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We theoretically investigate the high-temperature thermodynamics of a harmonically trapped Fermi gas across a narrow Feshbach resonance, by using the second-order quantum virial expansion, and point out some new features compared to the…

Quantum Gases · Physics 2014-01-08 Shi-Guo Peng , Shuo-Han Zhao , Kaijun Jiang

In terms of the s-wave phase shift of the two-body scattering at thermal wavelength, a systematic perturbative expansion of the virial coefficients is developed for a two-dimensional dilute system of bosons in its gaseous phase at low…

Statistical Mechanics · Physics 2009-11-10 Hai-cang Ren

We study an atomic Bose gas with an s-wave Feshbach resonance in a one-dimensional optical lattice, with the densities of atoms and molecules incommensurate with the lattice. At zero temperature, most of the parameter region is occupied by…

Superconductivity · Physics 2009-11-11 Yu-Wen Lee , Yu-Li Lee

We study the matter-wave bistability in coupled atom-molecule quantum gases, in which heteronuclear molecules are created via an interspecies Feshbach resonance involving either two-species Bose or two-species Fermi atoms at zero…

Quantum Gases · Physics 2015-05-13 Lei Jiang , Han Pu , Andrew Robertson , Hong Y. Ling

A Feshbach resonance in the s-wave scattering length occurs if the energy of the two atoms in the incoming open channel is close to the energy of a bound state in a coupled closed channel. Starting from the microscopic hamiltonian that…

Condensed Matter · Physics 2007-05-23 R. A. Duine , H. T. C. Stoof

We theoretically investigate the high-temperature thermodynamics of a strongly interacting trapped Fermi gas near either s-wave or p-wave Feshbach resonances, using a second order quantum virial expansion. The second virial coefficient is…

Quantum Gases · Physics 2011-07-15 Shi-Guo Peng , Shi-Qun Li , Peter D Drummond , Xia-Ji Liu

The equation of state of partially ionized hydrogen plasma is considered with special focus on the contribution of $e-\rm H_2$ interaction. Within a cluster virial expansion, the Beth-Uhlenbeck formula is applied to infer the contribution…

Plasma Physics · Physics 2014-07-24 Y. A. Omarbakiyeva , H. Reinholz , G. Röpke

Strongly correlated Fermi system plays a fundamental role in very different areas of physics, from neutron stars, quark-gluon plasmas, to high temperature superconductors. Despite the broad applicability, it is notoriously difficult to be…

Quantum Gases · Physics 2013-10-15 Xia-Ji Liu

Low dimensional behavior of two ultra-cold atoms trapped in two-and one-dimensional waveguides is investigated in the vicinity of a magnetic Feshbach resonance. A quantitative two-channel model for the Feshbach mechanism is used allowing an…

Quantum Gases · Physics 2015-04-17 Tom Kristensen , Ludovic Pricoupenko

We discuss the atom-atom scattering problem across a Feshbach resonance in a two-dimensional dilute Bose gas at zero temperature, in the limit where the s-wave scattering length exceeds the width of the vertical confinement. We determine a…

Other Condensed Matter · Physics 2009-11-11 K. K. Rajagopal , P. Vignolo , M. P. Tosi

We develop and analyze a theoretical model which yields the shifts and widths of Feshbach resonances in an atomic waveguide. It is based on a multichannel approach for confinement-induced resonances (CIRs) and atomic transitions in the…

Atomic Physics · Physics 2015-06-11 Shahpoor Saeidian , Vladimir S. Melezhik , Peter Schmelcher

We give exact integral expressions of the third cluster or virial coefficients of binary mixtures of ideal Bose or Fermi gases, with interspecies interactions of zero range and infinite s-wave scattering length. In general the result…

Quantum Gases · Physics 2024-01-25 Shimpei Endo , Yvan Castin

We study the contribution of electron-atom interaction to the equation of state for partially ionized hydrogen plasma using the cluster-virial expansion. For the first time, we use the Beth-Uhlenbeck approach to calculate the second virial…

Plasma Physics · Physics 2015-05-18 Yultuz A. Omarbakiyeva , Carsten Fortmann , T. S. Ramazanov , Gerd Röpke

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

In a recent paper entitled "High temperature expansion applied to fermions near Feshbach resonance" (Phys. Rev. Lett. 92, 160404 (2004)), Ho and Muller have demonstrated a remarkable similarity between its high and low temperature…

Statistical Mechanics · Physics 2007-05-23 Rajat K. Bhaduri , M. K. Srivastava

Based on the analytic model of Feshbach resonances in harmonic traps described in Phys. Rev. A 83, 030701 (2011) a Bose-Hubbard model is introduced that provides an accurate description of two atoms in an optical lattice at a Feshbach…

Quantum Gases · Physics 2015-06-15 Philipp-Immanuel Schneider , Alejandro Saenz

The atomic Bose gas is studied across a Feshbach resonance, mapping out its phase diagram, and computing its thermodynamics and excitation spectra. It is shown that such a degenerate gas admits two distinct atomic and molecular superfluid…

Superconductivity · Physics 2009-11-13 Leo Radzihovsky , Peter B. Weichman , Jae I. Park

We study the virial expansion for three-dimensional Bose and Fermi gases at finite temperature using an approximation that only considers two-body processes and is valid for high temperatures and low densities. The first virial coefficients…

Quantum Gases · Physics 2014-11-26 E. Marcelino , A. Nicolai , I. Roditi , A. LeClair

We study the post-quench dynamics of unitary Bose gases using a two-channel model, focusing on the effect of variations in the width of the Feshbach resonance due to density changes. We generally find that increasing the density leads to a…

Quantum Gases · Physics 2022-08-31 D. J. M. Ahmed-Braun , S. Musolino , V. E. Colussi , S. J. J. M. F. Kokkelmans

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
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