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Motivated by the realization of hard-wall boundary conditions in experiments with ultracold atoms, we investigate the ground-state properties of spin-1/2 fermions with attractive interactions in a one-dimensional box. We use lattice Monte…

Quantum Gases · Physics 2016-10-26 J. R. McKenney , C. R. Shill , W. J. Porter , J. E. Drut

We consider pairing in a three-component gas of degenerate fermions. In particular, we solve the finite temperature mean-field theory of an interacting gas for a system where both interaction strengths and fermion masses can be unequal. At…

Superconductivity · Physics 2009-11-11 T. Paananen , J. -P. Martikainen , P. Torma

Standard lattice formulations of non-relativistic Fermi gases with two spin components suffer from a sign problem in the cases of repulsive contact interactions and attractive contact interactions with spin imbalance. We discuss the nature…

Quantum Gases · Physics 2022-12-23 Felipe Attanasio , Marc Bauer , Jan M. Pawlowski

Microscopic spin interaction processes are fundamental for global static and dynamical magnetic properties of many-body systems. Quantum gases as pure and well isolated systems offer intriguing possibilities to study basic magnetic…

We investigate the low temperature thermodynamics and correlation functions of one-dimensional spin-1/2 fermions with strong repulsion in an external magnetic field via the thermodynamic Bethe ansatz method. The exact thermodynamics of the…

Quantum Gases · Physics 2013-05-16 J. Y. Lee , X. W. Guan , K. Sakai , M. T. Batchelor

The Variation After Projection approach is applied for the first time to the pairing hamiltonian to describe the thermodynamics of small systems with fixed particle number. The minimization of the free energy is made by a direct…

Nuclear Theory · Physics 2015-06-04 Danilo Gambacurta , Denis Lacroix

The recent progress in understanding the mathematics of complex stochastic quantization, as well as its application to quantum chromodynamics in situations that have a complex phase problem (e.g. finite quark density, real time), has opened…

Quantum Gases · Physics 2018-08-01 J. E. Drut

We study a system of polar dipolar fermions in a two-dimensional optical lattice and show that multi-band Fermi-Hubbard model is necessary to discuss such system. By taking into account both on-site, and long-range interactions between…

Quantum Gases · Physics 2015-06-04 O. Dutta , T. Sowiński , M. Lewenstein

We have developed a series expansion method for calculating the zero-temperature properties of lattice electron models for variable electron density, i.e. for finite doping away from the half-filled case. This is done by introducing…

Strongly Correlated Electrons · Physics 2007-05-23 Zheng Weihong , C. J. Hamer , J. Oitmaa , R. R. P. Singh

This paper is devoted to numerical simulation of a charged particle beam submitted to a strong oscillating electric field. For that, we consider a two-scale numerical approach as follows: we first recall the two-scale model which is…

Numerical Analysis · Mathematics 2008-12-22 Alexandre Mouton

Particle discretizations of partial differential equations are advantageous for high-dimensional kinetic models in phase space due to their better scalability than continuum approaches with respect to dimension. Complex processes…

Plasma Physics · Physics 2025-12-23 Mark F. Adams , Daniel S. Finn , Matthew G. Knepley , Joseph V. Pusztay

There has been a surge of experimental effort recently in cooling trapped fermionic atoms to quantum degeneracy. By varying an external magnetic field, interactions between atoms can be made arbitrarily strong. When the S wave scattering…

High Energy Physics - Lattice · Physics 2009-11-10 Matthew Wingate

The formation and dissociation of bosonic molecules in an optical lattice, formed by spin-1/2 fermionic atoms, is considered in the presence of an attractive nearest-neighbor interaction. A mean-field approximation reveals three different…

Superconductivity · Physics 2007-05-23 K. Ziegler

The screened quasi-relativistic potential is used for describing spin-orbit splitting in $^{3}P_{J}$ waves of quark-antiquark system. Fermi-Breit equation is solved numerically in configuration interaction approximation. This approximation…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Lengyel , V. Rubish , A. Shpenik , S. Chalupka , M. Salak

We systematically derive the collision term for the axial kinetic theory, a quantum kinetic theory delineating the coupled dynamics of the vector/axial charges and spin transport carried by the massive spin-1/2 fermions traversing a medium.…

High Energy Physics - Phenomenology · Physics 2020-08-04 Di-Lun Yang , Koichi Hattori , Yoshimasa Hidaka

In low-temperature high-density plasmas quantum effects of the electrons are becoming increasingly important. This requires the development of new theoretical and computational tools. Quantum Monte Carlo methods are among the most…

Statistical Mechanics · Physics 2014-08-12 T. Schoof , S. Groth , M. Bonitz

The Dirac field, spin 1/2 particles, is investigated in phase space. The Dirac propagator is defined. The Thermo Field Dynamics (TFD) formalism is used to introduce finite temperature. The energy-momentum tensor is calculated at finite…

High Energy Physics - Theory · Physics 2020-05-26 R. G. G. Amorim , S. C. Ulhoa , J. S da Cruz Filho , A. F. Santos , F. C. Khanna

By generalizing the recently developed path integral molecular dynamics for identical bosons and fermions, we consider the finite-temperature thermodynamic properties of fictitious identical particles with a real parameter $\xi$…

Statistical Mechanics · Physics 2022-09-21 Yunuo Xiong , Hongwei Xiong

We propose a method for measuring the temperature of fermionic atoms in an optical lattice potential from the intensity of the scattered light in the far-field diffraction pattern. We consider a single-component gas in a tightly-confined…

Quantum Gases · Physics 2009-10-24 J. Ruostekoski , C. J. Foot , A. B. Deb

In this work, we apply a semi-Lagrangian spectral method for the Vlasov-Poisson system, previously designed for periodic Fourier discretizations, by implementing Legendre polynomials and Hermite functions in the approximation of the…

Numerical Analysis · Mathematics 2018-07-09 Lorella Fatone , Daniele Funaro , Gianmarco Manzini