Computational and Theoretical Investigations of Strongly Correlated Fermions in Optical Lattices
Abstract
This proposal brings together unique expertise in Quantum Monte Carlo and analytical techniques to address problems that are at the cutting edge of research in strongly correlated atomic fermions in optical lattices. (1) For fermions with attractive interactions, the possibility of a pseudogap phase, that shows signatures of pairing but no long range phase coherence, in an unequal population of up and down fermions is investigated. (2) For fermions with repulsive interactions, the evidence for a d-wave superfluid ground state is analysed, especially its competition with spin liquid and antiferromagnetic phases. Progress on both of these questions will impact not only the fields of cold atoms and condensed matter of strongly correlated systems, but also complex transition metal oxides. Issues related to thermometry, inhomogeneous trap potentials and effects of thermal and quantum phase fluctuations, that are central for an accurate interpretation of experiments, are investigated. A combination of variational, Green function and determinantal quantum Monte Carlo simulations, Bogoliubov deGennes theory, and functional integral methods will be implemented to address the variety of issues highlighted above. The detailed comparisons between simulations, theory and experiments is crucial for validation of the results. These methods are essential to calculate properties in regimes where standard paradigms break down and the phenomena are non-perturbative. The proposed research program is strongly motivated by current experiments and has the potential to guide future ones. Ultimately, the goal is to establish new paradigms for strongly correlated fermion systems.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 29, 2013
- Accession Number
- ADA597479
Entities
People
- Mohit Randeria
- Nandini Trivedi
Organizations
- Ohio State University