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Related papers: Dynamical fat link fermions

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We show that Popov-Fedotov trick of mapping spin-1/2 lattice systems on two-component fermions with imaginary chemical potential readily generalizes to bosons with a fixed (but not limited) maximal site occupation number, as well as to…

Strongly Correlated Electrons · Physics 2015-05-27 Nikolay Prokof'ev , Boris Svistunov

We discuss how dynamical fermion computations may be made yet cheaper by using symplectic integrators that conserve energy much more accurately without decreasing the integration step size. We first explain why symplectic integrators…

High Energy Physics - Lattice · Physics 2008-11-26 M. A. Clark , A. D. Kennedy

Representing massless Dirac fermions on a spatial lattice poses a potential challenge known as the Fermion Doubling problem. Addition of a quadratic term to the Dirac Hamiltonian circumvents this problem. We show that the modified…

Mesoscale and Nanoscale Physics · Physics 2015-09-15 K. M. Masum Habib , Redwan N. Sajjad , Avik W. Ghosh

We propose a modification of the Hybrid-Monte-Carlo algorithm that allows for a larger step-size of the integration scheme at constant acceptance rate. The key ingredient is that the pseudo-fermion action is split into two parts. We test…

High Energy Physics - Lattice · Physics 2009-11-07 Martin Hasenbusch

We present lattice Monte Carlo calculations of fermion-dimer scattering in the limit of zero-range interactions using the adiabatic projection method. The adiabatic projection method uses a set of initial cluster states and Euclidean time…

Nuclear Theory · Physics 2014-12-02 Serdar Elhatisari , Dean Lee

We show how the integrators used for the molecular dynamics step of the Hybrid Monte Carlo algorithm can be further improved. These integrators not only approximately conserve some Hamiltonian $H$ but conserve exactly a nearby shadow…

High Energy Physics - Lattice · Physics 2015-05-30 M. A. Clark , Bálint Joó , A. D. Kennedy , P. J. Silva

Interfacing unbiased quantum Monte Carlo simulations with state-of-art analytic continuation techniques, we obtain exact numerical results for dynamical density and spin correlations in the attractive Hubbard model, describing a…

Quantum Gases · Physics 2020-12-07 Ettore Vitali , Patrick Kelly , Annette Lopez , Gianluca Bertaina , Davide Emilio Galli

Strongly-coupled fermionic systems can support a variety of low-energy phenomena, giving rise to collective condensation, symmetry breaking and a rich phase structure. We explore the potential of worldline Monte Carlo methods for analyzing…

High Energy Physics - Theory · Physics 2010-11-11 Gerald Dunne , Holger Gies , Klaus Klingmuller , Kurt Langfeld

I describe a method that places the fermion fields and the gauge fields on different lattice spacings during the Hybrid Monte Carlo generation of Ginsparg-Wilson dynamical ensembles. The idea is motivated by Wilson's formulation of the…

High Energy Physics - Lattice · Physics 2010-11-05 Nigel Cundy

We study the effects of different "fat link" actions for Kogut-Susskind quarks on flavor symmetry breaking. Our method is mostly empirical - we compute the pion spectrum with different valence quark actions on common sets of sample…

High Energy Physics - Lattice · Physics 2010-11-19 Kostas Orginos , R. L. Sugar , Doug Toussaint

A numerical method is presented for reproducing fermionic quantum gas microscope experiments in equilibrium. By employing nested componentwise direct sampling of fermion pseudo-density matrices, as they arise naturally in determinantal…

Quantum Gases · Physics 2021-08-31 Stephan Humeniuk , Yuan Wan

Starting from the continuum Dirac operator, I construct a renormalisation group blocking which transforms the continuum action into a lattice action, and I specifically consider the Wilson and overlap formalisms. For Wilson fermions the…

High Energy Physics - Lattice · Physics 2009-10-06 Nigel Cundy

The chiral properties of lattice fermions can be improved by altering either their fermion-gauge coupling or the pure gauge part of the action (or both). Using both perturbation theory and nonperturbative simulation, we compare a simple…

High Energy Physics - Lattice · Physics 2016-09-01 Thomas DeGrand , Anna Hasenfratz , Tamas G. Kovacs

We review a number of topics related to block variable renormalisation group transformations of quantum fields on the lattice, and to the emerging perfect lattice actions. We first illustrate this procedure by considering scalar fields.…

High Energy Physics - Lattice · Physics 2008-11-26 W. Bietenholz

The variational method is used widely for determining eigenstates of the QCD hamiltonian for actions with a conventional transfer matrix, e.g., actions with improved Wilson fermions. An alternative lattice fermion formalism, staggered…

High Energy Physics - Lattice · Physics 2015-03-05 Carleton DeTar , Song-Haeng Lee

We report on the observation of anti-ferromagnetic correlations of ultracold fermions in a variety of optical lattice geometries that are well described by the Hubbard model, including dimers, 1D chains, ladders, isolated and coupled…

Quantum Gases · Physics 2015-12-30 Daniel Greif , Gregor Jotzu , Michael Messer , Rémi Desbuquois , Tilman Esslinger

Normalized hypercubic smearing improves the behavior of dynamical Wilson-clover fermions, but has the unwanted side effect that it can occasionally produce spikes in the fermion force. These spikes originate in the chain rule connecting the…

High Energy Physics - Lattice · Physics 2014-09-10 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We study aspects concerning numerical simulations of Lattice QCD with two flavors of dynamical Ginsparg-Wilson quarks with degenerate masses. A Hybrid Monte Carlo algorithm is described and the formula for the fermionic force is derived for…

High Energy Physics - Lattice · Physics 2009-10-31 Chuan Liu

Atomistic rigid lattice Kinetic Monte Carlo is an efficient method for simulating nano-objects and surfaces at timescales much longer than those accessible by molecular dynamics. A laborious part of constructing any Kinetic Monte Carlo…

We discuss the adaptation of the Hybrid Monte Carlo algorithm to overlap fermions. We derive a method which can be used to account for the delta function in the fermionic force caused by the differential of the sign function. We discuss the…

High Energy Physics - Lattice · Physics 2009-11-11 Nigel Cundy
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