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We consider N atoms trapped in an isotropic harmonic potential, with s-wave interactions of infinite scattering length. In the zero-range limit, we obtain several exact analytical results: mapping between the trapped problem and the…

Other Condensed Matter · Physics 2016-08-16 Félix Werner , Yvan Castin

We treat small trapped unequal-mass two-component Fermi gases at unitarity within a non-perturbative microscopic framework and investigate the system properties as functions of the mass ratio $\kappa$, and the numbers $N_{1}$ and $N_2$ of…

Quantum Gases · Physics 2015-05-19 D. Blume , K. M. Daily

We present fully nonlinear dissipative fluid dynamics simulations of a trapped two-dimensional Fermi gas at unitarity using a Lattice Boltzmann algorithm. We are able to simulate non-harmonic trapping potentials, temperature-dependent…

Quantum Gases · Physics 2016-01-27 Jasmine Brewer , Miller Mendoza , Ryan E. Young , Paul Romatschke

The contact parameter in unitary Fermi Gases governs the short-distance, high-momentum, and high-energy properties of the system. We perform accurate quantum Monte Carlo calculations with highly optimized trial functions to precisely…

Quantum Gases · Physics 2011-04-06 S. Gandolfi , K. E. Schmidt , J. Carlson

We consider an impurity immersed in a small Fermi gas under highly-elongated harmonic confinement. The impurity interacts with the atoms of the Fermi gas through an isotropic short-range potential with three-dimensional free-space s-wave…

Quantum Gases · Physics 2015-06-17 S. E. Gharashi , X. Y. Yin , D. Blume

We investigate the entanglement properties of the nonequilibrium dynamics of one-dimensional noninteracting Fermi gases released from a trap. The gas of N particles is initially in the ground state within hard-wall or harmonic traps, then…

Statistical Mechanics · Physics 2013-05-30 Ettore Vicari

We present a measurement of the potential energy of an ultracold trapped gas of $^{40}$K atoms in the BCS-BEC crossover and investigate the temperature dependence of this energy at a wide Feshbach resonance, where the gas is in the…

Other Condensed Matter · Physics 2009-02-20 J. T. Stewart , J. P. Gaebler , C. A. Regal , D. S. Jin

Lithium is an important element in atomic quantum gas experiments because its interactions are highly tunable, due to broad Feshbach resonances and zero-crossings, and because it has two stable isotopes, $^6$Li, a fermion, and $^7$Li, a…

Atomic Physics · Physics 2020-01-24 Randall G. Hulet , Jason H. V. Nguyen , Ruwan Senaratne

We calculate Bardeen-Cooper-Schrieffer (BCS) state of a unitary Fermi gas of atoms interacting with the finite-ranged Jost-Kohn potential which has been recently shown to account for the resonant interactions [2019 {\rm J. Phys. B: At. Mol.…

Quantum Gases · Physics 2021-11-05 Subhanka Mal , Bimalendu Deb

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

When gas molecules collide, they accelerate, and therefore encounter the Fulling-Davies-Unruh and Moore-DeWitt effects. The size of these effects is sufficient to randomize the motion of the gas molecules after about 1 nanosecond at…

Quantum Physics · Physics 2024-03-28 Andrew M. Steane

For calculating low-energy properties of a dilute gas of atoms interacting via a Feshbach resonance, we develop an effective theory in which the parameters that enter are an atom-molecule coupling strength and the magnetic moment of the…

Statistical Mechanics · Physics 2009-11-10 G. M. Bruun , C. J. Pethick

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

In recent years Quantum Monte Carlo techniques provided to be a valuable tool to study strongly interacting Fermi gases at zero temperature. We have used QMC methods to investigate several properties of the two-components Fermi gas at…

Quantum Gases · Physics 2015-06-18 Stefano Gandolfi

We consider translation invariant quantum systems in thermodynamic limit. We argue that their energy-momentum spectra should have shapes consistent with effective models involving quasiparticles. Our main example is second quantized…

Mathematical Physics · Physics 2012-06-04 Jan Dereziński , Krzysztof A. Meissner , Marcin Napiórkowski

This is a chapter for a book. The first paragraph of this chapter is as follows: "Ultracold quantum gases offer a wonderful playground for quantum many body physics, as experimental systems are widely controllable, both statically and…

Quantum Gases · Physics 2015-05-18 Lincoln D. Carr , Rina Kanamoto , Masahito Ueda

We present a unified picture of the interaction effects in dilute atomic quantum gases. We consider fermionic as well as bosonic gases and, in particular, discuss for both forms of statistics the fundamental differences between a gas with…

Condensed Matter · Physics 2007-05-23 H. T. C. Stoof , M. Bijlsma , M. Houbiers

We present results from Monte Carlo calculations investigating the properties of the homogeneous, spin-balanced unitary Fermi gas in three dimensions. The temperature is varied across the superfluid transition allowing us to determine the…

Quantum Gases · Physics 2016-05-05 Olga Goulko , Matthew Wingate

Recently universal dynamic scaling is observed in several systems, which exhibit a spatiotemporal self-similar scaling behavior, analogous to the spatial scaling near phase transitions. The latter arises from the emergent continuous scaling…

Quantum Gases · Physics 2023-08-28 Jia-nan Cui , Zhengqiang Zhou , Mingyuan Sun

We study the thermal evolution of a highly spin-imbalanced, homogeneous Fermi gas with unitarity limited interactions, from a Fermi liquid of polarons at low temperatures to a classical Boltzmann gas at high temperatures. Radio-frequency…

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