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Recently, a novel algorithm for computing the density of states in statistical systems and quantum field theories has been proposed. The same method can be applied to theories at finite density affected by the notorious sign problem,…

High Energy Physics - Lattice · Physics 2016-01-13 L. Bongiovanni , K. Langfeld , B. Lucini , R. Pellegrini , A. Rago

Using a recently introduced tensor network method, we study the density of states of the lattice Schwinger model, a standard testbench for lattice gauge theory numerical techniques, but also the object of recent experimental quantum…

High Energy Physics - Lattice · Physics 2021-08-04 Irene Papaefstathiou , Daniel Robaina , J. Ignacio Cirac , Mari Carmen Bañuls

Perhaps surprisingly, recent studies have shown probabilistic model likelihoods have poor specificity for out-of-distribution (OOD) detection and often assign higher likelihoods to OOD data than in-distribution data. To ameliorate this…

Worldline representations were established as a powerful tool for studying bosonic lattice field theories at finite density. For fermions, however, the worldlines still may carry signs that originate from the Dirac algebra and from the…

High Energy Physics - Lattice · Physics 2022-11-29 Christof Gattringer

A previously derived three-dimensional effective lattice theory describing the thermodynamics of QCD with heavy quarks in the cold and dense region is extended through order $\sim u^5\kappa^8$ in the combined character and hopping expansion…

High Energy Physics - Lattice · Physics 2016-04-20 Jonas Glesaaen , Mathias Neuman , Owe Philipsen

The Logarithmic Linear Relaxation (LLR) algorithm is an efficient method for computing densities of states for systems with a continuous spectrum. A key feature of this method is exponential error reduction, which allows us to evaluate the…

High Energy Physics - Lattice · Physics 2022-04-13 Biagio Lucini , Olmo Francesconi , Markus Holzmann , David Lancaster , Antonio Rago

We discuss two new DoS approaches for finite density lattice QCD. The paper extends a recent presentation of the new techniques based on Wilson fermions, while here we now discuss and test the case of finite density QCD with staggered…

High Energy Physics - Lattice · Physics 2019-12-12 Christof Gattringer , Michael Mandl , Pascal Törek

In lattice calculations, the approach to the continuum limit is hindered by the severe freezing of the topological charge, which prevents ergodic sampling in configuration space. In order to significantly reduce the autocorrelation time of…

High Energy Physics - Lattice · Physics 2021-05-19 Guido Cossu , David Lancaster , Biagio Lucini , Roberto Pellegrini , Antonio Rago

Approaches to the sign problem based on the density of states have been recently revived by the introduction of the LLR algorithm, which allows us to compute the density of states itself with exponential error reduction. In this work, after…

High Energy Physics - Lattice · Physics 2019-01-25 Biagio Lucini , Olmo Francesconi , Markus Holzmann , Antonio Rago

The density of states of Dirac fermions with a random mass on a two-dimensional lattice is considered. We give the explicit asymptotic form of the single-electron density of states as a function of both energy and (average) Dirac mass, in…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 Simon Villain-Guillot , Giancarlo Jug , Klaus Ziegler

The energy density and the pressure of SU(3) gauge theory at finite temperature are studied by direct lattice measurements of the renormalized energy-momentum tensor obtained by the gradient flow. Numerical analyses are carried out with…

High Energy Physics - Lattice · Physics 2017-02-15 Masakiyo Kitazawa , Takumi Iritani , Masayuki Asakawa , Tetsuo Hatsuda , Hiroshi Suzuki

Emerging sampling algorithms based on normalizing flows have the potential to solve ergodicity problems in lattice calculations. Furthermore, it has been noted that flows can be used to compute thermodynamic quantities which are difficult…

High Energy Physics - Lattice · Physics 2023-10-02 Jan M. Pawlowski , Julian M. Urban

We consider a semiclassical formulation for the density of states (DOS) of disordered systems in any dimension. We show that this formulation becomes very accurate when the correlation length of the disorder potential is large. The disorder…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. C. Flores , M. Hilke

The topological charge density and topological susceptibility are determined by multi-probing approximation using overlap fermions in quenched SU(3) gauge theory. Then we investigate the topological structure of the quenched QCD vacuum, and…

High Energy Physics - Lattice · Physics 2017-09-01 You-Hao Zou , Jian-Bo Zhang , Guang-Yi Xiong , Ying Chen , Chuan Liu , Yu-Bin Liu , Jian-Ping Ma

The LLR method is a novel algorithm that enables us to evaluate the density of states in lattice gauge theory. We present our study of the ergodicity properties of the LLR algorithm for the model of Yang Mills SU(3). We show that the use of…

High Energy Physics - Lattice · Physics 2018-04-18 Guido Cossu , Biagio Lucini , Roberto Pellegrini , Antonio Rago

We presented an efficient algorithm, fast adaptive flat-histogram ensemble (FAFE), to estimate the density of states (DOS) and to enhance sampling in large systems. FAFE calculates the means of an arbitrary extensive variable $U$ in…

Statistical Mechanics · Physics 2008-11-13 Xin Zhou , Yi Jiang

We propose a new strategy to evaluate the partition function of lattice QCD with Wilson gauge action coupled to staggered fermions, based on a strong coupling expansion in the inverse bare gauge coupling $\beta= 2N/g^{2}$. Our method makes…

High Energy Physics - Lattice · Physics 2020-02-19 Giuseppe Gagliardi , Wolfgang Unger

Many disordered lattices exhibit remarkable universality in their low temperature properties, similar to that found in amorphous solids. Recently a two-TLS (two-level system) model was derived based on the microscopic characteristics of…

Disordered Systems and Neural Networks · Physics 2024-01-08 A. Churkin , I. Gabdank , A. Burin , M. Schechter

By considering the quantum-mechanically minimum allowable energy interval, we exactly count number of states (NOS) and introduce discrete density of states (DOS) concept for a particle in a box for various dimensions. Expressions for…

Statistical Mechanics · Physics 2016-02-24 Alhun Aydin , Altug Sisman

Energy variation of the density of states (DOS) has been calculated in the superconductor/ferromagnet/ferromagnet/superconductor structure (SFFS) in the frame of Gorkov equations taking into account the s-d electron scattering in the…

Other Condensed Matter · Physics 2016-08-31 D. Gusakova , A. Vedyayev , O. Kotel'nikova