Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-10-29
Physics
Condensed Matter
Quantum Gases
4+ pages main text, 2 figures. 3 pages supplementary information, 2 figures. v2: added citation
Scientific paper
We calculate experimentally relevant properties of trapped fermionic alkaline earth atoms in an optical lattice, modeled by the $SU(N)$ Hubbard model. Our calculation is accurate when the temperature is much larger than the tunneling rate, similar to current regimes in ultracold atom experiments. In addition to exploring the Mott insulator-metal crossover, we calculate final temperatures achieved by the standard experimental protocol of adiabatically ramping from a non-interacting gas, as a function of initial gas temperature and final state lattice parameters. Of particular experimental interest, we find that increasing $N$ gives substantially \textit{colder} Mott insulators, up to more than a factor of five for relevant parameters. This cooling happens for all $N$, fixing the initial entropy, or for all $N \lsim 20$ (the exact value depends on dimensionality), fixing the initial temperature.
Gurarie Victor
Hazzard Kaden R. A.
Hermele Michael
Rey Ana Maria
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