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We consider an impurity problem in a quasi-two-dimensional Fermi gas, where a spin-down impurity is immersed in a Fermi sea of N spin-up atoms. Using a variational approach and an effective two-channel model, we obtain the energies of the…

Atomic Physics · Physics 2022-08-17 Yue-Ran Shi , Jin-Ge Chen , Kuiyi Gao , Wei Zhang

Recent experiments with dilute trapped Fermi gases observed that weak interactions can drastically modify spin transport dynamics and give rise to robust collective effects including global demagnetization, macroscopic spin waves, spin…

Quantum Gases · Physics 2016-12-09 Andrew P. Koller , Michael L. Wall , Josh Mundinger , Ana Maria Rey

We investigate low-density, quantum-degenerate gases in the presence of a localised attractive potential in the centre of a one-dimensional harmonic trap.The attractive potential is modelled using a parameterised delta-function, allowing us…

Quantum Physics · Physics 2008-06-30 J. Goold , D. O Donoghue , Th. Busch

The structure and stability of dilute degenerate Fermi gases trapped in an external potential is discussed with special emphasis on the influence of s- and p-wave interactions. In a first step an Effective Contact Interaction for all…

Soft Condensed Matter · Physics 2009-11-07 R. Roth , H. Feldmeier

We study fermionic pairing in an ultracold two-component gas of $^6$Li atoms by observing an energy gap in the radio-frequency excitation spectra. With control of the two-body interactions via a Feshbach resonance we demonstrate the…

Superconductivity · Physics 2007-05-23 C. Chin , M. Bartenstein A. Altmeyer , S. Riedl , S. Jochim , J. Hecker Denschlag , R. Grimm

We study ground-state properties of interacting two-component boson gases in a one-dimensional harmonic trap by using the exact numerical diagonalization method. Based on numerical solutions of many-body Hamiltonians, we calculate the…

Strongly Correlated Electrons · Physics 2009-02-09 Yajiang Hao , Shu Chen

We study a system of $N$ noninteracting spinless fermions in a confining, double-well potential in one dimension. When the Fermi energy is close to the value of the potential at its local maximum we show that physical properties, such as…

Statistical Mechanics · Physics 2020-05-19 Naftali R. Smith , David S. Dean , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

We consider imbalanced Fermi gases with strong attractive interactions, for which Cooper-pair formation plays an important role. The two-component mixtures consist either of identical fermionic atoms in two different hyperfine states, or of…

Quantum Gases · Physics 2015-06-05 K. B. Gubbels , H. T. C. Stoof

We study the ground state properties of interacting Fermi gases in the dilute regime, in three dimensions. We compute the ground state energy of the system, for positive interaction potentials. We recover a well-known expression for the…

Mathematical Physics · Physics 2021-08-04 Marco Falconi , Emanuela L. Giacomelli , Christian Hainzl , Marcello Porta

We consider mass-imbalanced two-component Fermi gases for which the unequal-mass atoms interact via a zero-range model potential with a diverging s-wave scattering length $a_s$, i.e., with $1/a_s=0$. The high temperature thermodynamics of…

Quantum Gases · Physics 2012-03-13 K. M. Daily , D. Blume

We study the phase structure of a dilute two-component Fermi system with attractive interactions as a function of the coupling and the polarization or number difference between the two components. In weak coupling, a finite number asymmetry…

Other Condensed Matter · Physics 2009-11-11 J. Carlson , Sanjay Reddy

The exact solution of the 1D interacting mixed Bose-Fermi gas is used to calculate ground-state properties both for finite systems and in the thermodynamic limit. The quasimomentum distribution, ground-state energy and generalized…

Statistical Mechanics · Physics 2007-05-23 M. T. Batchelor , M. Bortz , X. W. Guan , N. Oelkers

Motivated by the remarkable experimental control of synthetic gauge fields in ultracold atomic systems, we investigate the effect of an artificial Rashba spin-orbit coupling on the spin polarization of a two-dimensional repulsive Fermi gas.…

We theoretically study the normal phase properties of strongly interacting two-component Fermi gases in two spatial dimensions. In the limit of weak attraction, we find that the gas can be described in terms of effective polarons. As the…

Quantum Gases · Physics 2012-08-07 Ville Pietilä

We calculate the equation of state of a two-component Fermi gas with attractive short-range interspecies interactions using the fixed-node diffusion Monte Carlo method. The interaction strength is varied over a wide range by tuning the…

Soft Condensed Matter · Physics 2009-11-10 G. E. Astrakharchik , J. Boronat , J. Casulleras , S. Giorgini

We obtain the phase diagram of spin-imbalanced interacting Fermi gases from measurements of density profiles of $^6$Li atoms in a harmonic trap. These results agree with, and extend, previous experimental measurements. Measurements of the…

Atomic Physics · Physics 2015-12-16 Ben A. Olsen , Melissa C. Revelle , Jacob A. Fry , Daniel E. Sheehy , Randall G. Hulet

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

We briefly review recent progress on ultracold atomic Fermi gases with different types of synthetic spin-orbit coupling, including the one-dimensional (1D) equal weight Rashba-Dresselhaus and two-dimensional (2D) Rasbha spin-orbit…

Quantum Gases · Physics 2017-08-23 Jing Zhang , Hui Hu , Xia-Ji Liu , Han Pu

We propose a simple model of an interacting, fully spin--polarized Fermi gas in dimensions $d=2$ and $d=3$, and derive the approximate expression for the energy spectrum and the corresponding formula for the Helmholtz free energy. We…

Quantum Gases · Physics 2024-09-05 Krzysztof Myśliwy , Marek Napiórkowski

We analyze when a repulsively interacting two-component Fermi gas becomes thermodynamically unstable against phase separation. We focus on the strongly polarised limit where the free energy of the homogeneous mixture can be calculated…

Quantum Gases · Physics 2013-06-13 Pietro Massignan , Zhenhua Yu , Georg M. Bruun
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