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We study the phase diagram of a two component Fermi system with a weak attractive interaction. Our analysis includes the leading order Hartree energy shifts and pairing correlations at finite temperature and chemical potential difference…

Superconductivity · Physics 2009-01-06 Rishi Sharma , Sanjay Reddy

We present lattice results for spin-1/2 fermions at unitarity, where the effective range of the interaction is zero and the scattering length is infinite. We measure the spatial coherence of difermion pairs for a system of 6, 10, 14, 18,…

Statistical Mechanics · Physics 2008-11-26 Dean Lee

We investigate the life cycle of the large amplitude Higgs mode in strongly interacting superfluid Fermi gas. Through numerical simulations with time-dependent density-functional theory and the technique of the interaction quench, we verify…

Quantum Gases · Physics 2023-07-17 Andrea Barresi , Antoine Boulet , Gabriel Wlazłowski , Piotr Magierski

We consider the low energy collective monopole modes of a trapped weakly interacting atomic Fermi gas in the collisionless regime. The spectrum is calculated for varying coupling strength and chemical potential. Using an effective…

Condensed Matter · Physics 2009-11-07 G. M. Bruun

We consider a generic Hamiltonian that is suitable for describing a uniform BCS superfluid on a lattice with a two-point basis, and study its collective excitations at zero temperature. For this purpose, we first derive an…

Quantum Gases · Physics 2020-05-27 M. Iskin

The Higgs mode corresponds to the collective motion of particles due to the vibrations of an invisible field. It plays a fundamental role for our understanding of both low and high energy physics, giving elementary particles their mass and…

Quantum Gases · Physics 2014-09-03 Georg M. Bruun

The amplitude mode of a fermionic superfluid, analogous to the Higgs Boson, becomes undamped in the strong coupling regime when its frequency is pushed inside the BCS energy gap. We argue that this is the case in cold gases due to the…

Superconductivity · Physics 2007-05-23 R. A. Barankov , L. S. Levitov

We show how a strongly coupled lattice theory consisting of just fermions and gauge fields can exhibit a dynamical Higgs mechanism through the formation of a gauge invariant four fermion condensate. Furthermore, we argue that the resultant…

High Energy Physics - Lattice · Physics 2013-11-19 Simon Catterall , Aarti Veernala

We investigate the inhomogeneous unitary Fermi gas and use the long-wavelength properties to predict the energies of small clusters of unitary fermions trapped in harmonic potentials. The large pairing gap and scale invariance place severe…

Quantum Gases · Physics 2015-06-22 J. Carlson , S. Gandolfi

A two-component Fermi gas with attractive s-wave interactions forms a superfluid at low temperatures. When this gas is confined in a rotating trap, fermions can unpair at the edges of the gas and vortices can arise beyond certain critical…

Quantum Gases · Physics 2011-08-11 Harmen J. Warringa , Armen Sedrakian

We investigate the generalized Hubbard model of $(2n+1)$ Fermion species interacting via a symmetric contact attraction potential. We prove that the ground state of such system is a gapless superfluid, where a full Fermi surface coexists…

Superconductivity · Physics 2011-04-11 Betzalel Bazak , Nir Barnea

We examine collective modes, stability, and BCS pairing in a quasi-two-dimensional gas of dipolar fermions aligned by an external field. By using the (conserving) Hartree-Fock approximation, which treats direct and exchange interactions on…

Quantum Gases · Physics 2011-12-26 L. M. Sieberer , M. A. Baranov

The study of superfluid fermion pairs in a periodic potential has important ramifications for understanding superconductivity in crystalline materials. Using cold atomic gases, various condensed matter models can be studied in a highly…

Other Condensed Matter · Physics 2009-11-11 J. K. Chin , D. E. Miller , Y. Liu , C. Stan , W. Setiawan , C. Sanner , K. Xu , W. Ketterle

Interacting Bose-Fermi mixtures possess a fermionic (super)symmetry when bosons and fermions in the mixture have equal masses, and when the interaction strengths are appropriately tuned. This symmetry is spontaneously broken in the ground…

Quantum Gases · Physics 2016-03-30 Barry Bradlyn , Andrey Gromov

Kohn and Luttinger showed that a many body system of fermions interacting via short range forces becomes superfluid even if the interaction is repulsive in all partial waves. In gauge theories such as QCD the interaction between fermions is…

High Energy Physics - Phenomenology · Physics 2009-11-11 Thomas Schaefer

We study the low energy effective action for the collective modes of the color flavor locked phase of QCD. This phase of matter has long been known to be a superfluid because by picking a phase its order parameter breaks the quark-number…

High Energy Physics - Phenomenology · Physics 2015-03-17 Roberto Anglani , Massimo Mannarelli , Marco Ruggieri

The attractive Fermi-Hubbard model is the simplest theoretical model for studying pairing and superconductivity of fermions on a lattice. Although its s-wave pairing symmetry excludes it as a microscopic model for high-temperature…

The phase diagram of a non-relativistic fermionic system with imbalanced state populations interacting via a short-range S-wave attractive interaction is analyzed in the mean field approximation. We determine the energetically favored state…

Superconductivity · Physics 2008-11-26 Massimo Mannarelli , Giuseppe Nardulli , Marco Ruggieri

We study the Higgs amplitude mode in the s-wave superfluid state on the honeycomb lattice inspired by recent cold atom experiments. We consider the attractive Hubbard model and focus on the vicinity of a quantum phase transition between…

Quantum Gases · Physics 2013-08-09 Shunji Tsuchiya , R. Ganesh , Tetsuro Nikuni

We demonstrate that an undamped few-body precursor of the Higgs mode can be investigated in a harmonically trapped Fermi gas. Using exact diagonalisation, the lowest monopole mode frequency is shown to depend non-monotonically on the…

Quantum Gases · Physics 2016-04-15 J. Bjerlin , S. M. Reimann , G. M. Bruun