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The anisotropic Fermi superfluid of ultra-cold Fermi atoms under the p-wave Feshbach resonance is studied theoretically. The pairing symmetry of the ground state is determined by the strength of the atom-atom magnetic dipole interaction. It…

Other Condensed Matter · Physics 2007-05-23 Chi-Ho Cheng , Sung-Kit Yip

A self-consistent theory is derived to describe the BCS-BEC crossover for a strongly interacting Fermi gas with a Feshbach resonance. In the theory the fluctuation of the dressed molecules, consisting of both preformed Cooper-pairs and…

Strongly Correlated Electrons · Physics 2009-02-05 Xia-Ji Liu , Hui Hu

Ultracold Fermi gases subject to tight transverse confinement offer a highly controllable setting to study the two-dimensional (2D) BCS to Berezinskii-Kosterlitz-Thouless superfluid crossover. Achieving the 2D regime requires confining…

Quantum Gases · Physics 2016-01-20 P. Dyke , K. Fenech , T. Peppler , M. G. Lingham , S. Hoinka , W. Zhang , B. Mulkerin , H. Hu , X. -J. Liu , C. J. Vale

We investigate the ground state properties of a one-dimensional two-component ultra-cold Fermi gas in an infinite potential well. Exact Bethe ansatz solution is used to calculate the many-body wave function of the system. Then we evaluate…

Statistical Mechanics · Physics 2008-07-15 Bo-Bo Wei , Jun-Peng Cao , Shi-Jian Gu , Hai-Qing Lin

A four-component Fermi gas in one dimension with a short-range four-body interaction is shown to exhibit a one-dimensional analog of the BCS-BEC crossover. Its low-energy physics is governed by a Tomonaga-Luttinger liquid with three spin…

Quantum Gases · Physics 2010-11-03 Yusuke Nishida , Dam T. Son

Fermi gases with magnetically tunable interactions provide a clean and controllable laboratory system for modeling interparticle interactions between fermions in nature. The s-wave scattering length, which is dominant a low temperature, is…

Quantum Gases · Physics 2010-04-05 J. E. Thomas

Feshbach resonances are the essential tool to control the interaction between atoms in ultracold quantum gases. They have found numerous experimental applications, opening up the way to important breakthroughs. This Review broadly covers…

Other Condensed Matter · Physics 2010-05-04 Cheng Chin , Rudolf Grimm , Paul Julienne , Eite Tiesinga

Recent repoet on the formation of two-dimensional Bose-Einstein condensates (BECs) of spinning g-wave molecules is surprise. Here we study quantum phase transition in the quasi-2D atomic Bose gas with a g-wave Feshbach resonance, and show…

Quantum Physics · Physics 2025-05-27 Fan Zhang , Lan Yin

Universal relations are important for understanding strongly interacting Fermi gases, the study of which have been mostly limited to cases with a single scattering channel. Here we discover a series universal relations for strongly…

Quantum Gases · Physics 2016-06-22 Ran Qi

In this paper we explore the spin-orbit-induced bound state and molecular signature of the degenerate Fermi gas in a narrow Feshbach resonance based on a generalized two-channel model. Without the atom-atom interactions, only one bound…

Quantum Gases · Physics 2013-07-10 Kuang Zhang , Gang Chen , Suotang Jia

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

Interacting fermions are ubiquitous in nature and understanding their thermodynamics is an important problem. We measure the equation of state of a two-component ultracold Fermi gas for a wide range of interaction strengths at low…

Quantum Gases · Physics 2010-06-03 Nir Navon , Sylvain Nascimbène , Frédéric Chevy , Christophe Salomon

We investigate mean-field effects in two- component trapped Fermi gases in the superfluid phase, in the vicinity of s-wave Feshbach resonances. Within the resonance superfluidity approach (Holland et al., 2001) we calculate the ground state…

Soft Condensed Matter · Physics 2009-11-10 Alexander V. Avdeenkov

We present a detailed analysis of the two-channel atom-molecule effective Hamiltonian for an ultracold two-component homogeneous Fermi gas interacting near a Feshbach resonance. We particularly focus on the two-body and many-body properties…

Other Condensed Matter · Physics 2014-11-17 G. M. Falco , H. T. C. Stoof

We theoretically examine the creation of a Fermi-degenerate gas of molecules via a photoassociation or Feshbach resonance applied to a degenerate Bose-Fermi mixture of atoms. This problem raises an interest because, unlike bosons, fermions…

Atomic Physics · Physics 2016-09-08 Olavi Dannenberg , Matt Mackie , Kalle-Antti Suominen

Using two different numerical methods, we study the behavior of two-component Fermi gases interacting through short-range s-wave interactions in a harmonic trap. A correlated Gaussian basis-set expansion technique is used to determine the…

Other Condensed Matter · Physics 2009-11-13 J. von Stecher , Chris H. Greene , D. Blume

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

We consider the behavior of an ultracold Fermi gas across a narrow Feshbach resonance, where the occupation of the closed channel may not be negligible. While the corrections to the single-channel formulae associated with the nonzero…

Quantum Gases · Physics 2013-02-27 Guojun Zhu , Anthony J. Leggett

We construct the phase diagram of a homogeneous two component Fermi gas with population imbalance under a Feshbach resonance. In particular, we study the physics and stability of the Larkin-Ovchinnikov phase. We show that this phase is…

Other Condensed Matter · Physics 2009-11-13 Nobukatsu Yoshida , S. -K. Yip

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