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We determine the energy density $\xi (3/5) n \epsilon_F$ and the gradient correction $\lambda \hbar^2(\nabla n)^2/(8m n)$ of the extended Thomas-Fermi (ETF) density functional, where $n$ is number density and $\epsilon_F$ is Fermi energy,…

Other Condensed Matter · Physics 2010-10-27 Luca Salasnich , Flavio Toigo

A mechanism of both formation of peaks in the density of states near the Fermi surface and phase instabilities of nearly ideal degenerate Fermi gas in low-dimensional optical lattices is proposed. According to this mechanism, peak formation…

Soft Condensed Matter · Physics 2007-05-23 L. A. Manakova

We obtain the phase diagram of spin-imbalanced interacting Fermi gases from measurements of density profiles of $^6$Li atoms in a harmonic trap. These results agree with, and extend, previous experimental measurements. Measurements of the…

Atomic Physics · Physics 2015-12-16 Ben A. Olsen , Melissa C. Revelle , Jacob A. Fry , Daniel E. Sheehy , Randall G. Hulet

We study low energy collective excitations in a trapped superfluid Fermi gas, that describe slow variations of the phase of the superfluid order parameter. Well below the critical temperature the corresponding eigenfrequencies turn out to…

Statistical Mechanics · Physics 2009-10-31 M. A. Baranov , D. S. Petrov

We compute analytically the distribution function P(E) for the energy E acquired by a Fermi gas after being subjected to an arbitrary time-dependent external potential (switching event). We relate the distribution function to a solution of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. Adamov , B. Mouzykantskii

We investigate the phase diagram of asymmetric two-component Fermi gases at zero temperature as a function of polarization and interaction strength. The equations of state of the uniform superfluid and normal phase are determined using…

Other Condensed Matter · Physics 2013-08-09 S. Pilati , S. Giorgini

Various features of spin-polarized Fermi gases confined in harmonic traps are discussed, taking into account possible perspectives of experimental measurements. The mechanism of the expansion of the gas is explicitly investigated and…

Condensed Matter · Physics 2009-10-31 L. Vichi , M. Inguscio , S. Stringari , G. M. Tino

In current work, we investigate the density and temperature dependence of polarization parameter; using the relativistic formalism for the electron-electron interaction within the Fermi liquid model. we calculate the spin dependent…

Statistical Mechanics · Physics 2011-03-28 H. Gholizade , D. Momeni

We study a two-dimensional Fermi gas with an attractive interaction subjected to synthetic magnetic fields, which are assumed to be mutually antiparallel for two different spin components with population imbalance. By employing the…

Quantum Gases · Physics 2019-10-28 Takaaki Anzai , Yusuke Nishida

We present detailed measurements of the frequency and damping of three different collective modes in an ultracold trapped Fermi gas of $^6$Li atoms with resonantly tuned interactions. The measurements are carried out over a wide range of…

Based on the recently developed interaction renormalization for the one-dimensional $p$-wave interaction, we study the problem of a single impurity immersed in a highly polarized Fermi sea. They interact through a narrow $p$-wave Feshbach…

Quantum Gases · Physics 2020-07-14 Yinfeng Ma , Xiaoling Cui

We consider a Fermi gas with two components of different masses, with the s-wave two-body interaction tuned to unitarity. In the range of mass ratio 8.62<M/m<13.6, it is possible for a single contact interaction between heavy fermions to…

Other Condensed Matter · Physics 2008-11-26 Yusuke Nishida , Dam Thanh Son , Shina Tan

In a recent experiment [E. Vogt et al., Phys. Rev. Lett. 108, 070404 (2012)], quadrupole and breathing modes of a two-dimensional Fermi gas were studied. We model these collective modes by solving the Boltzmann equation via the method of…

Quantum Gases · Physics 2013-11-20 Silvia Chiacchiera , Dany Davesne , Tilman Enss , Michael Urban

We investigate the influence of electron--electron interactions on the density of states of a ballistic two--dimensional electron gas. The density of states is determined nonperturbatively by means of path integral techniques allowing for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Joerg Rollbuehler , Hermann Grabert

Second-order phase transitions have no latent heat and are characterized by a change in symmetry. In addition to the conventional symmetric and anti-symmetric states under permutations of bosons and fermions, mathematical…

Quantum Gases · Physics 2017-05-22 Vladimir A. Yurovsky

We study the phase diagram of mass- and spin-imbalanced unitary Fermi gases, in search for the emergence of spatially inhomogeneous phases. To account for fluctuation effects beyond the mean-field approximation, we employ renormalization…

Quantum Gases · Physics 2015-06-11 Dietrich Roscher , Jens Braun , Joaquín E. Drut

Using ultra-high quality SiGe/Si/SiGe quantum wells at millikelvin temperatures, we experimentally compare the energy-averaged effective mass, $m$, with that at the Fermi level, $m_F$, and verify that the behaviours of these measured values…

Strongly Correlated Electrons · Physics 2017-11-08 M. Yu. Melnikov , A. A. Shashkin , V. T. Dolgopolov , S. -H. Huang , C. W. Liu , S. V. Kravchenko

We study the zero-temperature phase diagram of the 2D spin-imbalanced Fermi gas with short-ranged attractive interactions using the recently developed neural network variational Monte Carlo method with the AGPs FermiNet Ansatz. The…

Fermions in the Fermi gas obey the Pauli exclusion principle restricting any two fermions from filling the same quantum state. Strong interaction between fermions can completely change the properties of the Fermi gas. In our theoretical…

Strongly Correlated Electrons · Physics 2021-02-10 Dmitry Miserev , Jelena Klinovaja , Daniel Loss

We consider a partially spin-polarized atomic Fermi gas in a high-aspect-ratio trap, with a flux of predominantly spin-up atoms exiting the center of the trap. We argue that such a scenario can be produced by evaporative cooling, and we…

Quantum Gases · Physics 2009-12-17 Meera M. Parish , David A. Huse