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We use quantum Monte Carlo simulations to obtain zero-temperature state diagrams for strongly correlated lattice bosons in one and two dimensions under the influence of a harmonic confining potential. Since harmonic traps generate a…

Other Condensed Matter · Physics 2017-09-11 Marcos Rigol , George G. Batrouni , Valery G. Rousseau , Richard T. Scalettar

In this work we examine a system consisting of a confined one-dimensional arrangement of atoms that we describe by using the 2-dimensional ${\mathbb C}P^{N-1}$ model, restricted to an interval and at finite temperature. We develop a method…

High Energy Physics - Theory · Physics 2019-10-21 Antonino Flachi , Guglielmo Fucci , Muneto Nitta , Satoshi Takada , Ryosuke Yoshii

The 2d CP(N-1) models share a number of features with QCD, like asymptotic freedom, a dynamically generated mass gap and topological sectors. They have been formulated and analysed successfully in the framework of the so-called D-theory,…

We study the autocorrelations of observables constructed from the topological charge density, such as the topological charge on a time slice or in a subvolume, using a series of hybrid Monte Carlo simulations of pure SU(3) gauge theory with…

High Energy Physics - Lattice · Physics 2014-10-15 Greg McGlynn , Robert D. Mawhinney

Recent years have seen a growing interest in the thermodynamic cost of dissipative structures formed by active particles. Given the strong finite-size effects of such systems, it is essential to develop efficient numerical approaches that…

Soft Condensed Matter · Physics 2025-03-24 Ki-Won Kim , Euijoon Kwon , Yongjoo Baek

Sampling topological quantities in the Monte Carlo simulation of Lattice Gauge Theory becomes challenging as we approach the continuum limit of the theory. In this work, we introduce a Conditional Normalizing Flow (C-NF) model to sample…

High Energy Physics - Lattice · Physics 2023-11-01 Ankur Singha , Dipankar Chakrabarti , Vipul Arora

One may argue that QCD solves the strong CP problem by itself, without having to introduce new symmetries and particles. To test this idea, a lattice simulation is performed. The problem is investigated in the CP$^3$ model first. It is…

High Energy Physics - Lattice · Physics 2007-05-23 G. Schierholz

In this paper, a sub-optimal boundary control strategy for a free boundary problem is investigated. The model is described by a non-smooth convection-diffusion equation. The control problem is addressed by an instantaneous strategy based on…

Optimization and Control · Mathematics 2020-11-06 Youness Mezzan , Moulay Hicham Tber

We investigate the critical behavior of three-dimensional ferromagnetic CP(N-1) models, which are characterized by a global U(N) and a local U(1) symmetry. We perform numerical simulations of a lattice model for N=2, 3, and 4. For N=2 we…

Statistical Mechanics · Physics 2019-08-28 Andrea Pelissetto , Ettore Vicari

We perform an analysis of the topological and chiral vacuum structure of four-dimensional QCD on the lattice at finite temperature. From correlation functions we show the existence of local correlations between the topological charge…

High Energy Physics - Lattice · Physics 2009-10-30 Markus Feurstein , Harald Markum , Stefan Thurner

Using lattice perturbation theory at finite temperature, we compute for staggered fermions the one-loop fermionic corrections to the spatial and temporal plaquette couplings as well as the leading $Z_N$ symmetry breaking coupling. Numerical…

High Energy Physics - Lattice · Physics 2009-10-28 Peter N. Meisinger , Michael C. Ogilvie

In an effort to clarify the significance of the recent observation of long-range topological charge coherence in QCD gauge configurations, we study the local topological charge distributions in two-dimensional $CP^{N-1}$ sigma models, using…

High Energy Physics - Lattice · Physics 2009-11-11 Saeed Ahmad , Jonathan T. Lenaghan , H. B. Thacker

The deconfinement transition is studied close to the continuum limit of SO(3) lattice gauge theory. High barriers for tunnelling among different twist sectors causing loss of ergodicity for local update algorithms are circumvented by means…

High Energy Physics - Lattice · Physics 2008-11-26 G. Burgio , M. Fuhrmann , W. Kerler , M. Muller-Preussker

We have developed a technique to accelerate the acquisition of effectively uncorrelated configurations for off-lattice models of dense polymer melts which makes use of both parallel tempering and large scale Monte Carlo moves. The method is…

Soft Condensed Matter · Physics 2009-10-31 Alex Bunker , Burkhard Duenweg

We investigate instantons in finite temperature QCD via Witten's holographic QCD. To study the deconfinement phase, we use the setup proposed in [1] (arXiv:1107.4048). We find that the sizes of the instantons are stabilized at certain…

High Energy Physics - Theory · Physics 2015-12-09 Masanori Hanada , Yoshinori Matsuo , Takeshi Morita

Using the parallel tempering algorithm and GPU accelerated techniques, we have performed large-scale Monte Carlo simulations of the Ising model on a square lattice with antiferromagnetic (repulsive) nearest-neighbor(NN) and…

Statistical Mechanics · Physics 2015-05-14 Junqi Yin , D. P. Landau

The FASTSUM Collaboration has developed a comprehensive research programme in thermal lattice QCD using 2+1 flavour ensembles. We review our recent hadron spectrum analyses of open charm mesons and charm baryons at non-zero temperature. We…

A new approach to study the equation of state in finite-temperature QCD is proposed on the lattice. Unlike the conventional method in which the temporal lattice size $N_t$ is fixed, the temperature $T$ is varied by changing $N_t$ at fixed…

High Energy Physics - Lattice · Physics 2009-03-12 T. Umeda , S. Ejiri , S. Aoki , T. Hatsuda , K. Kanaya , Y. Maezawa , H. Ohno

We introduce a lattice model for a classical doped two dimensional antiferromagnet which has no quenched disorder, yet displays slow dynamics similar to those observed in supercooled liquids. We calculate two-time spatial and spin…

Disordered Systems and Neural Networks · Physics 2009-11-10 Malcolm P. Kennett , Claudio Chamon , Leticia F. Cugliandolo

We studied the critical behavior of the $J_{1}-J_{2}$ spin-{1/2} Ising model in the square lattice by considering $J_{1}$ fixed and $J_{2}$ as random interactions following discrete and continuous probability distribution functions. The…

Statistical Mechanics · Physics 2021-12-23 Octavio D. Rodriguez Salmon , Minos A. Neto , Thiago Lobo , Francisco Dinola Neto