiferromagnets, because of their relevance to high-temperature superconductivity and the fundamental understanding of matter. We study the properties of such models and propose how to realize them experimentally. The low-temperature physics of these systems shows a very rich interplay between semiclassically-ordered and exotic disordered phases, such as valence-bond solids or spin liquids, which may harbor fractional excitations with possible applications in quantum information processing.

#### People in this Project:

#### Publications associated to this project

- Orbital order of spinless fermions near an optical Feshbach resonance
Phys. Rev. A
**84**, 051603(R) (2011) - Modified spin-wave theory with ordering vector optimization: spatially anisotropic triangular lattice and J1J2J3 model with Heisenberg interactions
New J. Phys.
**13**, 075017 (2011) - Quantum simulation of frustrated classical magnetism in triangular optical lattices
Science
**333**, 996-999 (2011) - Optical lattices: Orbital dance
Nature Phys.
**7**, 101–103 (2011) - Modified spin-wave theory with ordering vector optimization: frustrated bosons on the spatially anisotropic triangular lattice
New J. Phys.
**12**, 053036 (2010) - Frustrated quantum antiferromagnetism with ultracold bosons in a triangular lattice
Europhys. Lett.
**89**, 10010 (2010) - Bose-Hubbard phase diagram with arbitrary integer filling
Phys. Rev. B
**79**, 100503(R) (2009) - Frustration, area law, and interference in quantum spin models
Phys. Rev. Lett.
**101**, 187202 (2008) - Atomic and molecular physics: polar molecules in topological order
Nature Physics
**2**, 289-354 (2006) - Quantum gases in trimerized kagomé lattices
Phys. Rev. A
**72**, 053612 (2005) - Atomic fermi gas in the trimerized kagomé lattice at 2/3 filling
Phys. Rev. Lett.
**95**, 060403 (2005) - Atomic quantum gases in Kagomé lattices
Phys. Rev. Lett.
**93**, 030601 (2004)