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We construct a fully self-consistent Hartree-Fock-Bogoliubov theory that describes a spinless Fermi gas with long-range interaction. We apply this theory to a system of uniform dipolar fermionic polar molecules, which has attracted much…

Quantum Gases · Physics 2011-04-12 Cheng Zhao , Lei Jiang , Xunxu Liu , W. M. Liu , Xubo Zou , Han Pu

The exact solutions of a one-dimensional mixture of spinor bosons and spinor fermions with $\delta$-function interactions are studied. Some new sets of Bethe ansatz equations are obtained by using the graded nest quantum inverse scattering…

Strongly Correlated Electrons · Physics 2015-05-13 Shi-Jian Gu , Junpeng Cao , Shu Chen , Hai-Qing Lin

We show that there are qualitative differences between the temperature dependence of the spin and charge correlations in the normal state of the 2D attractive Hubbard model using quantum Monte Carlo simulations. The one-particle density of…

Condensed Matter · Physics 2009-10-22 Nandini Trivedi , Mohit Randeria

Magnetic and superconducting instabilities in the two-dimensional t-t'-Hubbard model are discussed within a functional renormalization group approach. The fermionic four-point vertex is efficiently parametrized by means of partial…

Strongly Correlated Electrons · Physics 2013-05-29 S. Friederich , H. C. Krahl , C. Wetterich

Highly polarized mixtures of atomic Fermi gases constitute a novel Fermi liquid. We demonstrate how information on thermodynamic properties may be used to calculate quasiparticle scattering amplitudes even when the interaction is resonant…

Statistical Mechanics · Physics 2008-06-19 G. M. Bruun , A. Recati , C. J. Pethick , H. Smith , S. Stringari

We study Gaussian fluctuations of the zero-temperature attractive Fermi gas in the 2D BCS-BEC crossover showing that they are crucial to get a reliable equation of state in the BEC regime of composite bosons, bound states of fermionic…

Quantum Gases · Physics 2015-01-27 L. Salasnich , F. Toigo

We consider a gas of cold fermionic atoms having two spin components with interactions characterized by their s-wave scattering length $a$. At positive scattering length the atoms form weakly bound bosonic molecules which can be…

Superconductivity · Physics 2009-11-10 L. D. Carr , G. V. Shlyapnikov , Y. Castin

We investigate the one-dimensional mixture of scalar bosons and spin polarized fermions interacting through a $\delta$-function potential. Using a thermodynamic description derived by employing a lattice embedding of the continuum model and…

Quantum Gases · Physics 2019-02-08 Ovidiu I. Patu , Andreas Klumper

The physics of the strongly interacting Hubbard chain (with $t/U \ll 1$) at finite temperatures undergoes a crossover to a spin incoherent regime when the temperature is very small relative to the Fermi energy, but larger than the…

Strongly Correlated Electrons · Physics 2014-11-05 Mohammad Soltanieh-ha , Adrian E. Feiguin

The Quantum Monte Carlo method for spin 1/2 fermions at finite temperature is formulated for dilute systems with an s-wave interaction. The motivation and the formalism are discussed along with descriptions of the algorithm and various…

Statistical Mechanics · Physics 2009-02-05 Aurel Bulgac , Joaquin E. Drut , Piotr Magierski

We apply the classical mapping technique developed recently by Dharma-wardana and Perrot for a study of the uniform two-dimensional electron system at arbitrary degeneracy and spin-polarization. Pair distribution functions, structure…

Strongly Correlated Electrons · Physics 2009-11-10 Nguyen Quoc Khanh , Hiroo Totsuji

We study the out-of-equilibrium dynamics of bosonic atoms in a 1D optical lattice, after the ground-state is excited by a single spontaneous emission event, i.e. after an absorption and re-emission of a lattice photon. This is an important…

Quantum Gases · Physics 2015-02-27 Johannes Schachenmayer , Lode Pollet , Matthias Troyer , Andrew J. Daley

This article briefly reviews recent theoretical developments in quantum critical phenomena in one-dimensional (1D) integrable quantum gases of cold atoms. We present a discussion on quantum phase transitions, universal thermodynamics,…

Quantum Gases · Physics 2015-06-22 Xiwen Guan

We perform Monte Carlo simulations of large two-dimensional Gaussian Ising spin glasses down to very low temperatures $\beta=1/T=50$. Equilibration is ensured by using a cluster algorithm including Monte Carlo moves consisting of flipping…

Disordered Systems and Neural Networks · Physics 2009-11-10 J. Houdayer , Alexander K. Hartmann

We experimentally determined various thermodynamic quantities of interacting two-component fermions at the zero-temperature limit from the Bardeen-Cooper-Schrieffer (BCS) region to the unitarity limit. The obtained results are very accurate…

We calculate the effects of two-body interactions on the low frequency oscillations of a normal Fermi gas confined in a harmonic trap. The mean field contribution to the collective frequencies is evaluated in the collisionless regime using…

Condensed Matter · Physics 2009-10-31 L. Vichi , S. Stringari

We apply a recently proposed path-integral approach to non-local bosonization to a Thirring-like system modeling non-relativistic massless particles interacting with localized fermionic impurities. We consider forward scattering processes…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Naon , M. C. von Reichenbach , M. L. Trobo

Using a non-perturbative functional renormalization group approach involving both fermionic and bosonic fields we calculate the interaction-induced change of the Fermi surface of spinless fermions moving on two chains connected by weak…

Strongly Correlated Electrons · Physics 2007-05-23 Sascha Ledowski , Peter Kopietz

We study the zero temperature properties of a trapped polarized Fermi gas at unitarity by assuming phase separation between an unpolarized superfluid and a polarized normal phase. The effects of the interaction are accounted using the…

Other Condensed Matter · Physics 2009-11-13 A. Recati , C. Lobo , S. Stringari

A fermionic model, built up of q species of localized Fermi particles, interacting by charge correlations, is isomorphic to a spin-q/2 Ising model. However, the equivalence is only formal and the two systems exhibit a different physical…

Strongly Correlated Electrons · Physics 2009-11-13 Ferdinando Mancini , Adele Naddeo
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