1. Modeling strongly correlated electron systems using cold atoms Eugene Demler Physics Department Harvard University

2. Bose-Einstein condensation Scattering length is much smaller than characteristic interparticle distances. Interactions are weak

3. New Era in Cold Atoms Research Focus on Systems with Strong Interactions Optical lattices Feshbach resonances Low dimensional systems

4. Why are we interested in quantum systems with strong interactions? Strongly correlated electron systems in novel quantum materials Transition metals and their oxides (including cuprates, manganites), actinides, lanthanides, heavy fermion compounds, organic materials, …

5. Unusual properties of materials with strong electron correlations High temperature superconductivity Quantum magnetism Electron fractionalization ? =+ electroncharge spin

6. Applications of quantum materials: High Tc superconductors

7. Applications of quantum materials: Ferroelectric RAM Non-Volatile Memory High Speed Processing FeRAM in Smart Cards V + + + + _ _ _ _

8. Modeling in physics

9. Modeling quantum systems R. Feynman (1982) Analogue quantum computer. Simulation of one quantum system by another. Tc 93 K t U t Fermionic atoms in optical lattices

10. Strongly correlated systems Atoms in optical latticesElectrons in Solids Simple metals Perturbation theory in Coulomb interaction applies. Band structure methods wotk Strongly Correlated Electron Systems Band structure methods fail. Novel phenomena in strongly correlated electron systems: Quantum magnetism, phase separation, unconventional superconductivity, high temperature superconductivity, fractionalization of electrons …

11. Examples of questions that can be addressed in experiments with cold atoms

12. Can we understand high Tc cuprates using the fermionic Hubbard model? t U t Antiferomagnetic order Do we have d-wave pairing? -

13. Vortices in fermionic superfluids Experiments with fermionic superfluids of cold atoms will help us understand important basic properties of vortices Vortices in ultracold fermionic atoms Vortices in high-Tc cuprates

14. Pairing in systems with imbalanced spin population Possible FFLO phase in CeCoIn 5 Pairing in polarized Fermi gas

15. New Era in Cold Atoms Research Focus on Systems with Strong Interactions Goals Resolve long standing questions in condensed matter physics (e.g. origin of high temperature superconductivity) Resolve matter of principle questions (e.g. existence of FFLO phase) Study new phenomena in strongly correlated systems (e.g. coherent far from equilibrium dynamics)