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We study the ground state energy of a system of N fermions with two spin states in the large N limit. The particles are placed in an inhomogeneous trapping potential and interact via scaled interactions. We study a dilute limit where the…

Mathematical Physics · Physics 2025-10-27 Thomas Gamet

We present an experimental study of a two component Fermi gas following an interaction quench into the superfluid phase. Starting with a weakly attractive gas in the normal phase, interactions are ramped to unitarity at a range of rates and…

Quantum Gases · Physics 2021-09-08 P. Dyke , A. Hogan , I. Herrera , C. C. N. Kuhn , S. Hoinka , C. J. Vale

A generalized Fermi-Bose mapping method is used to determine the exact ground states of six models of strongly interacting ultracold gases of two-level atoms in tight waveguides, which are generalizations of the Tonks-Girardeau (TG) gas (1D…

Other Condensed Matter · Physics 2007-07-16 M. D. Girardeau

What are the ground states of an interacting, low-density electron system? In the absence of disorder, it has long been expected that as the electron density is lowered, the exchange energy gained by aligning the electron spins should…

Strongly Correlated Electrons · Physics 2020-12-07 Md. S. Hossain , M. K. Ma , K. A. Villegas Rosales , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We investigate fast rotating quasi-two-dimensional dipolar Fermi gases in the quantum Hall regime. By tuning the direction of the dipole moments with respect to the z-axis, the dipole-dipole interaction becomes anisotropic in the $x$-$y$…

Quantum Gases · Physics 2013-05-29 R. -Z. Qiu , Su-Peng Kou , Z. -X. Hu , Xin Wan , S. Yi

We investigate the ground-state properties of ultracold two-component Fermi gases in the presence of a transverse harmonic potential, focusing on the strongly interacting regime in which pairs of fermions form tightly bound molecules. Using…

Quantum Gases · Physics 2025-12-11 Giovanni Midei , Jordi Boronat , Grigory E. Astrakharchik

An exactly solvable model of two-component interacting Fermi vapour in two dimension within Thomas Fermi approach has been proposed. We assume a realistic off-diagonal s-wave interaction between fermions in the two hyperfine states. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sankalpa Ghosh , M. V. N. Murthy , Subhasis Sinha

Superfluidity in atomic Fermi gases with population imbalance has recently become an exciting research focus. There is considerable disagreement in the literature about the appropriate stability conditions for states in the phase diagram…

Superconductivity · Physics 2011-09-13 Qijin Chen , Yan He , Chih-Chun Chien , K. Levin

We study the collapse of ultracold fermionic gases into inhomogeneous states due to strong dipolar interaction in both 2D and 3D. Depending on the dimensionality, we find that two different types of inhomogeneous states are stabilized once…

Quantum Gases · Physics 2010-08-06 Kai Sun , Congjun Wu , S. Das Sarma

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

We determine the conditions under which superfluidity with and without quantized vortices appears in a weakly interacting two-component atomic Fermi gas that is trapped in a rotating cylindrical symmetric harmonic potential. We compute the…

Quantum Gases · Physics 2012-01-16 Harmen J. Warringa

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

We consider a two-component Fermi gas interacting via a Feshbach molecular state. It is shown that an important energy scale is $E_g=g^4m^3/(64\pi^2)$ where $g$ is the Feshbach coupling constant and $m$ the mass of the particles. Only when…

Statistical Mechanics · Physics 2016-08-31 G. M. Bruun

Thermodynamic properties of matter are conveniently expressed as functional relations between variables known as equations of state. Here we experimentally determine the compressibility, density and pressure equations of state for an…

Quantum Gases · Physics 2016-02-12 K. Fenech , P. Dyke , T. Peppler , M. G. Lingham , S. Hoinka , H. Hu , C. J. Vale

We report on the measurement of the equation of state of a two-component Fermi gas of $^6$Li atoms with resonant interactions. By analyzing the \textit{in situ} density distributions of a population-imbalanced Fermi mixture reported in the…

Statistical Mechanics · Physics 2009-11-13 Yong-il Shin

We report the observation of a pairing in a number polarized two-component gas of atomic fermions. Beyond a critical polarization, the gas separates into a superfluid paired core surrounded by a shell of normal unpaired fermions. The…

Other Condensed Matter · Physics 2009-11-11 Guthrie B. Partridge , Wenhui Li , Ramsey I. Kamar , Yean-an Liao , Randall G. Hulet

We develop an effective field theory to understand collective modes of a three-dimensional two-component Fermi superfluid with dipolar inter-particle interactions, which are modeled by an idealized separable potential. We first examine the…

Quantum Gases · Physics 2019-03-06 Brendan C. Mulkerin , Xia-Ji Liu , Hui Hu

A strongly-attractive, two-component Fermi gas of atoms exhibits universal behavior and should be mechanically stable as a consequence of the quantum mechanical requirement of unitarity. This requirement limits the maximum attractive force…

Superconductivity · Physics 2009-11-07 M. E. Gehm , S. L. Hemmer , S. R. Granade , K. M. O'Hara , J. E. Thomas

We study the competition between the Wigner crystal and the Laughlin liquid states in an ultracold quasi two-dimensional rapidly rotating polarized fermionic dipolar gas, and find that the Wigner crystal has a lower energy below a critical…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 M. A. Baranov , H. Fehrmann , M. Lewenstein

We study a quasi two-dimensional superfluid Fermi gas where the confinement in the third direction is due to a strong harmonic trapping. We investigate the behavior of such a system when the chemical potential is varied and find strong…

Superconductivity · Physics 2009-11-11 J. -P. Martikainen , Paivi Torma