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In view of ongoing experiments to trap ultracold spin-polarized $^6$Li, we study various properties of an interacting Fermi gas in a harmonic trap taking the discrete nature of the unperturbed harmonic trap levels into account exactly. As…

Atomic Physics · Physics 2016-09-08 G. M. Bruun , K. Burnett

The unitary Fermi gas serves as a tunable realization of a strongly coupled CFT, making it a powerful system for probing universal quantum many-body phenomena. Precise measurement of its properties remains experimentally challenging:…

Quantum Gases · Physics 2026-05-27 Adèle Le Borgne

We derive the elastic collision rate for a harmonically-trapped Fermi gas in the extreme unitarity limit where the s-wave scattering cross section is $\sigma (k) =4\pi/k^2$, with $\hbar k$ the relative momentum. The collision rate is given…

Statistical Mechanics · Physics 2009-11-10 M. E. Gehm , S. L. Hemmer , K. M. O'Hara , J. E. Thomas

The recently discovered universal thermodynamic behaviour of dilute, strongly interacting Fermi gases also implies a universal structure in the many-body pair-correlation function at short distances, as quantified by the contact ${\cal I}$.…

Quantum Gases · Physics 2011-07-06 Hui Hu , Xia-Ji Liu , Peter D. Drummond

An important tool for understanding the effects of interactions in harmonically trapped atomic gases is the examination of their collective modes. One such mode is the breathing or monopole mode, which is special as it is constrained to…

Quantum Gases · Physics 2022-01-05 Jeff Maki

We theoretically investigate magnetic properties of a unitary Fermi gas in a harmonic trap. Including strong pairing fluctuations within the framework of an extended $T$-matrix approximation (ETMA), as well as effects of a trap potential…

Quantum Gases · Physics 2016-01-27 Hiroyuki Tajima , Ryo Hanai , Yoji Ohashi

We suggest a tetracritical fixed point to naturally occur in strongly interacting theories. As a fundamental example we analyze the temperature--quark chemical potential phase diagram of QCD with fermions in the adjoint representation of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Francesco Sannino , Kimmo Tuominen

Thermodynamic properties of an ultracold Fermi gas in a harmonic trap are calculated within a local density approximation, using a conserving many-body formalism for the BCS to BEC crossover problem, which has been developed by Haussmann et…

Statistical Mechanics · Physics 2009-11-13 R. Haussmann , W. Zwerger

Interacting Fermi gases with equal populations but unequal masses are investigated at zero temperature using local density approximation and the hydrodynamic theory of superfluids in the presence of harmonic trapping. We derive the…

Soft Condensed Matter · Physics 2009-11-13 G. Orso , L. P. Pitaevskii , S. Stringari

We examine the effect of the trapping potential on the critical temperature, $T_C$, for the BCS transition to a superfluid state in trapped atomic gases of fermions. $T_C$ for an arbitrary power law trap is calculated in the Thomas-Fermi…

Superconductivity · Physics 2009-11-07 C. P. Search , H. Pu , W. Zhang , B. P. Anderson , P. Meystre

The stability of trapped dilute Fermi gases against collapse towards large densities is studied. A hermitian effective contact-interaction for all partial waves is derived, which is particularly suited for a mean-field description of these…

Statistical Mechanics · Physics 2009-10-31 R. Roth , H. Feldmeier

We investigate some aspects of the Bose-Einstein condensation (BEC) of quantum gases in the presence of inhomogeneous conditions. We consider three-dimensional (3D) quantum gases trapped by an external potential when the temperature is…

Quantum Gases · Physics 2017-05-10 Francesco Delfino , Ettore Vicari

The dynamics of strongly interacting trapped dilute Fermi gases (dilute in the sense that the range of interatomic potential is small compared with inter-particle spacing) is investigated in a single-equation approach to the time-dependent…

Soft Condensed Matter · Physics 2009-02-05 Yeong E. Kim , Alexander L. Zubarev

We theoretically investigate the spin-dipole oscillation of a strongly interacting Fermi gas in a harmonic trap. By using a combined diagrammatic strong-coupling theory with a local density approximation and a sum rule approach, we clarify…

Quantum Gases · Physics 2020-01-22 Hiroyuki Tajima , Alessio Recati , Yoji Ohashi

We report on measurements of the critical temperature of a harmonically trapped, weakly interacting Bose gas as a function of atom number. Our results exclude ideal-gas behavior by more than two standard deviations, and agree quantitatively…

Ultracold atomic Fermi gases present an opportunity to study strongly interacting Fermi systems in a controlled and uncomplicated setting. The ability to tune attractive interactions has led to the discovery of superfluidity in these…

Quantum Gases · Physics 2010-07-29 J. P. Gaebler , J. T. Stewart , T. E. Drake , D. S. Jin , A. Perali , P. Pieri , G. C. Strinati

We perform high-precision measurements of the condensation temperature of a harmonically-trapped atomic Bose gas with widely-tuneable interactions. For weak interactions we observe a negative shift of the critical temperature in excellent…

Quantum Gases · Physics 2011-06-29 Robert P. Smith , Robert L. D. Campbell , Naaman Tammuz , Zoran Hadzibabic

We present a high-precision determination of the universal contact parameter in a strongly interacting Fermi gas. In a trapped gas at unitarity we find the contact to be $3.06 \pm 0.08$ at a temperature of 0.08 of the Fermi temperature in a…

Quasi-one-dimensional (quasi-1d) two-component Fermi gases with effectively attractive and repulsive interactions are characterized for arbitrary interaction strength. The ground-state properties of the gas confined in highly elongated…

Soft Condensed Matter · Physics 2009-11-10 G. E. Astrakharchik , D. Blume , S. Giorgini , L. P. Pitaevskii

We consider a mixture of two-component Fermi gases at low temperature. The density profile of this degenerate Fermi gas is calculated under the semiclassical approximation. The results show that the fermion-fermion interactions make a large…

Quantum Physics · Physics 2009-11-10 X. X. Yi , H. J. Wang , H. T. Cui , C. M. Zhang