Journal
NEW JOURNAL OF PHYSICS
Volume 23, Issue 6, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1367-2630/abfe1e
Keywords
ultra-cold gases; superconductivity; functional renormalization group; Hubbard model; finite size
Categories
Funding
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [EXC 2004/1-390534769]
- Max Planck-New York City Center for Non-Equilibrium Quantum Phenomena
- RWTH Aachen University [rwth0514]
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The field of quantum simulations in ultra-cold atomic gases has been successful, but there is a lack of systematic study on trap potential and finite size effects. Lower temperatures are needed in experiments, and system size and trap potential shape play a crucial role in simulating emergent phases of matter.
The field of quantum simulations in ultra-cold atomic gases has been remarkably successful. In principle it allows for an exact treatment of a variety of highly relevant lattice models and their emergent phases of matter. But so far there is a lack in the theoretical literature concerning the systematic study of the effects of the trap potential as well as the finite size of the systems, as numerical studies of such non periodic, correlated fermionic lattices models are numerically demanding beyond one dimension. We use the recently introduced real-space truncated unity functional renormalization group to study these boundary and trap effects with a focus on their impact on the superconducting phase of the 2D Hubbard model. We find that in the experiments not only lower temperatures need to be reached compared to current capabilities, but also system size and trap potential shape play a crucial role to simulate emergent phases of matter.
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