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We develop a numerically exact method for the summation of irreducible Feynman diagrams for fermionic self-energy in the thermodynamic limit. The technique, based on the Diagrammatic Determinant Monte Carlo and its recent extension to…

Strongly Correlated Electrons · Physics 2019-09-11 Fedor Simkovic IV. , Evgeny Kozik

In this work we compute subleading oscillating terms in the Renyi entropy of Fermi gases and Fermi liquids corresponding to $2k_F$-like oscillations. Our theoretical tools are the one dimensional formulation of Fermi liquid entanglement…

Strongly Correlated Electrons · Physics 2016-08-23 Brian Swingle , Jeremy McMinis , Norm M. Tubman

The ideal (i.e. noninteracting), homogeneous Fermi gas, with its characteristic sharp Fermi surface in the momentum distribution, is a fundamental concept relevant to the behavior of many systems. With trapped Fermi gases of ultracold…

Quantum Gases · Physics 2012-09-10 T. E. Drake , Y. Sagi , R. Paudel , J. T. Stewart , J. P. Gaebler , D. S. Jin

We compute the shear viscosity of a two dimensional Fermi gas interacting via a short range potential with scattering length $a_{2d}$ in kinetic theory. We find that kinetic theory predicts that the shear viscosity to entropy density ratio…

Quantum Gases · Physics 2013-05-30 Thomas Schaefer

We report quantum Monte Carlo calculations of superfluid Fermi gases with short-range two-body attractive interactions with infinite scattering length. The energy of such gases is estimated to be $(0.44 \pm 0.01)$ times that of the…

Atomic Physics · Physics 2009-11-10 J. Carlson , S. Y. Chang , V. R. Pandharipande , K. E. Schmidt

In this work we examine the breathing mode of a strongly interacting two-dimensional Fermi gas and the role of temperature on the anomalous breaking of scale invariance. By calculating the equation of state with different many-body…

Quantum Gases · Physics 2018-05-23 Brendan C. Mulkerin , Xia-Ji Liu , Hui Hu

We derive the full set of universal relations for spin-polarized Fermi gases with $p$-wave interaction in two dimensions, simply using the short-range asymptotic behavior of fermion-pair wave functions. For $p$-wave interactions, an…

Quantum Gases · Physics 2019-05-23 Shi-Guo Peng

The contact parameter in unitary Fermi Gases governs the short-distance, high-momentum, and high-energy properties of the system. We perform accurate quantum Monte Carlo calculations with highly optimized trial functions to precisely…

Quantum Gases · Physics 2011-04-06 S. Gandolfi , K. E. Schmidt , J. Carlson

Recent breakthroughs in the creation of ultra-cold atomic gases in the laboratory have ushered in major changes in physical science. Many novel experiments are now possible, with an unprecedented control of interaction, geometry and purity.…

Quantum Gases · Physics 2014-11-13 Hui Hu

An exactly soluble one-dimensional model of electrons interacting with order parameter fluctations associated with short-range order is considered. The energy and momentum dependence of the electronic self energy and spectral function are…

Condensed Matter · Physics 2009-10-28 Ross H. McKenzie , David Scarratt

We investigate separations of trapped balanced two-component atomic Fermi gases with repulsive contact interaction. Candidates for ground-state densities are obtained from the imaginary-time evolution of a nonlinear pseudo-Schr\"odinger…

Quantum Gases · Physics 2016-02-17 M. I. Trappe , P. Grochowski , M. Brewczyk , K. Rzążewski

The absence of a characteristic momentum scale in the pseudo-potential description of atomic interaction in ultracold (two-component Fermi) gases is known to lead to divergence in perturbation theory. Here we show that they also plague the…

Quantum Gases · Physics 2019-06-26 Chen-How Huang , Miguel A. Cazalilla

We consider a local effective model for fermionic low lying excitations in a metal. Introducing a boson auxiliary field and taking into account that the most significant interactions between quasiparticles arise for those which are near a…

Strongly Correlated Electrons · Physics 2008-02-03 A. Ferraz , S. L. Garavelli , T. Saikawa

Strongly interacting, dilute Fermi gases exhibit a scale-invariant, universal thermodynamic behaviour. This is notoriously difficult to understand theoretically because of the absence of a small interaction parameter. Here we present a…

Quantum Gases · Physics 2010-08-25 Hui Hu , Xia-Ji Liu , Peter D. Drummond

The correlation energy of the homogeneous three-dimensional interacting electron gas is calculated using the variational and fixed-node diffusion Monte Carlo methods, with trial functions that include backflow and three-body correlations.…

Strongly Correlated Electrons · Physics 2009-10-31 Yongkyung Kwon , D. M. Ceperley , Richard M. Martin

We review theoretical aspects of unitary Fermi gas (UFG), which has been realized in ultracold atom experiments. We first introduce the epsilon expansion technique based on a systematic expansion in terms of the dimensionality of space. We…

Quantum Gases · Physics 2014-12-01 Yusuke Nishida , Dam Thanh Son

We investigate the approach to the universal regime of the dilute unitary Fermi gas as the density is reduced to zero in a lattice model. To this end we study the chemical potential, superfluid order parameter and internal energy of the…

Quantum Gases · Physics 2010-01-26 A. Privitera , M. Capone , C. Castellani

Based on random phase approximation (RPA), we numerically calculate dynamical structure factors of a balanced two-dimensional (2D) Fermi superfluid, and discuss their energy, momentum and interaction strength dependence in the 2D BEC-BCS…

Quantum Gases · Physics 2020-08-05 Huaisong Zhao , Xiaoxu Gao , Wen Liang , Peng Zou , Feng Yuan

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 consider an imbalanced mixture of two different ultracold Fermi gases, which are strongly interacting. Calling spin-down the minority component and spin-up the majority component, the limit of small relative density $x=n\ds /n\us$ is…

Quantum Gases · Physics 2012-01-05 S. Giraud , R. Combescot