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We apply complex Langevin dynamics to chiral random matrix theory at nonzero chemical potential. At large quark mass the simulations agree with the analytical results while incorrect convergence is found for small quark masses. The region…

High Energy Physics - Lattice · Physics 2013-12-16 A. Mollgaard , K. Splittorff

We consider mass-imbalanced two-component Fermi gases for which the unequal-mass atoms interact via a zero-range model potential with a diverging s-wave scattering length $a_s$, i.e., with $1/a_s=0$. The high temperature thermodynamics of…

Quantum Gases · Physics 2012-03-13 K. M. Daily , D. Blume

In the partition function of the Kondo lattice, spin matrices are exactly replaced by bilinear combinations of Fermi operators with the purely imaginary chemical potential lambda=-i.pi.T/2 (Popov representation). This new representation of…

Strongly Correlated Electrons · Physics 2009-10-31 F. Bouis , M. N. Kiselev

We investigate the highly polarized limit of a two-dimensional (2D) Fermi gas, where we effectively have a single spin-down impurity atom immersed in a spin-up Fermi sea. By constructing variational wave functions for the impurity, we map…

Quantum Gases · Physics 2013-04-30 Meera M. Parish , Jesper Levinsen

The nuclear shell model is known to describe the properties of various nuclei extremely well. However, the auxiliary-field quantum Monte Carlo calculations cannot be applied to it with general interactions due to the sign problem. The model…

Nuclear Theory · Physics 2025-08-22 Yuhma Asano , Yuta Ito , Jun Nishimura , Noritaka Shimizu

Monte Carlo simulation of gauge theories with a $\theta$ term is known to be extremely difficult due to the sign problem. Recently there has been major progress in solving this problem based on the idea of complexifying dynamical variables.…

High Energy Physics - Lattice · Physics 2020-05-08 Mitsuaki Hirasawa , Akira Matsumoto , Jun Nishimura , Atis Yosprakob

We suggest a new method of calculations for a clean Fermi gas with a repulsion in any dimension. This method is based on writing equations for quasiclassical Green functions and reducing them to equations for collective spin and charge…

Strongly Correlated Electrons · Physics 2009-11-11 I. L. Aleiner , K. B. Efetov

We study low temperature properties of an atomic spinless interacting Fermi gas in the trimerized Kagom\'e lattice for the case of two fermions per trimer. The system is described by a quantum spin 1/2 model on the triangular lattice with…

Other Condensed Matter · Physics 2009-11-10 B. Damski , H. -U. Everts , A. Honecker , H. Fehrmann , L. Santos , M. Lewenstein

The three-dimensional SU(3) spin model is an effective Polyakov loop model for QCD at nonzero temperature and density. It suffers from a sign problem at nonzero chemical potential. We revisit this model using complex Langevin dynamics and…

High Energy Physics - Lattice · Physics 2015-06-03 Gert Aarts , Frank A. James

Thermodynamic properties of the electron-positron plasma (or gas) at high and very high temperatures are investigated. To achieve this goal we have derived a number of analytical formulas for the Fermi-Dirac distribution functions (or…

Plasma Physics · Physics 2023-01-16 Alexei M. Frolov

We solve for the finite temperature collective mode dynamics in the Holstein-double exchange problem, using coupled Langevin equations for the phonon and spin variables. We present results in a strongly anharmonic regime, close to a…

Strongly Correlated Electrons · Physics 2020-03-30 Sauri Bhattacharyya , Sankha Subhra Bakshi , Saurabh Pradhan , Pinaki Majumdar

We study a two-component Fermi gas that is so strongly polarized that it remains normal fluid at zero temperature. We calculate the occupation numbers within the particle-particle random-phase approximation, which is similar to the…

Quantum Gases · Physics 2014-09-02 Michael Urban , Peter Schuck

Ab-initio Monte Carlo simulations of strongly-interacting fermionic systems are plagued by the fermion sign problem, making the non-perturbative study of many interesting regimes of dense quantum matter, or of theories of odd numbers of…

High Energy Physics - Lattice · Physics 2024-03-05 Debasish Banerjee , Emilie Huffman

We revisit the properties of the two-component Fermi gas with short-range interactions in three dimensions, in the limit where the s-wave scattering length diverges. Such a unitary Fermi gas possesses universal thermodynamic and dynamical…

Quantum Gases · Physics 2017-03-22 Jesper Levinsen , Pietro Massignan , Shimpei Endo , Meera M. Parish

We study a rapidly rotating gas of unpolarized spin-1/2 ultracold fermions in the two-dimensional regime when all atoms reside in the lowest Landau level. Due to the presence of the spin degree of freedom both s-wave and p-wave interactions…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Moller , Th. Jolicoeur , N. Regnault

We study the problem of an impurity in fully polarized (spin-up) low density neutron matter with the help of an accurate quantum Monte Carlo method in conjunction with a realistic nucleon-nucleon interaction derived from chiral effective…

Nuclear Theory · Physics 2015-11-18 Alessandro Roggero , Abhishek Mukherjee , Francesco Pederiva

QCD at nonzero baryon chemical potential suffers from the sign problem, due to the complex quark determinant. Complex Langevin dynamics can provide a solution, provided certain conditions are met. One of these conditions, holomorphicity of…

High Energy Physics - Lattice · Physics 2017-06-07 Gert Aarts , Erhard Seiler , Denes Sexty , Ion-Olimpiu Stamatescu

Lattice QCD at non-vanishing chemical potential is studied using the complex Langevin equation (CLE). One of the conditions for the correctness of the results of the CLE is that the zeroes of the measure coming from the fermionic…

High Energy Physics - Lattice · Physics 2016-11-10 G. Aarts , E. Seiler , D. Sexty , I. -O. Stamatescu

We present in detail a Langevin formalism for constructing stochastic dynamical equations for active-matter systems coupled to a thermal bath. We apply the formalism to clarify issues of principle regarding the sources and signatures of…

Soft Condensed Matter · Physics 2018-12-26 Lokrshi Prawar Dadhichi , Ananyo Maitra , Sriram Ramaswamy

Using Landau theory of Fermi liquids we calculate the dynamic response of both a polarized and unpolarized normal Fermi gas at zero temperature in the strongly interacting regime of large scattering length. We show that at small excitation…

Statistical Mechanics · Physics 2010-04-22 S. Stringari
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