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We present a quantum Monte Carlo method which allows calculations on many-fermion systems at finite temperatures without any sign decay. This enables simulations of the grand-canonical ensemble at large system sizes and low temperatures.…

凝聚态物理 · 物理学 2009-10-31 Shiwei Zhang

Trapped and cooled gases of alkali atoms can be manipulated to exhibit a variety of interesting phenomena. For example, dilute gases of fermionic atoms, in 2 hyperfine states, can be cooled to temperatures where they become superfluid. An…

高能物理 - 格点 · 物理学 2009-09-29 Matthew Wingate

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…

统计力学 · 物理学 2016-08-31 Matthew Wingate

The $\phi^4_3$ model at finite temperature is simulated on the lattice. For fixed $N_t$ we compute the transition line for $N_s \to \infty$ by means of Finite Size Scaling techniques. The crossings of a Renormalization Group trajectory with…

高能物理 - 格点 · 物理学 2009-10-28 G. Bimonte , D. Iñiguez , A. Tarancón , C. L. Ullod

We extend the idea of fermion bags to Hamiltonian lattice field theories in the continuous time formulation. Using a class of models we argue that the temperature is a parameter that splits the fermion dynamics into small spatial regions…

高能物理 - 格点 · 物理学 2017-12-13 Emilie Huffman , Shailesh Chandrasekharan

The zero-temperature and finite-temperature thermodynamics of two-component Fermi gases with finite-range attractive interaction suffer from fermion sign problem, which seems like an insurmountable problem in exact numerical simulations. In…

量子气体 · 物理学 2022-12-02 Yunuo Xiong , Hongwei Xiong

We study a one-dimensional two-component Fermi gas in a harmonic trapping potential using finite temperature lattice quantum Monte Carlo methods. We are able to compute observables in the canonical ensemble via an efficient projective…

量子气体 · 物理学 2023-09-14 Felipe Attanasio , Marc Bauer , Renzo Kapust , Jan M. Pawlowski

We present a finite-temperature canonical-ensemble determinant quantum Monte Carlo algorithm that enforces an exact fermion number and enables stable simulations of correlated lattice fermions. We propose a stabilized QR update that reduces…

强关联电子 · 物理学 2026-01-21 Tu Hong , Kun Chen , Xiao Yan Xu

We derive finite temperature expansions for relativistic fermion systems in the presence of background magnetic fields, and with nonzero chemical potential. We use the imaginary-time formalism for the finite temperature effects, the…

高能物理 - 理论 · 物理学 2009-10-30 Daniel Cangemi , Gerald Dunne

The unitarity limit describes interacting particles where the range of the interaction is zero and the scattering length is infinite. We present precision benchmark calculations for two-component fermions at unitarity using three different…

量子气体 · 物理学 2011-06-27 Shahin Bour , Xin Li , Dean Lee , Ulf-G. Meißner , Lubos Mitas

In this work we analyze how effects of finite size may modify the thermodynamics of a system of strongly interacting fermions that we model using an effective field theory with four-point interactions at finite temperature and density and…

高能物理 - 理论 · 物理学 2015-06-11 Antonino Flachi

The auxiliary-field quantum Monte Carlo (AFMC) method is a powerful and widely used technique for ground-state and finite-temperature simulations of quantum many-body systems. We introduce several algorithmic improvements for…

计算物理 · 物理学 2021-03-18 C. N. Gilbreth , S. Jensen , Y. Alhassid

A novel method to determine the density and temperature of a system is proposed based on quantum fluctuations typical of Fermions in the limit where the reached temperature T is small compared to the Fermi energy $\epsilon_f$ at a given…

核理论 · 物理学 2011-06-27 Hua Zheng , Aldo Bonasera

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

We exploit a prescription to observe directly the physical properties of the thermodynamic limit under continuously applied field in one-dimensional quantum finite lattice systems. By systematically scaling down the energy of the…

强关联电子 · 物理学 2015-06-16 Chisa Hotta , Naokazu Shibata

In recent years, a method for computing spin dynamics at infinite temperature (spinDMFT) was developed. It utilizes the ideas of dynamical mean-field theory for fermions: single-site approximation and a self-consistency condition to…

强关联电子 · 物理学 2026-04-24 Przemysław Bieniek , Timo Gräßer , Götz S. Uhrig

We present a variational density matrix approach to the thermal properties of interacting fermions in the continuum. The variational density matrix is parametrized by a permutation equivariant many-body unitary transformation together with…

强关联电子 · 物理学 2022-04-04 Hao Xie , Linfeng Zhang , Lei Wang

We study the finite temperature properties of the gauge theory of nonrelativistic fermions by using RPA and ladder approximation. This gauge theory is relevant to two interesting systems: high-Tc superconductivity and electrons in the…

凝聚态物理 · 物理学 2009-10-28 M. Onoda , I. Ichinose , T. Matsui

In these notes we review some properties of Statistical Quantum Field Theory at equilibrium, i.e Quantum Field Theory at finite temperature. We explain the relation between finite temperature quantum field theory in (d,1) dimensions and…

高能物理 - 唯象学 · 物理学 2007-05-23 J. Zinn-Justin

Dynamical mean-field approximation with explicit pairing is utilized to study the properties of a two-component Fermi gas at unitarity. The problem is approximated by the lattice Hubbard Hamiltonian, and the continuum limit is realized by…

统计力学 · 物理学 2009-11-13 Nir Barnea
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