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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…

统计力学 · 物理学 2009-02-05 Aurel Bulgac , Joaquin E. Drut , Piotr Magierski

An ultracold Fermi gas with a zero-range attractive potential in the unitary limit is investigated using variational and diffusion Monte Carlo methods. Previous calculations have used a finite range interactions and extrapolate the results…

量子气体 · 物理学 2015-06-23 Renato Pessoa , S. A. Vitiello , K. E. Schmidt

We present Quantum Monte Carlo calculations of the properties of a two-component mass imbalanced Fermi gas, corresponding to the $^6$Li-$^{40}$K mixture. We compute the equation of state of the unpolarized system as a function of the…

量子气体 · 物理学 2024-10-29 Stefano Gandolfi , Ryan Curry , Alexandros Gezerlis

An ultracold Fermi atomic gas at unitarity presents universal properties that in the diluted limit can be well described by a contact interaction. By employing a guide function with correct boundary conditions and making simple…

量子气体 · 物理学 2016-01-20 Renato Pessoa , S. Gandolfi , S. A. Vitiello , K. E. Schmidt

Variational and diffusion quantum Monte Carlo (VMC and DMC) calculations of the properties of the zero-temperature fermionic gas at unitarity are reported. The ratio of the energy of the interacting to the non-interacting gas for a system…

量子气体 · 物理学 2010-03-26 Andrew J. Morris , P. Lopez Rios , R. J. Needs

We calculate the equation of state of a two-component Fermi gas with attractive short-range interspecies interactions using the fixed-node diffusion Monte Carlo method. The interaction strength is varied over a wide range by tuning the…

软凝聚态物质 · 物理学 2009-11-10 G. E. Astrakharchik , J. Boronat , J. Casulleras , S. Giorgini

We report results of quantum Monte Carlo calculations of the ground state of dilute Fermi gases with attractive short range two-body interactions. The strength of the interaction is varied to study different pairing regimes which are…

原子物理 · 物理学 2009-02-05 S. Y. Chang , J. Carlson , V. R. Pandharipande , K. E. Schmidt

Quantum Monte Carlo techniques are employed to study the properties of polarons in an ultracold Fermi gas, at $T= 0,$ and in the unitary regime using both a zero-range model and a square-well potential. For a fixed density, the potential…

量子气体 · 物理学 2021-10-26 Renato Pessoa , S. A. Vitiello , L. A. Peña Ardila

Fermi liquid theory is the basic paradigm within which we understand the normal behavior of interacting electron systems, but quantitative values for the parameters that occur in this theory are currently unknown in many important cases.…

量子气体 · 物理学 2013-07-29 N. D. Drummond , R. J. Needs

Ultracold atomic Fermi gases have been a popular topic of research, with attention being paid recently to two-dimensional (2D) gases. In this work, we perform T=0 ab initio diffusion Monte Carlo calculations for a strongly interacting…

量子气体 · 物理学 2016-02-02 Alexander Galea , Hillary Dawkins , Stefano Gandolfi , Alexandros Gezerlis

This Dissertation presents results of a thorough study of ultracold bosonic and fermionic gases in three-dimensional and quasi-one-dimensional systems. Although the analyses are carried out within various theoretical frameworks…

量子气体 · 物理学 2014-12-16 G. E. Astrakharchik

We have used the variational and diffusion quantum Monte Carlo methods to calculate the energy, pair correlation function, static structure factor, and momentum density of the ground state of the two-dimensional homogeneous electron gas. We…

介观与纳米尺度物理 · 物理学 2010-03-02 N. D. Drummond , R. J. Needs

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…

量子气体 · 物理学 2011-04-06 S. Gandolfi , K. E. Schmidt , J. Carlson

Quantum Monte Carlo methods have proven to be valuable in the study of strongly correlated quantum systems, particularly nuclear physics and cold atomic gases. Historically, such ab initio simulations have been used to study properties of…

核理论 · 物理学 2012-10-26 J. Carlson , Stefano Gandolfi , Alexandros Gezerlis

The Unitary Fermi Gas (UFG) is one of the most strongly interacting systems known to date, as it saturates the unitarity bound on the quantum mechanical scattering cross section. The UFG corresponds to a two-component Fermi gas in the limit…

高能物理 - 格点 · 物理学 2011-11-04 Joaquín E. Drut , Timo A. Lähde , Timour Ten

Single-component ultracold atomic Fermi gases are usually described using noninteracting many-fermion models. However, recent experiments reached a regime where $p$-wave interactions among identical fermionic atoms are important. In this…

量子气体 · 物理学 2023-05-09 Gianluca Bertaina , Marco G. Tarallo , Sebastiano Pilati

The primary work presented in this paper focuses on the calculation of density-density dynamical correlations in an attractive two dimensional Fermi gas in several physically interesting regimes, including the strongly correlated BEC-BCS…

量子气体 · 物理学 2019-08-27 Ettore Vitali , Jimmy Gonzalez Nunez

Quantum Monte Carlo (QMC) techniques are used to provide an approximation-free investigation of the phases of the one-dimensional attractive Hubbard Hamiltonian in the presence of population imbalance. The temperature at which the…

量子气体 · 物理学 2010-07-15 M. J. Wolak , V. G. Rousseau , C. Miniatura , B. Gremaud , R. T. Scalettar , G. G. Batrouni

A quantity known as the contact plays a fundamental role in quantum many-body systems with short-range interactions. The determination of the temperature dependence of the contact for the unitary Fermi gas of infinite scattering length has…

量子气体 · 物理学 2020-07-29 S. Jensen , C. N. Gilbreth , Y. Alhassid

We derive analytically the leading beyond-mean field contributions to the zero-temperature equation of state and to the fermionic quasi-particle residue and effective mass of a dilute Bose-Fermi mixture in two dimensions. In the repulsive…

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