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This article is devoted to the study of two-dimensional Bose gases harmonically confined. We first summarize their equilibrium properties. For such a gas above the critical temperature, we also derive the frequencies and the damping of the…

Other Condensed Matter · Physics 2015-06-24 David Guery-Odelin , Thierry Lahaye

We investigate dipole modes in a trapped Bose--Fermi mixture gas in the normal phase, composed of single-species bosons and single-species fermions with $s$-wave scattering. In the extremely low temperature regime, Bose--Einstein statistics…

Quantum Gases · Physics 2020-01-31 Yoji Asano , Shohei Watabe , Tetsuro Nikuni

The predictions of a class of phenomenological trap models of supercooled liquids are tested via computer simulation of a model glass-forming liquid. It is found that a model with a Gaussian distribution of trap energies provides a good…

Soft Condensed Matter · Physics 2007-05-23 R. Aldrin Denny , David R. Reichman , Jean-Philippe Bouchaud

We examine a dilute two-component atomic Fermi gas trapped in a harmonic potential in the superfluid phase. For experimentally realistic parameters, the trapping potential is shown to have crucial influence on various properties of the gas.…

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

A unitary Fermi gas has a surprisingly rich spectrum of large amplitude modes of the pairing field alone, which defies a description within a formalism involving only a reduced set of degrees of freedom, such as quantum hydrodynamics or a…

Statistical Mechanics · Physics 2009-02-25 Aurel Bulgac , Sukjin Yoon

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

We analyze the ground state of the two--component gas of trapped ultracold fermionic atoms. We neglect the forces between atoms in the same hyperfine state (the same component). For the case when the forces between distinguishable atoms…

Soft Condensed Matter · Physics 2009-11-10 Tomasz Karpiuk , Miroslaw Brewczyk , Kazimierz Rzazewski

This article gives an overview of recent theoretical and experimental findings concerning the hydrodynamic interaction between liquid-embedded particles in various confined geometries. A simple unifying description emerges, which accounts…

Soft Condensed Matter · Physics 2009-04-12 Haim Diamant

Thermodynamic properties of matter are conveniently expressed as functional relations between variables known as equations of state. Here we experimentally determine the compressibility, density and pressure equations of state for an…

Quantum Gases · Physics 2016-02-12 K. Fenech , P. Dyke , T. Peppler , M. G. Lingham , S. Hoinka , H. Hu , C. J. Vale

I study vortex ring oscillations in a superfluid, trapped in an elongated trap, under the conditions of the Local Density Approximation. On the basis of the Hamiltonian formalism I develop a hydrodynamic theory, which is valid for an…

Quantum Gases · Physics 2013-11-20 Lev P. Pitaevskii

The thermodynamics framework of an interacting quantum gas trapped by an arbitrary external potential is reviewed. We show that for each confining potential, in the thermodynamic limit, there emerge "generalized" volume and pressure…

Statistical Mechanics · Physics 2016-08-14 Nadia Sandoval-Figueroa , Víctor Romero-Rochín

We present a theoretical study of the collective excitations of a trapped imbalanced fermion gas at unitarity, when the system consists of a superfluid core and a normal outer shell. We formulate the relevant boundary conditions and treat…

Other Condensed Matter · Physics 2008-04-08 Achilleas Lazarides , Bert Van Schaeybroeck

Motivated by current interest in the dynamics of trapped quantum gases, we study the microcanonical dynamics of a trapped one-dimensional gas of classical particles interacting via a finite-range repulsive force of tunable strength. We…

Statistical Mechanics · Physics 2018-08-01 Zhiyu Dong , R. Moessner , Masudul Haque

We use hydrodynamic equations to study the formation of Faraday waves in a superfluid Fermi gas at zero temperature confined in a strongly elongated cigar-shaped trap. First, we treat the role of the radial density profile in the limit of…

Other Condensed Matter · Physics 2009-04-07 P. Capuzzi , P. Vignolo

We discuss the ground state and the small-amplitude excitations of a degenerate vapour of fermionic atoms placed in two hyperfine states inside a spherical harmonic trap. An equations-of-motion approach is set up to discuss the hydrodynamic…

Statistical Mechanics · Physics 2009-10-31 M. Amoruso , I. Meccoli , A. Minguzzi , M. P. Tosi

Very different strongly interacting quantum systems such as Fermi gases, quark-gluon plasmas formed in high energy ion collisions and black holes studied theoretically in string theory are known to exhibit quantitatively similar damping of…

Quantum Gases · Physics 2016-09-28 H. Bantilan , J. T. Brewer , T. Ishii , W. E. Lewis , P. Romatschke

We show that bimodal radio frequency spectra universally arise at intermediate temperatures in models of strongly interacting trapped Fermi gases. The bimodality is independent of superfluidity or pseudogap physics, depending only on the…

Other Condensed Matter · Physics 2009-11-13 Erich J. Mueller

We show how Fermi liquid theory can be applied to ultra-cold Fermi gases, thereby expanding their "simulation" capabilities to a class of problems of interest to multiple physics sub-disciplines. We introduce procedures for measuring and…

Quantum Gases · Physics 2014-11-20 Chih-Chun Chien , K. Levin

We discuss thermodynamic properties of harmonically trapped imperfect quantum gases. The spatial inhomogeneity of these systems imposes a redefinition of the mean-field interparticle potential energy as compared to the homogeneous case. In…

Quantum Gases · Physics 2019-10-16 Krzysztof Mysliwy , Marek Napiorkowski

We calculate the frequencies of the Tkachenko oscillations of a vortex lattice in a harmonically trapped superfluid Fermi gas. We use the elasto-hydrodynamic theory by properly accounting for the elastic constants, the Thomas-Fermi density…

Other Condensed Matter · Physics 2009-07-01 Gentaro Watanabe , Marco Cozzini , Sandro Stringari