Thermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical lattices

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.023606· OSTI ID:21537196

De Leo, Lorenzo; Bernier, Jean-Sebastien ^[1]; Kollath, Corinna ^[1]; Georges, Antoine ^[1]; Scarola, Vito W ^[2]

---

1. Centre de Physique Theorique, Ecole Polytechnique, CNRS, 91128 Palaiseau (France)
2. Department of Physics, Virginia Tech, Blacksburg, Virginia 24061 (United States)

We present a comprehensive study of the thermodynamic properties of the three-dimensional fermionic Hubbard model, with application to cold fermionic atoms subject to an optical lattice and a trapping potential. Our study is focused on the temperature range of current experimental interest. We employ two theoretical methods - dynamical mean-field theory and high-temperature series - and perform comparative benchmarks to delimit their respective range of validity. Special attention is devoted to understand the implications that thermodynamic properties of this system have on cooling. Considering the distribution function of local occupancies in the inhomogeneous lattice, we show that, under adiabatic evolution, the variation of any observable (e.g., temperature) can be conveniently disentangled into two distinct contributions. The first contribution is due to the redistribution of atoms in the trap during the evolution, while the second one comes from the intrinsic change of the observable. Finally, we provide a simplified picture of a recently proposed cooling procedure, based on spatial entropy separation, by applying this method to an idealized model.

• OSTI ID: 21537196
• Journal Information: Physical Review. A, Vol. 83, Issue 2; Other Information: DOI: 10.1103/PhysRevA.83.023606; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BENCHMARKS
COOLING
DISTRIBUTION FUNCTIONS
ENTROPY
FERMIONS
GASES
HUBBARD MODEL
MEAN-FIELD THEORY
POTENTIALS
TEMPERATURE RANGE 0400-1000 K
THERMODYNAMICS
THREE-DIMENSIONAL CALCULATIONS
TRAPPING
VARIATIONS
CRYSTAL MODELS
FLUIDS
FUNCTIONS
MATHEMATICAL MODELS
PHYSICAL PROPERTIES
TEMPERATURE RANGE
THERMODYNAMIC PROPERTIES