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The hydrodynamic low-frequency oscillations of highly degenerate Fermi gases trapped in anisotropic harmonic potentials are investigated. Despite the lack of an obvious spatial symmetry the wave-equation turns out to be separable in…

Soft Condensed Matter · Physics 2009-10-31 András Csordás , Robert Graham

Using a quantum Boltzmann equation framework, we analyse the nature of generic low-energy deformations of a critical Fermi surface, which exists at the non-Fermi liquid fixed point of a system consisting of fermions interacting with…

Strongly Correlated Electrons · Physics 2023-07-25 Kazi Ranjibul Islam , Ipsita Mandal

We consider the low energy collective mode spectrum of a superfluid Fermi gas in a spherical trap in the collisionless regime. Using a self-consistent random-phase approximation, the effects of superfluidity on modes of dipole and…

Condensed Matter · Physics 2009-11-07 G. M. Bruun , B. R. Mottelson

We investigate within density functional theory various physical properties of the zero-temperature unitary Fermi gas which critically depend on the presence of a dispersive gradient term in the equation of state. First, we consider the…

Quantum Gases · Physics 2013-04-23 F. Ancilotto , L. Salasnich , F. Toigo

Recent developments in electron hydrodynamics have demonstrated the importance of considering the full structure of the electron-electron scattering operator, which encodes a sequence of lifetimes, one for each component of the Fermi…

Strongly Correlated Electrons · Physics 2025-10-08 Davis Thuillier , Sayak Ghosh , B. J. Ramshaw , Thomas Scaffidi

We study the equilibrium properties of a dipolar Fermi gas at finite temperatures. We introduce a variational ansatz for the phase-space distribution function that can describe the deformation in both real and momentum space. The effect of…

Other Condensed Matter · Physics 2015-05-18 Yuki Endo , Takahiko Miyakawa , Tetsuro Nikuni

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

Under the framework of the semiclassical theory, we investigate the equilibrium-state properties of a spin polarized dipolar Fermi gas through full numerical calculation. We show that the Fermi surfaces in both real and momentum spaces are…

Quantum Gases · Physics 2009-11-18 J. -N. Zhang , S. Yi

In a dipolar Fermi gas, the dipole-dipole interaction between fermions can be turned into a dipolar Ising interaction between pseduospins in the presence of an AC electric field. When trapped in a 2D optical lattice, such a dipolar Fermi…

Quantum Gases · Physics 2015-05-28 Bo Liu , Lan Yin

We precisely test scale invariance and local thermal equilibrium in the hydrodynamic expansion of a Fermi gas of atoms as a function of interaction strength. After release from an anisotropic optical trap, we observe that a resonantly…

Quantum Gases · Physics 2014-02-19 E. Elliott , J. A. Joseph , J. E. Thomas

We theoretically investigate the spin-dipole oscillation of a strongly interacting Fermi gas in a harmonic trap. By using a combined diagrammatic strong-coupling theory with a local density approximation and a sum rule approach, we clarify…

Quantum Gases · Physics 2020-01-22 Hiroyuki Tajima , Alessio Recati , Yoji Ohashi

In this article, we investigate mean field effects for a bosonic gas harmonically trapped above the transition temperature in the collisionless regime. We point out that those effects can play also a role in low dimensional system. Our…

Statistical Mechanics · Physics 2016-08-31 D. Guery-Odelin

We theoretically investigate various beyond mean-field effects on Bose gases at zero temperature featuring the anisotropic and long-range dipole-dipole interaction in addition to the isotropic and short-range contact interaction. Within the…

Quantum Gases · Physics 2012-12-18 Aristeu R. P. Lima , Axel Pelster

We analyze several puzzling features of a recent experiment with a noninteracting gas of atoms in a quadrupole trap. After an initial momentum kick, the system reaches a stationary, quasi-thermal state even without collisions, due to the…

We have carried out a comprehensive investigation of the quasiparticle properties of a two-dimensional electron gas, interacting via the long-range Coulomb interaction, in the presence of bare mass anisotropy (i.e. with an elliptic…

Mesoscale and Nanoscale Physics · Physics 2021-01-12 Seongjin Ahn , S. Das Sarma

Dynamical properties of homogeneous Fermi-Fermi mixtures of dipolar and non-dipolar atoms are studied at zero temperature, where dipoles are polarized by an external field. We calculate the density-density correlation functions in a…

Quantum Gases · Physics 2024-04-24 Takahiko Miyakawa , Eiji Nakano , Hiroyuki Yabu

Hydrodynamic flow in two-dimensional electron systems has so far been probed only by dc transport and scanning gate microscopy measurements. In this work we discuss theoretically signatures of the hydrodynamic regime in near-field optical…

Recent experiments in a mixture of two hyperfine states of trapped Bose gases show behavior analogous to a spin-1/2 system, including transverse spin waves and other familiar Leggett-Rice-type effects. We have derived the kinetic equations…

Other Condensed Matter · Physics 2009-11-11 W. J. Mullin , R. J. Ragan

An impurity atom immersed in an ultracold atomic Fermi gas can form a quasiparticle, so-called Fermi polaron, due to impurity-fermion interaction. We consider a three-dimensional homogeneous dipolar Fermi gas as a medium, where the…

We consider a cold gas of non-interacting fermions in a two dimensional harmonic trap with two different trapping frequencies $\omega_x \leq \omega_y$, and discuss the effect of rotation on the density profile. Depending on the rotation…

Quantum Gases · Physics 2015-05-14 N. Ghazanfari , M. O. Oktel