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Modeling strongly correlated electron systems using cold atoms. Eugene Demler Physics Department Harvard University. Bose-Einstein condensation. Scattering length is much smaller than characteristic interparticle distances. Interactions are weak.
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Modeling strongly correlated electron systems using cold atoms Eugene Demler Physics Department Harvard University
Bose-Einstein condensation Scattering length is much smaller than characteristic interparticle distances. Interactions are weak
New Era in Cold Atoms Research Focus on Systems with Strong Interactions • Feshbach resonances • Optical lattices • Low dimensional systems
Strongly correlated electron systems in novel quantum materials Why are we interested in quantum systems with strong interactions? Transition metals and their oxides (including cuprates, manganites), actinides, lanthanides, heavy fermion compounds, organic materials, …
? Unusual properties of materials withstrong electron correlations High temperature superconductivity Quantum magnetism = + Electron fractionalization spin electron charge
Applications of quantum materials:Ferroelectric RAM + + + + + + + + V _ _ _ _ _ _ _ _ FeRAM in Smart Cards Non-Volatile Memory HighSpeed Processing
Analogue quantum computer. Simulation of one quantum system by another. R. Feynman (1982) U t t Modeling quantum systems Fermionic atoms in optical lattices Tc 93 K
Atoms in optical lattices Electrons in Solids Strongly correlated systems 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 …
Examples of questions that can be addressed in experiments with cold atoms
U t t - Can we understand high Tc cuprates using the fermionic Hubbard model? Antiferomagnetic order Do we have d-wave pairing?
Vortices in fermionic superfluids Vortices in ultracold fermionic atoms Vortices in high-Tc cuprates Experiments with fermionic superfluids of cold atoms will help us understand important basic properties of vortices
Pairing in systems with imbalanced spin population Pairing in polarized Fermi gas Possible FFLO phase in CeCoIn5
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)