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A unitary Fermi gas in an isotropic harmonic trap is predicted to show scale and conformal symmetry that have important consequences in its thermodynamic and dynamical properties. By experimentally realizing a unitary Fermi gas in an…

Quantum Gases · Physics 2024-06-21 Lu Wang , Xiangchuan Yan , Jing Min , Dali Sun , Xin Xie , Shi-Guo Peng , Mingsheng Zhan , Kaijun Jiang

Optically-trapped two-component Fermi gases near a broad Feshbach resonance exhibit universal thermodynamics, where the properties of the gas are independent of the details of the two-body scattering interactions. We present a global proof…

Statistical Mechanics · Physics 2008-03-12 J. E. Thomas

We show that the universal $1/k^4$ tail in the momentum distribution of dilute Fermi gases implies that the spectral function $A(\kk,\omega)$ must have weight below the chemical potential for large momentum $k \gg k_F$, with observable…

Quantum Gases · Physics 2010-02-05 William Schneider , Mohit Randeria

In three spatial dimensions, in the unitary limit of a non-relativistic quantum Bose or Fermi gas, the scattering length diverges. This occurs at a renormalization group fixed point, thus these systems present interesting examples of…

Quantum Gases · Physics 2011-02-16 Pye-Ton How , Andre LeClair

Ultracold atomic Fermi gases in two-dimensions (2D) are an increasingly popular topic of research. The interaction strength between spin-up and spin-down particles in two-component Fermi gases can be tuned in experiments, allowing for a…

Quantum Gases · Physics 2017-10-31 Alexander Galea , Tash Zielinski , Stefano Gandolfi , Alexandros Gezerlis

We investigate an ultracold Fermi gas at unitarity confined in a periodic box $V=L^3$ using renormalization group (RG) techniques. Within this approach we can quantitatively assess the long range bosonic order parameter fluctuations which…

Quantum Gases · Physics 2015-05-30 Jens Braun , Sebastian Diehl , Michael M. Scherer

Impurities in a Fermi sea, or Fermi polarons, experience a Casimir interaction induced by quantum fluctuations of the medium. When there is short-range attraction between impurities and fermions, also the induced interaction between two…

We analyze the universality of the Unitary Fermi Gas in its ground state from a Wilsonian renormalization point of view and compute the effective range dependence of the Bertsch parameter $\xi$ exactly. To this end we construct an effective…

Quantum Gases · Physics 2017-12-19 E. Ruiz Arriola , S. Szpigel , V. S. Timoteo

We study a system of spinless fermions in two dimensions with a short-range interaction fine-tuned to a p-wave resonance. We show that three such fermions form an infinite tower of bound states of orbital angular momentum l=\pm1 and their…

Quantum Gases · Physics 2013-06-07 Yusuke Nishida , Sergej Moroz , Dam Thanh Son

We analyze strongly interacting Fermi gases in the unitary regime by considering the generalization to an arbitrary number N of spin-1/2 fermion flavors with Sp(2N) symmetry. For N=\infty this problem is exactly solved by the BCS-BEC…

Other Condensed Matter · Physics 2009-02-05 M. Y. Veillette , D. E. Sheehy , L. Radzihovsky

The unitary Fermi gas is a many-body system of two-component fermions with zero-range interactions tuned to infinite scattering length. Despite much activity and interest in unitary Fermi gases and its universal properties, there have been…

Quantum Gases · Physics 2020-07-02 Rongzheng He , Ning Li , Bing-Nan Lu , Dean Lee

We study a dynamics of ultracold Fermi-gases near the unitary limit in the framework of Effective Field Theory. It is shown that, while one can obtain a reasonable description of the universal proportionality constant both in the narrow and…

Superconductivity · Physics 2008-11-26 Boris Krippa

We generalize the Nozi\'eres-Schmitt-Rink (NSR) method to study the repulsive Fermi gas in the absence of molecule formation, i.e., in the so-called "upper branch". We find that the system remains stable except close to resonance at…

Quantum Gases · Physics 2011-11-16 Vijay B. Shenoy , Tin-Lun Ho

We study two species of particles in two dimensions interacting by isotropic short-range potentials with the interspecies potential fine-tuned to a p-wave resonance. Their universal low-energy physics can be extracted by analyzing a…

Quantum Gases · Physics 2014-12-25 Sergej Moroz , Yusuke Nishida

We study the behavior of the bound state energy of a system consisting of two identical heavy fermions of mass M and a light particle of mass m. The heavy fermions interact with the light particle through a short-range two-body potential…

Quantum Gases · Physics 2015-06-12 A. Safavi-Naini , Seth. T. Rittenhouse , D. Blume , H. R. Sadeghpour

We determine the energetically lowest lying states in the BEC-BCS crossover regime of s-wave interacting two-component Fermi gases under harmonic confinement by solving the many-body Schrodinger equation using two distinct approaches.…

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

Inspired by the narrow Feshbach resonance in systems with the two-body interaction, we propose the two-channel model of three-component fermions with the three-body interaction that takes into account the finite-range effects in low…

Quantum Gases · Physics 2024-01-23 V. Polkanov , V. Pastukhov

Two-dimensional Fermi gases with universal short-range interactions are known to exhibit a quantum anomaly, where a classical scale and conformal invariance is broken by quantum effects at strong coupling. We argue that in a quasi…

Quantum Gases · Physics 2022-05-24 Viktor Bekassy , Johannes Hofmann

Equal mass fermionic trimers with two different spin components near the unitary limit are shown to possess a universal van der Waals bound or resonance state near $s$-wave unitarity, when $p$-wave interactions are included between the…

Atomic Physics · Physics 2025-11-25 Yu-Hsin Chen , Chris H. Greene

We investigate universal properties of one-dimensional multi-component systems comprised of fermions, bosons, or an arbitrary mixture, with contact interactions and subjected to an external potential. The masses and the coupling strengths…

Quantum Gases · Physics 2017-12-14 Ovidiu I. Patu , Andreas Klumper