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A recently proposed convolution technique for the calculation of local density of states is described more thouroughly and new results of its application are presented. For separable systems the exposed method allows to construct the ldos…

Condensed Matter · Physics 2009-11-07 A. Losev , S. Vlaev

An algorithm to calculate the density of states, based on the well-known Wang-Landau method, is introduced. Independent random walks are performed in different restricted ranges of energy, and the resultant density of states is modified by…

Statistical Mechanics · Physics 2015-06-25 R. E. Belardinelli , V. D. Pereyra

The paper investigates the problem of estimating the state of a time-varying system with a linear measurement model; in particular, the paper considers the case where the number of measurements available can be smaller than the number of…

Systems and Control · Electrical Eng. & Systems 2021-04-07 Guido Cavraro , Emiliano Dall'Anese , Joshua Comden , Andrey Bernstein

In recent studies, new measures of complexity for nonlinear systems have been proposed based on probabilistic grounds, as the LMC measure (Phys. Lett. A {\bf 209} (1995) 321) or the SDL measure (Phys. Rev. E {\bf 59} (1999) 2). All these…

adap-org · Physics 2015-06-30 Ricard V. Sole , Bartolo Luque

We present ongoing investigations of the first-order confinement transition of a composite dark matter model, to predict the resulting spectrum of gravitational waves. To avoid long autocorrelations at the first-order transition, we employ…

High Energy Physics - Lattice · Physics 2021-12-23 Felix Springer , David Schaich

This work proposes a methodology to develop new numerical integration algorithms for ordinary differential equations based on state quantization, generalizing the notions of Linearly Implicit Quantized State Systems (LIQSS) methods. Using…

Numerical Analysis · Mathematics 2025-12-22 Mariana Bergonzi , Joaquín Fernández , Ernesto Kofman

We develop a general framework to calculate the many-body density of states (DOS) of isolated and interacting quantum systems. Based on the generalized coherent state formalism and the Simon-Lieb bounds for a quantum partition function, our…

Strongly Correlated Electrons · Physics 2026-04-17 Deniz Coskun , R. Chitra

The density-of-states method (Phys.Rev.Lett. 109 (2012) 111601) features an exponential error suppression and is not restricted to theories with positive probabilistic weight. It is applied to the SU(2) gauge theory at finite densities of…

High Energy Physics - Lattice · Physics 2013-10-31 Kurt Langfeld , Jan Pawlowski , Biagio Lucini , Antonio Rago , Roberto Pellegrini

We present a new Monte Carlo algorithm applying a history-driven mechanism for the calculation of the density of states for classical statistical models. The new method is as efficient as the Wang-Landau method in sampling through the…

Statistical Mechanics · Physics 2011-12-01 Shijun Lei

We show that the density matrix of a spin-l system can be described entirely in terms of the measurement statistics of projective spin measurements along a minimum of 4l+1 different spin directions. It is thus possible to represent the…

Quantum Physics · Physics 2009-11-10 Holger F. Hofmann , Shigeki Takeuchi

The partial scaling transform of the density matrix for multiqubit states is introduced to detect entanglement of quantum states. The transform contains partial transposition as a special case. The scaling transform corresponds to partial…

Quantum Physics · Physics 2007-05-23 C. Lupo , V. Man'ko , G. Marmo , E. C. G. Sudarshan

The `lid' algorithm performs an exhaustive exploration of neighborhoods of local energy minima of energy landscapes. This paper describes an implementation of the algorithm, including issues of parallel performance and scalability. To…

Computational Physics · Physics 2009-10-31 Paolo Sibani , Ruud van der Pas , J. Christian Schoen

We present a new Monte Carlo algorithm that produces results of high accuracy with reduced simulational effort. Independent random walks are performed (concurrently or serially) in different, restricted ranges of energy, and the resultant…

Statistical Mechanics · Physics 2009-10-31 Fugao Wang , D. P. Landau

We describe an efficient Monte Carlo algorithm using a random walk in energy space to obtain a very accurate estimate of the density of states for classical statistical models. The density of states is modified at each step when the energy…

Statistical Mechanics · Physics 2009-11-07 Fugao Wang , David. P. Landau

We introduce a sequence of numerical tests that can determine the entanglement or separability of a state even when there is not enough information to completely determine its density matrix. Given partial information about the state in the…

Quantum Physics · Physics 2012-12-14 Federico M. Spedalieri

In the last years different studies have revealed the usefulness of a microcanonical analysis of finite systems when dealing with phase transitions. In this approach the quantities of interest are exclusively expressed as derivatives of the…

Statistical Mechanics · Physics 2009-11-11 Andreas Richter , Michel Pleimling , Alfred Hueller

It is shown that the continuum level density (CLD) at unbound energies can be calculated with the complex scaling method (CSM), in which the energy spectra of bound states, resonances and continuum states are obtained in terms of $L^2$…

Nuclear Theory · Physics 2009-11-11 Ryusuke Suzuki , Takayuki Myo , Kiyoshi Kato

The Density of States Functional Fit Approach (DoS FFA) is a recently proposed modern density of states technique suitable for calculations in lattice field theories with a complex action problem. In this article we present an exploratory…

High Energy Physics - Lattice · Physics 2016-12-21 Mario Giuliani , Christof Gattringer , Pascal Törek

State density distribution, in contrast to worst-case reachability, can be leveraged for safety-related problems to better quantify the likelihood of the risk for potentially hazardous situations. In this work, we propose a data-driven…

Artificial Intelligence · Computer Science 2021-09-15 Yue Meng , Dawei Sun , Zeng Qiu , Md Tawhid Bin Waez , Chuchu Fan

We discuss a new strategy for treating the complex action problem of lattice field theories with a $\theta$-term based on density of states (DoS) methods. The key ingredient is to use open boundary conditions where the topological charge is…

High Energy Physics - Lattice · Physics 2020-08-26 Christof Gattringer , Oliver Orasch