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We consider an atomic Fermi gas confined in a uniform optical lattice potential, where the atoms can pair into molecules via a magnetic field controlled narrow Feshbach resonance. The phase diagram of the resulting atom-molecule mixture in…

Other Condensed Matter · Physics 2009-07-20 O. Soe Sorensen , N. Nygaard , P. B. Blakie

We determine the adiabatic phase diagrams for a resonantly-coupled system of Fermi atoms and Bose molecules confined in a harmonic trap by using the local density approximation. The key idea of our work is conservation of entropy through…

Other Condensed Matter · Physics 2009-09-12 S. Watabe , T. Nikuni , N. Nygaard , J. E. Williams , C. W. Clark

We determine the adiabatic phase diagram of a resonantly-coupled system of Fermi atoms and Bose molecules confined in the harmonic trap by using the local density approximation. The adiabatic phase diagram shows the fermionic condensate…

Other Condensed Matter · Physics 2009-11-11 S. Watabe , T. Nikuni , N. Nygaard , J. E. Williams , C. W. Clark

The entropy and kinetic, potential, and interaction energies of an atomic Fermi gas in a trap are studied under the assumption of thermal equilibrium for finite temperature. A Feshbach resonance can cause the fermions to pair into diatomic…

Statistical Mechanics · Physics 2009-11-10 L. D. Carr , R. Chiaramonte , M. J. Holland

We have studied interacting and non-interacting quantum degenerate Fermi gases in a three-dimensional optical lattice. We directly image the Fermi surface of the atoms in the lattice by turning off the optical lattice adiabatically. Due to…

Superconductivity · Physics 2009-11-10 Michael Köhl , Henning Moritz , Thilo Stöferle , Kenneth Günter , Tilman Esslinger

The entropy-temperature curves are calculated for non-interacting fermions in a 3D optical lattice. These curves facilitate understanding of how adiabatic changes in the lattice depth affect the temperature, and we demonstrate regimes where…

Other Condensed Matter · Physics 2007-05-23 P. B. Blakie , A. Bezett

Low temperatures are necessary for the observation of strongly correlated quantum phases of fermionic atoms in optical lattices. We analyze how the temperature of a Fermi gas is altered when the fermions are loaded into an optical lattice…

Strongly Correlated Electrons · Physics 2007-05-23 Michael Köhl

We suggest and analyze a new scheme to adiabatically cool bosonic atoms to picokelvin temperatures which should allow the observation of magnetic ordering via superexchange in optical lattices. The starting point is a gapped phase called…

We report on the realization of a strongly interacting quantum degenerate gas of fermionic atoms in a three-dimensional optical lattice. We prepare a band-insulating state for a two-component Fermi gas with one atom per spin state per…

Other Condensed Matter · Physics 2007-05-23 Michael Köhl , Kenneth Günter , Thilo Stöferle , Henning Moritz , Tilman Esslinger

We study the properties of ultracold Fermi gases in a three-dimensional optical lattice when crossing a Feshbach resonance. By using a zero-temperature formalism, we show that three-body processes are enhanced in a lattice system in…

Other Condensed Matter · Physics 2007-05-23 Helmut G. Katzgraber , Aniello Esposito , Matthias Troyer

Spectroscopic studies of few-body systems at ultracold temperatures provide valuable information that often cannot be extracted in a hot environment. Considering a pair of atoms, we propose a cooling mechanism that makes use of a scattering…

Atomic Physics · Physics 2009-11-07 J. W. Dunn , D. Blume , Bogdan Borca , B. E. Granger , Chris H. Greene

The entropy-temperature curves are calculated for non-interacting Bose and Fermi gases in a 3D optical lattice. These curves facilitate understanding of how adiabatic changes in the lattice depth affect the temperature, and we demonstrate…

Statistical Mechanics · Physics 2009-11-11 P. B. Blakie , A. -M. Rey , A. Bezett

We present the theory for ultracold atomic gases in an optical lattice near a Feshbach resonance. In the single-band approximation the theory describes atoms and molecules which can both tunnel through the lattice. Moreover, an avoided…

Statistical Mechanics · Physics 2014-10-13 D. B. M. Dickerscheid , U. Al Khawaja , D. van Oosten , H. T. C. Stoof

We have converted an ultracold Fermi gas of $^6$Li atoms into an ultracold gas of $^6$Li$_2$ molecules by adiabatic passage through a Feshbach resonance. Approximately $1.5 \times 10^5$ molecules in the least-bound, $v = 38$, vibrational…

Condensed Matter · Physics 2009-11-10 Kevin E. Strecker , Guthrie B. Partridge , Randall G. Hulet

When atoms are loaded into an optical lattice, the process of gradually turning on the lattice is almost adiabatic. In this paper we investigate how the temperature changes when going from the gapless superfluid phase to the gapped Mott…

Statistical Mechanics · Physics 2010-09-10 Lode Pollet , Corinna Kollath , Kris Van Houcke , Matthias Troyer

We consider an ideal gas of Bose and Fermi atoms in a harmonic trap, with a Feshbach resonance in the interspecies atomic scattering that can lead to formation of fermionic molecules. We map out the phase diagram for this three-component…

Statistical Mechanics · Physics 2007-05-23 M. A. Morales , N. Nygaard , J. E. Williams , Charles W. Clark

Quantum simulations of Fermi-Hubbard models have been attracting considerable efforts in the optical lattice research, with the ultracold anti-ferromagnetic atomic phase reached at half filling in recent years. An unresolved issue is to…

Quantum Gases · Physics 2019-12-11 Jian Lin , Jue Nan , Yuchen Luo , Xing-Can Yao , Xiaopeng Li

The entropy-temperature curves are calculated for non-interacting bosons in a 3D optical lattice and a 2D lattice with transverse harmonic confinement for ranges of depths and filling factors relevant to current experiments. We demonstrate…

Soft Condensed Matter · Physics 2009-11-10 P. B. Blakie , J. V. Porto

Mixtures of bosonic and fermionic atoms in optical lattices provide a promising arena to study strongly correlated systems. In experiments realizing such mixtures in the quantum degenerate regime the temperature is a key parameter. In this…

Statistical Mechanics · Physics 2008-05-16 M. Cramer , S. Ospelkaus , C. Ospelkaus , K. Bongs , K. Sengstock , J. Eisert

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…

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