Quantum Simulations of Many-Body Systems with Ultra-Cold Atoms
Final performance rept. 15 Apr 2006-30 Nov 2008
HARVARD UNIV CAMBRIDGE MA DEPT OF PHYSICS
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The present project addressed theoretical issues that are crucial for the experimental simulations of strongly correlated electron systems using cold atoms samples. The work focused on the two main avenues 1 Preparation of strongly correlated quantum phases, such as anti-ferromagnetic insulating or d-wave paired states of fermions in optical lattices. Approaches studied included the dynamic changes of systems parameters, cooling, or their combinations. The emphasis was on developing procedures that utilized realistic resources to reach relevant phases with high accuracy for experimentally available system parameters such as temperature, interaction strength, and lifetimes of condensates. Systematic figures of merits for the successful preparation of desired quantum phases were developed as a part of this effort. 2 Detection of many body phases. Experimental tools commonly used in condensed matter systems, such as transport measurements, or scattering experiments are not available for cold atoms. Hence, we developed new approaches for analyzing correlated many body phases that rely on detection tools appropriate for atomic samples, such as interference or imaging after free expansion in time of flight experiments. Key approaches included the analysis of quantum noise intrinsic to any measurement in cold atoms samples and the dynamical response of strongly correlated systems. Our emphasis was on two specific areas exotic superconductivity and quantum magnetic systems. The work paved the way for experimental quantum simulations of these systems.
- Atomic and Molecular Physics and Spectroscopy