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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

We have measured the heat capacity of an optically-trapped, strongly-interacting Fermi gas of atoms. A precise input of energy to the gas is followed by single-parameter thermometry, which determines the empirical temperature parameter…

Other Condensed Matter · Physics 2011-09-13 J. Kinast , A. Turlapov , J. E. Thomas , Qijin Chen , Jelena Stajic , K. Levin

We study mutual information for Renyi entropy of arbitrary index n, in interacting quantum systems at finite-temperature critical points, using high-temperature expansion, quantum Monte Carlo simulations and scaling theory. We find that for…

Strongly Correlated Electrons · Physics 2011-04-01 Rajiv R. P. Singh , Matthew B. Hastings , Ann B. Kallin , Roger G. Melko

We investigate the BCS critical temperature $T_c$ in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential $V$ on the Fermi-surface. Our results include a rigorous…

Mathematical Physics · Physics 2023-12-21 Joscha Henheik

We investigate strong pairing fluctuations and effects of a harmonic trap in the superfluid phase of an ultracold Fermi gas. Including amplitude and phase fluctuations of the inhomogeneous superfluid order parameter $\Delta(r)$ in a trap…

Quantum Gases · Physics 2015-06-11 Ryota Watanabe , Shunji Tsuchiya , Yoji Ohashi

We consider population-imbalanced two-component Fermi gases under external harmonic confinement interacting through short-range two-body potentials with diverging s-wave scattering length. Using the fixed-node diffusion Monte Carlo method,…

Other Condensed Matter · Physics 2009-11-13 D. Blume

Using a scattering length parametrization of the BCS-BEC crossover as well as the local density approximation for the density profile, we calculate the momentum distribution of a harmonically trapped atomic Fermi gas at zero temperature.…

Condensed Matter · Physics 2016-08-31 L. Viverit , S. Giorgini , L. P. Pitaevskii , S. Stringari

The contact ${\cal I}$, introduced by Tan, has emerged as a key parameter characterizing universal properties of strongly interacting Fermi gases. For ultracold Fermi gases near a Feshbach resonance, the contact depends upon two quantities:…

Quantum Gases · Physics 2015-05-20 E. D. Kuhnle , S. Hoinka , P. Dyke , H. Hu , P. Hannaford , C. J. Vale

We measure radiofrequency (rf) spectra of the homogeneous unitary Fermi gas at temperatures ranging from the Boltzmann regime through quantum degeneracy and across the superfluid transition. For all temperatures, a single spectral peak is…

We investigate the particle and kinetic energy densities of harmonically trapped fermion gases at zero temperature in arbitrary dimensions. We derive analytically a differential equation connecting these densities, which so far have been…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Matthias Brack , M. V. N. Murthy

We study the attractive and repulsive two-component Fermi gas with spin imbalance in two dimensions. Using a generalized $T$-matrix approximation, we examine the thermodynamic properties of both attractive and repulsive contact interacting…

Quantum Gases · Physics 2014-08-15 Weiran Li

We study the Higgs mode of a strongly-interacting Fermi gas in the crossover regime between a fermionic and bosonic superfluid. By periodically modulating the interaction strength of the gas, we parametrically excite the Higgs mode and…

Quantum Gases · Physics 2024-10-15 Andreas Kell , Moritz Breyer , Daniel Eberz , Michael Köhl

A quantity known as the contact plays a fundamental role in quantum many-body systems with short-range interactions. The determination of the temperature dependence of the contact for the unitary Fermi gas of infinite scattering length has…

Quantum Gases · Physics 2020-07-29 S. Jensen , C. N. Gilbreth , Y. Alhassid

The critical temperature of a superfluid phase transition in a Fermi gas with repulsive interaction is found. The influence of a magnetic field on the transition is analyzed. The estimates for the critical temperature for a trapped gas of…

Statistical Mechanics · Physics 2007-05-23 D. V. Efremov , M. S. Mar'enko , M. A. Baranov , M. Yu. Kagan

We use a BCS-type variational wavefunction to study attractively-interacting quasi one-dimensional (1D) fermionic atomic gases, motivated by cold-atom experiments that access the 1D regime using an anisotropic harmonic trapping potential…

Quantum Gases · Physics 2015-07-16 Stephen Kudla , Dominique M. Gautreau , Daniel E. Sheehy

We present a unique theoretical description of the physics of the spherically trapped $N$-atom degenerate Fermi gas (DFG) at zero temperature based on an ordinary Schr\"{o}dinger equation with a microscopic, two body interaction potential.…

Other Condensed Matter · Physics 2009-11-11 Seth T. Rittenhouse , M. J. Cavagnero , Javier von Stecher , Chris H. Greene

We study the evolution of the energy gap in a unitary Fermi gas as a function of temperature. To this end we approximate the Fermi gas by the Hubbard lattice Hamiltonian and solve using the dynamical mean-field approximation. We have found…

Statistical Mechanics · Physics 2009-11-13 Nir Barnea

The unitary Fermi gas (UFG) is a strongly correlated system of two-species (spin-1/2) fermions with a short-range attractive interaction modeled by a contact interaction and has attracted much interest across different disciplines. The UFG…

Quantum Gases · Physics 2024-08-30 S. Jensen , C. N. Gilbreth , Y. Alhassid

We experimentally determined various thermodynamic quantities of interacting two-component fermions at the zero-temperature limit from the Bardeen-Cooper-Schrieffer (BCS) region to the unitarity limit. The obtained results are very accurate…

Cold-atom experiments which measure Fermi-gas properties near unitarity confine fermionic atoms to a region of space using trapping potentials of various shapes. The presence of a trapping potential introduces a new characteristic physical…

Quantum Gases · Physics 2026-05-29 Silas R. Beane , Adèle Le Borgne , Domenico Orlando , Susanne Reffert