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We present a multi-reference configuration mixing scheme for describing ground and excited states, with well defined spin and space group symmetry quantum numbers, of the one-dimensional Hubbard model with nearest-neighbor hopping and…

Strongly Correlated Electrons · Physics 2013-06-28 R. Rodríguez-Guzmán , Carlos A. Jiménez-Hoyos , R. Schutski , Gustavo E. Scuseria

The transition energies and properties of the Ir$^{17+}$ ion are calculated using the Kramers-restricted configuration-interaction (KRCI) and Fock-space coupled-cluster (FSCC) methods within the Dirac-Coulomb-Gaunt Hamiltonian framework.…

Atomic Physics · Physics 2025-02-11 H. X. Liu , Y. M. Yu , B. B. Suo , Y. F. Ge , Y. Liu

We present a maximum-caliber method for inferring transition rates of a Markov State Model (MSM) with perturbed equilibrium populations, given estimates of state populations and rates for an unperturbed MSM. It is similar in spirit to…

Biomolecules · Quantitative Biology 2016-05-26 Vincent A. Voelz , Guangfeng Zhou , Hongbin Wan

Quantum chemistry calculations on a quantum computer frequently suffer from symmetry breaking: the situation when a state of assumed spin and number of electrons is contaminated with contributions of undesired symmetry. The situation may…

Quantum Physics · Physics 2018-12-27 Ilya G. Ryabinkin , Scott N. Genin

We introduce a high-performance linear-scaling electronic structure method that employs chromatic superposition states (CSS) as a low-dimensional, high-fidelity representation, which can be orders of magnitude smaller than the full Hilbert…

Materials Science · Physics 2026-05-21 Zhikang Jiang , Zhizhi Xiao , Mingfa Tang , Weiyu Li , Zhaoru Sun , Ke Xia , Youqi Ke

A multi-reference configuration mixing scheme is used to describe the ground state, characterized by well defined spin and space group symmetry quantum numbers as well as doping fractions $N_{e}/N_{sites}$, of one dimensional Hubbard…

Strongly Correlated Electrons · Physics 2015-06-18 R. Rodríguez-Guzmán , Carlos A. Jiménez-Hoyos , Gustavo E. Scuseria

Time-reversible symplectic methods, which are precisely compatible with Liouville's phase-volume-conservation theorem, are often recommended for computational simulations of Hamiltonian mechanics. Lack of energy drift is an apparent…

Chaotic Dynamics · Physics 2015-10-20 William Graham Hoover , Carol Griswold Hoover

In this work, we apply the Stochastic Grid Bundling Method (SGBM) to numerically solve backward stochastic differential equations (BSDEs). The SGBM algorithm is based on conditional expectations approximation by means of bundling of Monte…

Numerical Analysis · Mathematics 2019-08-26 Ki Wai Chau , Cornelis W. Oosterlee

A new model, for the accurate simulation of multiple Coulomb scattering (MSC) of e-/e+, has been implemented in Geant4 recently and made available with version Geant4-10.4. The model is based on Goudsmit-Saunderson (GS) angular…

Computational Physics · Physics 2025-10-20 Mihaly Novak

We present an overview of beyond mean field theories (BMFT) based on the generator coordinate method (GCM) and the recovery of symmetries used in nuclear physics with effective forces. After a reminder of the Hartree-Fock-Bogoliubov (HFB)…

Nuclear Theory · Physics 2016-06-15 J. Luis Egido

In the last decade, the study of cosmic microwave background (CMB) data has become one of the most powerful tools to study and understand the Universe. More precisely, measuring the CMB power spectrum leads to the estimation of most…

Astrophysics · Physics 2009-11-13 J. Bobin , Y. Moudden , J. -L. Starck , J. Fadili , N. Aghanim

Hybrid beamforming (HB) has been widely studied for reducing the number of costly radio frequency (RF) chains in massive multiple-input multiple-output (MIMO) systems. However, previous works on HB are limited to a single user equipment…

Information Theory · Computer Science 2016-11-03 Dengkui Zhu , Boyu Li , Ping Liang

We develop clustering procedures for longitudinal trajectories based on a continuous-time hidden Markov model (CTHMM) and a generalized linear observation model. Specifically in this paper, we carry out finite and infinite mixture…

Methodology · Statistics 2021-12-08 Yu Luo , David A. Stephens , David L. Buckeridge

Large-scale recommendation systems often adopt cascading architecture consisting of retrieval, pre-ranking, ranking, and re-ranking stages. With strict latency requirements, pre-ranking utilizes lightweight models to perform a preliminary…

Information Retrieval · Computer Science 2025-02-17 Binglei Zhao , Houying Qi , Guang Xu , Mian Ma , Xiwei Zhao , Feng Mei , Sulong Xu , Jinghe Hu

We present a new high-order finite volume reconstruction method for hyperbolic conservation laws. The method is based on a piecewise cubic polynomial which provides its solutions a fifth-order accuracy in space. The spatially reconstructed…

Computational Physics · Physics 2017-05-24 Dongwook Lee , Hugues Faller , Adam Reyes

The efficient and accurate simulation of material systems with defects using atomistic- to-continuum (a/c) coupling methods is a topic of considerable interest in the field of computational materials science. To achieve the desired balance…

Numerical Analysis · Mathematics 2023-09-01 Yangshuai Wang

Stochastic differential equation mixed-effects models (SDEMEMs) are flexible hierarchical models that are able to account for random variability inherent in the underlying time-dynamics, as well as the variability between experimental units…

Computation · Statistics 2021-01-22 Samuel Wiqvist , Andrew Golightly , Ashleigh T. McLean , Umberto Picchini

We study energy-conserving Hamiltonian Boundary Value Methods (HBVMs) for Hamiltonian systems, which arise in applications where long-term preservation of energy and symplecticity is essential. HBVMs are multi-stage schemes whose stage…

Numerical Analysis · Mathematics 2026-05-18 Fabio Durastante , Mariarosa Mazza

Computing ground states of local Hamiltonians is a fundamental problem in condensed matter physics. We give the first randomized polynomial-time algorithm for finding ground states of gapped one-dimensional Hamiltonians: it outputs an…

Quantum Physics · Physics 2013-07-22 Zeph Landau , Umesh Vazirani , Thomas Vidick

We present here two novel algorithms for simulated tempering simulations, which break detailed balance condition (DBC) but satisfy the skewed detailed balance to ensure invariance of the target distribution. The irreversible methods we…

Statistical Mechanics · Physics 2021-02-03 Fahim Faizi , Pedro J. Buigues , George Deligiannidis , Edina Rosta