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Related papers: Dynamical mean-field approximation for unitary Fer…

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Dilute gases of 2-component fermions are of great interest in atomic and nuclear physics. When interactions are strong enough so that a bound state is at threshold, universal behavior is expected. Lattice field theory provides a first…

Statistical Mechanics · Physics 2016-08-31 Matthew Wingate

We study the attractive Hubbard model with mass imbalance to clarify low temperature properties of the fermionic mixtures in the optical lattice. By combining dynamical mean-field theory with the continuous-time quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2012-05-07 Nayuta Takemori , Akihisa Koga

A unitary Fermi gas has a surprisingly rich spectrum of large amplitude modes of the pairing field alone, which defies a description within a formalism involving only a reduced set of degrees of freedom, such as quantum hydrodynamics or a…

Statistical Mechanics · Physics 2009-02-25 Aurel Bulgac , Sukjin Yoon

We present a massively parallel quantum Monte Carlo based implementation of real-space dynamical mean-field theory for general inhomogeneous correlated fermionic lattice systems. As a first application, we study magnetic order in a binary…

Quantum Gases · Physics 2010-12-16 N. Blümer , E. V. Gorelik

Atomic Fermi gases have been an ideal platform for simulating conventional and engineering exotic physical systems owing to their multiple tunable control parameters. Here we investigate the effects of mixed dimensionality on the superfluid…

Quantum Gases · Physics 2017-10-12 Leifeng Zhang , Yanming Che , Jibiao Wang , Qijin Chen

Finite-temperature, grand-canonical computations based on field theory are widely applied in areas including condensed matter physics, ultracold atomic gas systems, and lattice gauge theory. However, these calculations have computational…

Strongly Correlated Electrons · Physics 2019-10-02 Yuan-Yao He , Hao Shi , Shiwei Zhang

In a recent experiment [M. Feld et al., Nature 480, 75 (2011); B. Froehlich et al., Phys. Rev. Lett. 109,130403 (2012)], a pairing gap was detected in a two-dimensional (2D) Fermi gas with attractive interaction at temperatures where…

Quantum Gases · Physics 2015-02-11 F. Marsiglio , P. Pieri , A. Perali , F. Palestini , G. C. Strinati

We study the single-particle spectral function of resonantly-interacting fermions in the unitary regime, as described by the three-dimensional attractive Hubbard model in the dilute limit. Our approach, based on the Dynamical Cluster…

Quantum Gases · Physics 2013-05-29 Shi-Quan Su , Daniel E. Sheehy , Juana Moreno , Mark Jarrell

A detailed description is given of the phase diagram for a two-component unitary Fermi gas with mass and population imbalance, for both homogeneous and trapped systems. This aims at providing quantitative benchmarks for the…

Quantum Gases · Physics 2021-02-17 M. Pini , P. Pieri , R. Grimm , G. Calvanese Strinati

We develop a generalized gradient expansion of the inhomogeneous dynamical mean-field theory method for determining properties of ultracold atoms in a trap. This approach goes beyond the well-known local density approximation and at higher…

Quantum Gases · Physics 2016-08-17 J. K. Freericks , Shuyang Han , Karlis Mikelsons , H. R. Krishnamurthy

We calculate the normal mass density of a paired Fermi gas at unitarity. The dominant contribution near the superfluid transition is from fermionic quasiparticle excitations, and is thus sensitive to the pairing gap. A comparison with the…

Quantum Gases · Physics 2013-10-25 Gordon Baym , C. J. Pethick

We propose a formalism to take account of the correction of the spatial fluctuations to the local self-energy obtained by the dynamical mean-field approximation. For this purpose, the approximate dynamical susceptibility in the framework of…

Strongly Correlated Electrons · Physics 2009-11-11 Hiroaki Kusunose

Lattice field theory is a useful tool for studying strongly interacting theories in condensed matter physics. A prominent example is the unitary Fermi gas: a two-component system of fermions interacting with divergent scattering length.…

Quantum Gases · Physics 2011-03-23 Olga Goulko , Matthew Wingate

We study the system of a dilute gas of fermions in 3-dimensions, with attractive interactions tuned to the unitarity point, using the non-perturbative Restricted Path Integral Monte Carlo (R-PIMC) method. The pairing and superfluid…

Statistical Mechanics · Physics 2009-11-11 Vamsi K. Akkineni , D. M. Ceperley , Nandini Trivedi

Using many-body techniques we obtain the time-dependent Gaussian approximation for interacting fermion-scalar field models. This method is applied to an uniform system of relativistic spin-1/2 fermion field coupled, through a Yukawa term,…

High Energy Physics - Theory · Physics 2009-10-31 E. R. Takano Natti , Chi-Yong Lin , A. F. R de Toledo Piza , P. L. Natti

We present a coupled pair approach for studying few-body physics in harmonically trapped ultracold gases. The method is applied to a two-component Fermi system of $N$ particles. A stochastically variational gaussian expansion method is…

Quantum Gases · Physics 2014-08-27 C. J. Bradly , B. C. Mulkerin , A. M. Martin , H. M. Quiney

I review results concerning the derivation of effective equations for the dynamics of interacting Fermi gases in a high-density regime of mean-field type. Three levels of effective theories, increasing in precision, can be distinguished:…

Mathematical Physics · Physics 2022-08-17 Niels Benedikter

We study the one-dimensional Fermi gas subject to dissipative reactions. The dynamics is governed by the quantum master equation, where the Hamiltonian describes coherent motion of the particles, while dissipation accounts for irreversible…

Statistical Mechanics · Physics 2026-04-06 Hannah Lehr , Igor Lesanovsky , Gabriele Perfetto

We study the thermodynamic properties of four-component fermionic mixtures described by the Hubbard model using the dynamical mean-field-theory approach. Special attention is given to the system with SU(4)-symmetric interactions at half…

Quantum Gases · Physics 2017-03-09 A. Golubeva , A. Sotnikov , A. Cichy , J. Kuneš , W. Hofstetter

A dilute homogeneous 3D Fermi gas in the ground state is considered for the case of a repulsive pairwise interaction. The low-density (dilution) expansions for the kinetic and interaction energies of the system in question are calculated up…

Statistical Mechanics · Physics 2009-11-10 A. A. Shanenko