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A broad class of systems, including ecological, epidemiological, and sociological ones, are characterized by populations of individuals assigned to specific categories, e.g., a chemical species, an opinion or an epidemic state, that are…

Statistical Mechanics · Physics 2025-07-17 Giorgio Vittorio Visco , Johannes Nauta , Tomas Scagliarini , Oriol Artime , Manlio De Domenico

Quantum simulations of lattice gauge theories offer the potential to directly study the non-perturbative dynamics of quantum chromodynamics, but naive analyses suggest that they require large computational resources. Large $N_c$ expansions…

High Energy Physics - Lattice · Physics 2026-02-19 Anthony N. Ciavarella , I. M. Burbano , Christian W. Bauer

We show how to simulate a model of many molecules with both strong coupling to many vibrational modes and collective coupling to a single photon mode. We do this by combining process tensor matrix product operator methods with a mean-field…

Quantum Gases · Physics 2022-10-24 Piper Fowler-Wright , Brendon W. Lovett , Jonathan Keeling

In statistical physics, the challenging combinatorial enumeration of the configurations of a system subject to hard constraints (microcanonical ensemble) is mapped to a mathematically easier calculation where the constraints are softened…

Statistical Mechanics · Physics 2017-11-01 Tiziano Squartini , Diego Garlaschelli

Strong coupling of organic molecules to the vacuum field of a nanoscale cavity can be used to modify their chemical and physical properties. We extend the Tavis-Cummings model for molecular ensembles and show that the often neglected…

Chemical Physics · Physics 2024-08-01 Lucas Borges , Thomas Schnappinger , Markus Kowalewski

Massively-parallel molecular dynamics simulation is applied to systems containing electrolytes, vapour-liquid interfaces, and biomolecules in contact with water-oil interfaces. Novel molecular models of alkali halide salts are presented and…

Critical decisions frequently rely on high-dimensional output from complex computer simulation models that show intricate cross-variable, spatial and temporal dependence structures, with weather and climate predictions being key examples.…

Methodology · Statistics 2013-12-24 Roman Schefzik , Thordis L. Thorarinsdottir , Tilmann Gneiting

We consider the sampling of the coupled cluster expansion within stochastic coupled cluster theory. Observing the limitations of previous approaches due to the inherently non-linear behaviour of a coupled cluster wavefunction representation…

Chemical Physics · Physics 2018-08-14 Charles J. C. Scott , Alex J. W. Thom

Quantum dynamics compilation is an important task for improving quantum simulation efficiency: It aims to synthesize multi-qubit target dynamics into a circuit consisting of as few elementary gates as possible. Compared to deterministic…

Quantum Physics · Physics 2024-09-26 Yuxuan Zhang , Roeland Wiersema , Juan Carrasquilla , Lukasz Cincio , Yong Baek Kim

The Coupled Cluster (CC) method is used to compute the electronic correlation energy in atoms and molecules and often leads to highly accurate results. However, due to its single-reference nature, standard CC in its projected form fails to…

Molecular fragment or embedding methods are powerful techniques for overcoming scalability limitations in electronic structure theory by dividing large molecular systems into individual units that are small enough to be treated using…

Chemical Physics · Physics 2017-08-14 Jason N. Byrd , Robert W. Molt, , Rodney J. Bartlett , Beverly A. Sanders

In this work the determination of low-energy bound states in Quantum Chromodynamics is recast so that it is linked to a weak-coupling problem. This allows one to approach the solution with the same techniques which solve Quantum…

High Energy Physics - Theory · Physics 2009-10-28 K. G. Wilson , T. Walhout , A. Harindranath , W. M. Zhang , R. J. Perry , S. Glazek

The interaction of an ensemble of $N$ two-level atoms with a single mode electromagnetic field is described by the Tavis-Cummings model. There, the collectively enhanced light-matter coupling strength is given by $g_N = \sqrt{N} \bar{g}_1$,…

Quantum Physics · Physics 2022-02-09 Martin Blaha , Aisling Johnson , Arno Rauschenbeutel , Jürgen Volz

Adiabatic mixed quantum/classical molecular dynamics simulations were used to generate snapshots of the hydrated electron (e-) in liquid water at 300 K. Water cluster anions that include two complete solvation shells centered on the e- were…

Data Analysis, Statistics and Probability · Physics 2016-09-28 Ilya A. Shkrob , William J. Glover , Ross E. Larsen , Benjamin J. Schwartz

Crystallization is one of the most important physicochemical processes which has relevance in material science, biology, and the environment. Decades of experimental and theoretical efforts have been made to understand this fundamental…

Soft Condensed Matter · Physics 2022-09-29 Neha , Vikas Tiwari , Soumya Mondal , Nisha Kumari , Tarak Karmakar

The weighted ensemble (WE) simulation strategy provides unbiased sampling of non-equilibrium processes, such as molecular folding or binding, but the extraction of rate constants relies on characterizing steady state behavior.…

Statistical Mechanics · Physics 2020-10-02 Jeremy Copperman , Daniel Zuckerman

Protein function does not solely depend on structure but often relies on dynamical transitions between distinct conformations. Despite this fact, our ability to characterize or predict protein dynamics is substantially less developed…

Statistical Mechanics · Physics 2026-05-08 Michael A. Sauer , Souvik Mondal , Brandon Neff , Sthitadhi Maiti , Matthias Heyden

Polaritonic chemistry investigates the possible modification of chemical and photochemical reactions by means of strong light-matter coupling in optical cavities, as demonstrated in numerous experiments over the last few years. These…

Quantum Physics · Physics 2025-07-30 Lucas Borges , Thomas Schnappinger , Markus Kowalewski

In order to increase the efficiency of the computer simulation of biological molecules, it is very common to impose holonomic constraints on the fastest degrees of freedom; normally bond lengths, but also possibly bond angles. However, as…

Chemical Physics · Physics 2011-12-19 Pablo Echenique , Claudio N. Cavasotto , Pablo García-Risueño

We employ the exact factorization of a multi-component wavefunction to analyze the dynamics of interacting photons, electrons and nuclei. We consider physical situations emerging in the regime of strong coupling between light excitations…

Chemical Physics · Physics 2026-04-24 Claudia Magi , Peter Schuerger , David Lauvergnat , Federica Agostini