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We present a high-precision determination of the universal contact parameter in a strongly interacting Fermi gas. In a trapped gas at unitarity we find the contact to be $3.06 \pm 0.08$ at a temperature of 0.08 of the Fermi temperature in a…

We present measurements of the dynamical structure factor $S(q,\omega)$ of an interacting one-dimensional (1D) Fermi gas for small excitation energies. We use the two lowest hyperfine levels of the $^6$Li atom to form a pseudo-spin-1/2…

Atomic Physics · Physics 2018-09-12 T. L. Yang , P. Grišins , Y. T. Chang , Z. H. Zhao , C. Y. Shih , T. Giamarchi , R. G. Hulet

We investigate the dynamical properties of a trapped finite-temperature normal Fermi gas with dipole-dipole interaction. For the free expansion dynamics, we show that the expanded gas always becomes stretched along the direction of the…

Quantum Gases · Physics 2015-05-27 J. -N. Zhang , R. -Z. Qiu , L. He , S. Yi

We obtain an exact analytic expression for the dynamical structure factor of one-dimensional quantum gas of hard rods. Our result is valid for arbitrary many-body state of the system, with finite temperature states and the ground state…

Quantum Gases · Physics 2026-01-22 Oleksandr Gamayun , Miłosz Panfil

The measurement of the pairing gap plays an essential role in studying the physical properties of superconductors or superfluids. We develop a strategy for measure the pairing gap through the dynamical excitations. With the random phase…

Quantum Gases · Physics 2025-07-01 Huaisong Zhao , Feng Yuan , Tianxing Ma , Peng Zou

We present two methods for computing the dynamic structure factor for warm dense hydrogen without invoking either the Born-Oppenheimer approximation or the Chihara decomposition, by employing a wave-packet description that resolves the…

A detailed calculation of the coherent and incoherent dynamic structure functions of the free Fermi gas, starting from their expressions in terms of the one- and semi-diagonal two-body density matrices, is derived and discussed. Their…

Soft Condensed Matter · Physics 2009-10-31 F. Mazzanti , A. Polls , J. Boronat

We consider a Fermi gas confined by a harmonic trapping potential and we highlight the role of the Fermi-Dirac statistics by studying frequency and damping of collective oscillations of quadrupole type in the framework of the quantum…

Condensed Matter · Physics 2007-05-23 L. Vichi

A detailed discussion of the coherent and incoherent dynamic structure function of the free Fermi gas at finite temperature is presented. Their behavior and evolution with the momentum transfer and the temperature is analyzed, while…

Soft Condensed Matter · Physics 2009-10-31 F. Mazzanti , A. Polls

Dipole oscillation is studied in a normal phase of a trapped Bose--Fermi-mixture gas composed of single-species bosons and single-species fermions. Applying the moment method to the linearized Boltzmann equation, we derive a closed set of…

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

We study the dynamic structure factor for density and spin within the crossover from BCS superfluidity of atomic fermions to the Bose-Einstein condensation of molecules. Both structure factors are experimentally accessible via Bragg…

Statistical Mechanics · Physics 2009-11-10 H. P. Büchler , P. Zoller , W. Zwerger

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

The dielectric response and structural properties of finite-temperature electron liquids are central to accurately describing the physical behavior of electronic systems. This study presents a robust analytical model for the static…

Plasma Physics · Physics 2026-03-19 Chengliang Lin , Yong Hou , Jianmin Yuan , Yong Wu , Jianguo Wang

We examine the collisional behavior of two-component Fermi gases released at zero temperature from a harmonic trap. Using a phase-space formalism to calculate the collision rate during expansion, we find that Pauli blocking plays only a…

Soft Condensed Matter · Physics 2011-07-19 Subhadeep Gupta , Zoran Hadzibabic , James R. Anglin , Wolfgang Ketterle

Static and dynamical structure factors for shear and longitudinal modes of the velocity and density fields are computed for a granular system fluidized by a stochastic bath with friction. Analytical expressions are obtained through…

Statistical Mechanics · Physics 2015-05-28 Giacomo Gradenigo , Alessandro Sarracino , Dario Villamaina , Andrea Puglisi

The zero-temperature dynamical structure factor $S(q,\omega)$ of one-dimensional hard rods is computed using state-of-the-art quantum Monte Carlo and analytic continuation techniques, complemented by a Bethe Ansatz analysis. As the density…

Other Condensed Matter · Physics 2016-10-19 M. Motta , E. Vitali , M. Rossi , D. E. Galli , G. Bertaina

Based on ideas introduced in a previous preprint cond-mat/9701206 we propose an exactly solvable model of bosons interacting amongst themselves via a Van-der Waal-like repulsive interaction, and compute both the filling fraction and the…

Condensed Matter · Physics 2008-02-03 Girish S. Setlur

By calculating the dynamical structure factor of a two-dimensional (2D) Fulde-Ferrell superfluid system, the anisotropic dynamical excitations are studied systematically using random phase approximation (RPA). Our calculation results not…

Quantum Gases · Physics 2025-04-28 Jinrui Ru , Yanxiang Zhu , Shuning Tan , Huaisong Zhao

Understanding the dynamic properties of the uniform electron gas (UEG) is important for numerous applications ranging from semiconductor physics to exotic warm dense matter. In this work, we apply the maximum entropy method (MEM), as…

Strongly Correlated Electrons · Physics 2025-09-19 Thomas Chuna , Nicholas Barnfield , Jan Vorberger , Michael P. Friedlander , Tim Hoheisel , Tobias Dornheim

We theoretically explore the crossover from three dimensions (3D) to two (2D) in a strongly interacting atomic Fermi superfluid through confining the transverse spatial dimension. Using the gaussian pair fluctuation theory, we determine the…

Quantum Gases · Physics 2017-10-18 Umberto Toniolo , Brendan C. Mulkerin , Chris J. Vale , Xia-Ji Liu , Hui Hu