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Finite temperature density functional theory provides, in principle, an exact description of the thermodynamical equilibrium of many-electron systems. In practical applications, however, the functionals must be approximated. Efficient and…

Statistical Mechanics · Physics 2015-05-19 S. Pittalis , C. R. Proetto , A. Floris , A. Sanna , C. Bersier , K. Burke , E. K. U. Gross

We compute the frequency-dependent shear and bulk viscosity spectral functions of an interacting Fermi gas in a quantum virial expansion up to second quadratic order in the fugacity parameter $z=e^{\beta \mu}$, which is small at high…

Quantum Gases · Physics 2020-01-22 Johannes Hofmann

We study the effect of thermal and quantum fluctuations on the dynamical response of a one-dimensional strongly-interacting Bose gas in a tight atomic waveguide. We combine the Luttinger liquid theory at arbitrary interactions and the exact…

Quantum Gases · Physics 2015-06-18 Guillaume Lang , Frank Hekking , Anna Minguzzi

We study the thermodynamical properties of Fermi vapors confined in a harmonic external potential. In the case of the ideal Fermi gas, we compare exact density profiles with their semiclassical approximation in the conditions of recent…

Statistical Mechanics · Physics 2009-10-31 L. Salasnich , B. Pozzi , A. Parola , L. Reatto

We investigate dynamical properties of a one-component Fermi gas with dipole-dipole interaction between particles. Using a variational function based on the Thomas-Fermi density distribution in phase space representation, the total energy…

Other Condensed Matter · Physics 2011-04-12 T Sogo , L He , T Miyakawa , S Yi , H Lu , H Pu

We theoretically study finite temperature properties of interacting fermion systems under geometrical frustration in the charge degree of freedom. Physical quantities such as charge structure factors, the specific heat, and the entropy, of…

Strongly Correlated Electrons · Physics 2020-02-27 Kazuyoshi Yoshimi , Makoto Naka , Hitoshi Seo

We consider the finite-temperature frequency and momentum dependent two-point functions of local operators in integrable quantum field theories. We focus on the case where the zero temperature correlation function is dominated by a…

Strongly Correlated Electrons · Physics 2015-05-13 F. H. L. Essler , R. M. Konik

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

Intrinsic discrete nature in thermodynamic properties of Fermi gases appears under strongly confined and degenerate conditions. For a rectangular confinement domain, thermodynamic properties of an ideal Fermi gas are expressed in their…

Quantum Gases · Physics 2016-02-24 Alhun Aydin , Altug Sisman

We extend to finite temperature a Green's function method that was previously proposed to evaluate ground-state properties of mesoscopic clouds of non-interacting fermions moving under harmonic confinement in one dimension. By calculations…

Statistical Mechanics · Physics 2009-11-07 Z. Akdeniz , P. Vignolo , A. Minguzzi , M. P. Tosi

We investigate the stability and the free expansion of a trapped dipolar Fermi gas. We show that stabilizing the system relying on tuning the trap geometry is generally inefficient. We further show that the expanded density profile always…

Other Condensed Matter · Physics 2009-11-13 L. He , J. -N. Zhang , Yunbo Zhang , S. Yi

The entanglement entropy of free fermions with a Fermi surface is known to obey a logarithmic scaling and violate the area law in all dimensions. Here, we would like to see how temperature affects the logarithmic scaling behavior. To this…

Statistical Mechanics · Physics 2019-06-11 Hassan Shapourian , Shinsei Ryu

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 address the problem of calculating finite-temperature response functions of an experimentally relevant low-dimensional strongly-correlated system: the integrable 1D Bose gas with repulsive \delta-function interaction (Lieb-Liniger…

Quantum Gases · Physics 2014-03-10 Miłosz Panfil , Jean-Sébastien Caux

We present a systematic characterization of the radio frequency (RF) spectra of homogeneous, paired atomic Fermi gases at finite temperatures, $T$, in the presence of final state interactions. The spectra, consisting of possible bound…

Superconductivity · Physics 2011-09-13 Yan He , Chih-Chun Chien , Qijin Chen , K. Levin

We study normal state properties of an interacting Fermi gas in an isotropic harmonic trap of arbitrary dimensions. We exactly calculate the first-order perturbation terms in the ground state energy and chemical potential, and obtain simple…

Statistical Mechanics · Physics 2009-11-07 Hiroyuki Yoshimoto , Susumu Kurihara

We investigate the ground state properties of a one-dimensional two-component ultra-cold Fermi gas in an infinite potential well. Exact Bethe ansatz solution is used to calculate the many-body wave function of the system. Then we evaluate…

Statistical Mechanics · Physics 2008-07-15 Bo-Bo Wei , Jun-Peng Cao , Shi-Jian Gu , Hai-Qing Lin

The recently discovered universal thermodynamic behaviour of dilute, strongly interacting Fermi gases also implies a universal structure in the many-body pair-correlation function at short distances, as quantified by the contact ${\cal I}$.…

Quantum Gases · Physics 2011-07-06 Hui Hu , Xia-Ji Liu , Peter D. Drummond

The equation of state of a dilute two-component asymmetric Fermi gas at unitarity is subject to strong constraints, which affect the spatial density profiles in atomic traps. These constraints require the existence of at least one…

Superconductivity · Physics 2008-11-26 Aurel Bulgac , Michael McNeil Forbes

We have considered the orbital-free approximation of the kinetic energy functional to investigate the zero temperature properties of dilute harmonically trapped two component Fermi gas at unitarity. It is shown that our approach provides a…

Quantum Gases · Physics 2015-05-13 Alexander L. Zubarev , Michael Zoubarev