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A single-component Fermi gas of polarized dipolar particles in a harmonic trap can undergo a mechanical collapse due to the attractive part of the dipole-dipole interaction. This phenomenon can be conveniently manipulated by the shape of…

Condensed Matter · Physics 2007-05-23 K. Goral , M. Brewczyk , K. Rzazewski

We study theoretically the collective mode spectrum of a strongly imbalanced two-component unitary Fermi gas in a cigar-shaped trap, where the minority species forms a gas of polarons. We describe the collective breathing mode of the gas in…

Quantum Gases · Physics 2018-03-28 Johannes Hofmann , Frédéric Chevy , Olga Goulko , Carlos Lobo

The zero-temperature properties of a dilute two-component Fermi gas in the BCS-BEC crossover are investigated. On the basis of a generalization of the variational Schwinger method, we construct approximate semi-analytical formulae for…

Statistical Mechanics · Physics 2016-08-31 Yeong E. Kim , Alexander L. Zubarev

We derive the coupled equations of motion for the condensate (superfluid) and non-condensate (normal fluid) degrees of freedom in a trapped Bose gas at finite temperatures. Our results are based on the Hartree-Fock-Popov approximation for…

Condensed Matter · Physics 2009-10-30 E. Zaremba , A. Griffin , T. Nikuni

Recently, a seminal STIRAP experiment allowed the creation of 40K-87Rb molecules in the rovibrational ground state [K.-K. Ni et al., Science 322, 231 (2008)]. In order to describe such a polarized dipolar Fermi gas in the hydrodynamic…

Quantum Gases · Physics 2015-05-14 Aristeu R. P. Lima , Axel Pelster

An important tool for understanding the effects of interactions in harmonically trapped atomic gases is the examination of their collective modes. One such mode is the breathing or monopole mode, which is special as it is constrained to…

Quantum Gases · Physics 2022-01-05 Jeff Maki

Ultracold quantum-gas mixtures of fermionic atoms with resonant control of interactions offer a unique test-bed to explore few- and many-body quantum states with unconventional properties. The emergence of such strongly correlated systems,…

Quantum Gases · Physics 2025-12-16 Zhu-Xiong Ye , Alberto Canali , Chun-Kit Wong , Marian Kreyer , Emil Kirilov , Rudolf Grimm

We investigate the propagation of density and temperature waves in a cylindrically trapped gas with radial harmonic confinement. Starting from two-fluid hydrodynamic theory we derive effective 1D equations for the chemical potential and the…

Quantum Gases · Physics 2010-10-15 G. Bertaina , L. Pitaevskii , S. Stringari

The sound mode hydrodynamic dispersion relation is computed up to order $q^3$ for a class of gravitational duals which includes both Schwarzschild $AdS$ and Dp-Brane metrics. The implications for second order transport coefficients are…

High Energy Physics - Theory · Physics 2009-04-08 T. Springer

For a gas trapped in a harmonic potential, the sloshing (or Kohn) mode is undamped and its frequency coincides with the trap frequency, independently of the statistics, interaction and temperature of the gas. However, experimental trap…

Quantum Gases · Physics 2012-09-04 Pierre-Alexandre Pantel , Dany Davesne , Silvia Chiacchiera , Michael Urban

We develop a finite-temperature hydrodynamic approach for a harmonically trapped one-dimensional quasicondensate and apply it to describe the phenomenon of frequency doubling in the breathing-mode oscillations of its momentum distribution.…

Quantum Gases · Physics 2016-11-15 I. Bouchoule , S. S. Szigeti , M. J. Davis , K. V. Kheruntsyan

Within a scaling ansatz formalism plus Thomas-Fermi approximation, we investigate the collective excitations of a harmonically trapped boson-fermion mixture in the collisionless and hydrodynamic limit at low temperature. Both the monopole…

Statistical Mechanics · Physics 2009-11-07 Xia-Ji Liu , Hui Hu

We consider a Fermi gas at unitarity trapped by a highly elongated harmonic potential and solve the equations of two fluid hydrodynamics at finite temperature. The propagation of sound waves as well as the discretized solutions in the…

Quantum Gases · Physics 2013-11-04 Yan-Hua Hou , Lev P. Pitaevskii , Sandro Stringari

Exact and closed-form expressions of the particle density, the kinetic energy density, the probability current density, and the momentum distribution are derived for a coherent state of a noninteracting Fermi gas, while such a state can be…

Mesoscale and Nanoscale Physics · Physics 2008-03-21 Dae-Yup Song

We provide a joint theoretical and experimental investigation of the temperature dependence of the collective oscillations of first sound nature exhibited by a highly elongated harmonically trapped Fermi gas at unitarity, including the…

The two-fluid model is fundamental for the description of superfluidity. In the nearly-incompressible-liquid regime, it successfully describes first and second sound, corresponding, respectively, to density and entropy waves, in both liquid…

We discuss the collective modes of a trapped Bose gas in the hydrodynamic regime where atomic collisions ensure local thermal equilibrium for the distribution function. Starting from the conservation laws, in the linearized limit we derive…

Condensed Matter · Physics 2009-10-28 A. Griffin , Wen-Chin Wu , S. Stringari

Recently it was shown that the Landau-Khalatnikov two-fluid hydrodynamics describes the collision-dominated region of a trapped Bose condensate interacting with a thermal cloud. We use these equations to discuss the low frequency…

Statistical Mechanics · Physics 2009-11-10 Tetsuro Nikuni , Allan Griffin

We measure the shear viscosity in a two-component Fermi gas of atoms, tuned to a broad s-wave collisional (Feshbach) resonance. At resonance, the atoms strongly interact and exhibit universal behavior, where the equilibrium thermodynamic…

Quantum Gases · Physics 2012-01-18 C. Cao , E. Elliott , H. Wu , J. E. Thomas

We provide a description of the dynamic structure factor of a homogeneous unitary Fermi gas at low momentum and low frequency, based on the dissipative two-fluid hydrodynamic theory. The viscous relaxation time is estimated and is used to…

Quantum Gases · Physics 2018-02-14 Hui Hu , Peng Zou , Xia-Ji Liu