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We review some unresolved theoretical issues in three-dimensional two-component Fermi gases, drawing on recent experiments on cold atoms in immaterial traps close to a magnetic Feshbach resonance. We distinguish successively (i) the open…

Quantum Gases · Physics 2025-05-20 Yvan Castin

Using arguments based on sum rules, we derive a general result for the average shifts of rf lines in Fermi gases in terms of interatomic interaction strengths and two-particle correlation functions. We show that near an interaction…

Strongly Correlated Electrons · Physics 2008-09-14 Gordon Baym , C. J. Pethick , Zhenhua Yu , Martin W. Zwierlein

Within the universal zero-range theory, we compute the three-body recombination rate to deep molecular states for two identical bosons resonantly interacting with each other and with a third atom of another species, in the absence of weakly…

Quantum Gases · Physics 2015-08-27 D. S. Petrov , F. Werner

We exploit a time-resolved pump-probe spectroscopic technique to study the out-of-equilibrium dynamics of an ultracold two-component Fermi gas, selectively quenched to strong repulsion along the upper branch of a broad Feshbach resonance.…

Quantum Gases · Physics 2019-01-02 A. Amico , F. Scazza , G. Valtolina , P. E. S. Tavares , W. Ketterle , M. Inguscio , G. Roati , M. Zaccanti

In this letter, we investigate the properties of a strongly interacting spinless Fermi gas close to a $p$-wave resonance. We show that the universal properties at a $p$-wave resonance are captured by two contacts, which are related…

Quantum Gases · Physics 2016-07-01 Zhenhua Yu , Joseph H. Thywissen , Shizhong Zhang

The behavior of a decoupled ideal Fermi gas in a homogeneously expanding three-dimensional volume is investigated, starting from an equilibrium spectrum. In case the gas is massless and/or completely degenerate, the spectrum of the gas can…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-16 Andreas Trautner

A sum rule approach is used to calculate the zero temperature oscillation frequencies of a two component trapped atomic Fermi gas in the BCS-Bose Einstein condensation crossover region. These sum rules are evaluated using a local density…

Other Condensed Matter · Physics 2007-05-23 Theja N. De Silva , Erich J. Mueller

A set of universal relations between various properties of any few-body or many-body system consisting of fermions with two spin states and a large but finite scattering length have been derived by Shina Tan. We derive generalizations of…

Other Condensed Matter · Physics 2009-11-13 Eric Braaten , Daekyoung Kang , Lucas Platter

Experimental studies with ultracold atoms have enabled major breakthroughs in understanding three-body physics, historically a fundamental yet challenging problem. This is because the interactions among ultracold atoms can be precisely…

Atomic Physics · Physics 2014-11-05 Yujun Wang , Paul S. Julienne

We report a thorough investigation of finite-temperature effects on three-body recombination near a triatomic Efimov resonance in an ultracold gas of cesium atoms. Our measurements cover a wide range from a near-ideal realization of the…

Quantum Gases · Physics 2015-06-22 Bo Huang , Leonid A. Sidorenkov , Rudolf Grimm

We report on the realization of a quantum degenerate atomic Fermi gas in an optical lattice. Fermi surfaces of noninteracting fermions are studied in a three-dimensional lattice. Using a Feshbach resonance, we observe a coupling of the…

Strongly Correlated Electrons · Physics 2007-05-23 Thilo Stöferle , Henning Moritz , Christian Schori , Kenneth Günter , Michael Köhl , Tilman Esslinger

We investigate the non-universal behavior of the BCS-BEC crossover model at the normal to superfluid transition. By using a finite temperature quantum field theoretical approach due to Nozieres and Schmitt-Rink and by making the effective…

Superconductivity · Physics 2007-05-23 L. M. Jensen

The binding energy of Feshbach molecules from a two component Fermi gas of $^{40}$K atoms has been experimentally measured with the momentum-resolved Raman spectroscopy. Comparing with the radio-frequency spectroscopy, in the present…

Quantum Gases · Physics 2015-06-11 Zhengkun Fu , Pengjun Wang , Lianghui Huang , Zengming Meng , Jing Zhang

In this work, we present an effective field theory to describe a two-component Fermi gas near a $d$-wave interaction resonance. The effective field theory is renormalizable by matching with the low energy $d$-wave scattering phase shift.…

Quantum Gases · Physics 2017-04-19 Pengfei Zhang , Shizhong Zhang , Zhenhua Yu

We consider a quantum model of two-channel scattering to describe the mechanism of a Feshbach resonance. We perform a rigorous analysis in order to count and localize the energy resonances in the perturbative regime, i.e., for small…

Mathematical Physics · Physics 2019-10-01 R. Carlone , M. Correggi , D. Finco , A. Teta

The results of a recent experiment with $^{85}$Rb Bose-Einstein condensates are analyzed within the mean-field approximation including dissipation due to three-body recombination. The intensity of the dissipative term is chosen from the…

Soft Condensed Matter · Physics 2007-05-23 Victo S. Filho , L. Tomio , A. Gammal , T. Frederico

In systems of ultracold atoms, pairwise interactions can be resonantly enhanced by a new mechanism which does not rely upon a magnetic Feshbach resonance. In this mechanism, interactions are controlled by tuning the frequency of an…

Quantum Gases · Physics 2015-10-14 D. H. Smith

We study the properties of strongly interacting Bose gases at the density and temperature regime when the three-body recombination rate is substantially reduced. In this regime, one can have a Bose gas with all particles in scattering…

Quantum Gases · Physics 2012-05-08 Weiran Li , Tin-Lun Ho

In many-body systems governed by pairwise contact interactions, a wide range of observables is linked by a single parameter, the two-body contact, which quantifies two-particle correlations. This profound insight has transformed our…

We theoretically investigate the equation of state and Tan's contact of a non-degenerate three dimensional Bose gas near a broad Feshbach resonance, within the framework of large-$N$ expansion. Our results agree with the path-integral Monte…

Quantum Gases · Physics 2015-05-20 Xia-Ji Liu , Brendan Mulkerin , Lianyi He , Hui Hu