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Using many-body results available from diagrammatic and {\it ab initio} Monte Carlo calculations we analyze the phase diagram $\mu=(\mu_{\uparrow}+\mu_{\downarrow})/2$ versus $h=(\mu_{\uparrow}-\mu_{\downarrow})/2$ of a unitary Fermi gas at…

Other Condensed Matter · Physics 2009-05-13 I. Bausmerth , A. Recati , S. Stringari

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

We investigate the phase structure of spin-imbalanced unitary Fermi gases beyond mean-field theory by means of the Functional Renormalization Group. In this approach, quantum and thermal fluctuations are resolved in a systematic manner. The…

Quantum Gases · Physics 2015-01-26 I. Boettcher , J. Braun , T. K. Herbst , J. M. Pawlowski , D. Roscher , C. Wetterich

We compute the phase diagram of strongly interacting fermions in one dimension at finite temperature, with mass and spin imbalance. By including the possibility of the existence of a spatially inhomogeneous ground state, we find regions…

Quantum Gases · Physics 2015-06-17 Dietrich Roscher , Jens Braun , Joaquín E. Drut

We investigate the superfluid-to-normal zero temperature quantum phase transitions of asymmetric two-component Fermi gases as a function of the chemical potential imbalance $h$. The calculations are performed for homogeneous and trapped…

Quantum Gases · Physics 2020-04-22 Heron Caldas

We consider a quasi-one-dimensional model of a two-component Fermi gas at zero temperature on one, two and three-leg attractive-U Hubbard ladders. We construct the grand canonical phase diagram of a two-component spin-polarized gas. We find…

Quantum Gases · Physics 2019-05-01 E. Burovski , R. Sh. Ikhsanov , A. A. Kuznetsov , M. Yu. Kagan

We investigate thermodynamics and quantum criticality of strongly attractive Fermi gases confined in a one-dimensional (1D) harmonic trap. Finite temperature density profiles, entropy, compressibility and susceptibility of the trapped gas…

Quantum Gases · Physics 2015-03-17 Xiangguo Yin , Xi-Wen Guan , Shu Chen , Murray T Batchelor

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 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

We propose a phenomenological approach for the equation of state of a unitary Fermi gas. The universal equation of state is parametrised in terms of Fermi-Dirac integrals. This reproduces the experimental data over the accessible range of…

Statistical Mechanics · Physics 2017-08-02 M. V. N. Murthy , M. Brack , R. K. Bhaduri

From sand piles to electrons in metals, one of the greatest challenges in modern physics is to understand the behavior of an ensemble of strongly interacting particles. A class of quantum many-body systems such as neutron matter and cold…

Quantum Gases · Physics 2010-06-01 Sylvain Nascimbène , Nir Navon , Kaijun Jiang , Frédéric Chevy , Christophe Salomon

We simulate the dilute attractive Fermi-Hubbard model in the unitarity regime using a diagrammatic determinant Monte Carlo algorithm with worm-type updates. We obtain the dependence of the critical temperature on the filling factor $\nu$…

Superconductivity · Physics 2009-04-08 Evgeni Burovski , Nikolay Prokof'ev , Boris Svistunov , Matthias Troyer

We investigate the phase diagram of a two-component repulsive Fermi gas at T=0 by means of quantum Monte Carlo simulations. For a given value of the positive s-wave scattering length, both purely repulsive and purely attractive model…

Quantum Gases · Physics 2015-05-18 S. Pilati , G. Bertaina , S. Giorgini , M. Troyer

We investigated possible superfluid phases at finite temperature in a two-component Fermi gas with density imbalance. In the frame of a general four-fermion interaction theory, we solved in the BCS region the gap equations for the pairing…

Superconductivity · Physics 2016-08-31 Lianyi He , Meng Jin , Pengfei Zhuang

The equation of state of the partially polarized two component Fermi gas at zero temperature in the unitary limit is computed by {\it ab initio} auxiliary field Monte Carlo method. We obtain the critical ratio of the chemical potentials…

Atomic Physics · Physics 2009-11-13 S. Y. Chang

Fermi gases in strongly coupled regimes, such as the unitary limit, are inherently challenging for many-body methods. Although much progress has been made with purely analytic methods, quantitative results require ab initio numerical…

Statistical Mechanics · Physics 2015-06-16 Dietrich Roscher , Jens Braun , Jiunn-Wei Chen , Joaquín E. Drut

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 analyze the phase structure of mass- and spin-imbalanced unitary Fermi gases in harmonic traps. To this end, we employ Density Functional Theory in the local density approximation. Depending on the values of the control parameters…

Quantum Gases · Physics 2015-06-18 Jens Braun , Joaquín E. Drut , Thomas Jahn , Martin Pospiech , Dietrich Roscher

We propose a phase diagram for a cold polarized atomic Fermi gas with zero-range interaction. We identify four main phases in the plane of density and polarization: the superfluid phase, the normal phase, the gapless superfluid phase, and…

Other Condensed Matter · Physics 2007-05-23 D. T. Son , M. A. Stephanov

We theoretically study the pairing behavior of the unitary Fermi gas in the normal phase. Our analysis is based on the static spin susceptibility, which characterizes the response to an external magnetic field. We obtain this quantity by…

Quantum Gases · Physics 2021-04-28 Lukas Rammelmüller , Yaqi Hou , Joaquín E. Drut , Jens Braun
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