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One of the primary challenges prohibiting demonstrations of practical quantum advantages for near-term devices amounts to excessive measurement overheads for estimating relevant physical quantities such as ground state energies. However,…

Oscillators are ubiquitous in nature, and usually associated with the existence of an asymptotic phase that governs the long-term dynamics of the oscillator. % We show that asymptotic phase can be estimated using a carefully chosen series…

Dynamical Systems · Mathematics 2022-03-10 Simon Wilshin , Matthew D. Kvalheim , Clayton Scott , Shai Revzen

The vibrational properties of two-dimensional phononic crystals are studied with large-scale molecular dynamics simulations and finite element method calculation. The vibrational band structure derived from the molecular dynamics…

Materials Science · Physics 2017-11-28 Ralf Meyer

A general theory of electronic excitations in aggregates of molecules coupled to intramolecular vibrations and the harmonic environment is developed for simulation of the third-order nonlinear spectroscopy signals. The model is applied in…

Chemical Physics · Physics 2014-01-17 Vytautas Butkus , Leonas Valkunas , Darius Abramavicius

Anharmonicities provide a wealth of information about the vibrational dynamics, mode coupling and energy transfer within a polyatomic system. In this contribution we show how driven molecular dynamics trajectories can be used to extract…

Chemical Physics · Physics 2023-12-08 Pascal Parneix , Romain Maupin , Loïse Attal , Florent Calvo , Cyril Falvo

We report electronic, vibrational, and rotational spectroscopic parameters for the ground state, X$^2\Sigma^{+}$, of singly charged aluminium monohalides, employing single-reference coupled-cluster theory with single and double excitations…

Atomic Physics · Physics 2025-03-11 Ankush Thakur , Renu Bala , H. S. Nataraj

We introduce a general approach for the simulation of quantum vibrational states of (symmetric and asymmetric) double-well potentials in molecules and materials for thermodynamic and spectroscopic applications. The method involves solving…

This article covers few selected aspects of quantum theory of molecular rotations and vibrations. Triatomic molecules are the simplest systems, which show qualitative characteristics of larger polyatomic molecules. On the minimal example of…

Chemical Physics · Physics 2022-03-18 Emil J. Zak

We propose an iterative method for computing vibrational spectra that significantly reduces the memory cost of calculations. It uses a direct product primitive basis, but does not require storing vectors with as many components as there are…

Computational Physics · Physics 2014-05-13 Arnaud Leclerc , Tucker Carrington

The path-integral formulation of the statistical mechanics of quantum many-body systems is described, with the purpose of introducing practicaltechniques for the simulation of solids. Monte Carlo and molecular dynamics methods for…

Materials Science · Physics 2014-03-11 Carlos P. Herrero , Rafael Ramirez

In the present work, we give an analytical non-perturbative treatment of mode-mode coupling and anharmonicity occurring in molecular vibrational systems analyzed by 2D-infrared spectroscopy. This analytical description allows a detailed…

Chemical Physics · Physics 2013-09-04 Kuo Kan Liang , Albert A. Villaeys

We have developed a formulation of density functional perturbation theory for the calculation of vibrational frequencies in molecules and solids, which uses numerical atomic orbitals as a basis set for the electronic states. The (harmonic)…

Materials Science · Physics 2007-05-23 J. M. Pruneda , S. K. Estreicher , J. Junquera , J. Ferrer , P. Ordejon

Understanding the molecular vibrations underlying each of the unknown infrared emission (UIE) bands (such as those found at 3.3, 3.4, 3.5, 6.2, 6.9, 7.7, 11.3, 15.8, 16.4, 18.9 mm) observed in or towards astronomical objects is a vital link…

Astrophysics of Galaxies · Physics 2018-11-22 SeyedAbdolreza Sadjadi , Quentin Andrew Parker

Accurately simulating molecular vibronic spectra remains computationally challenging due to the exponential scaling of required calculations. Here, we show that employing the linear coupling model within the gaussian boson sampling…

Quantum Physics · Physics 2025-08-07 I. Konyshev , R. Pradip , O. Page , C. Ünlüer , R. T. Nasibullin , V. V. Rybkin , W. Pernice , S. Ferrari

We performed molecular dynamics simulations on a one-dimensional diatomic gas to investigate the possible long time scale inherent in heterogeneous Hamiltonian systems. The exponentially long time scale for energy sharing between the…

Statistical Mechanics · Physics 2007-05-23 Yoshihiro Watanabe , Nobuko Fuchikami

High-level vibrational calculations have been used to investigate anharmonicity in a wide variety of materials using density-functional-theory (DFT) methods. We have developed a new and efficient approach for describing strongly-anharmonic…

Materials Science · Physics 2017-06-20 Joseph C. A. Prentice , R. J. Needs

We consider the dynamical properties of a simple model of vibrational surface modes. We obtain the exact spectrum of surface excitations and discuss their dynamical features. In addition to the usually discussed localized and oscillatory…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 H. L. Calvo , H. M. Pastawski

Wave-function Monte Carlo methods are an important tool for simulating quantum systems, but the standard method cannot be used to simulate decoherence in continuously measured systems. Here we present a new Monte Carlo method for such…

Quantum Physics · Physics 2013-05-29 Kurt Jacobs

We develop a fully quantum mechanical methodology to describe the static properties and the dynamics of a single anharmonic vibrational mode interacting with a quantized infrared cavity field in the strong and ultrastrong coupling regimes.…

Chemical Physics · Physics 2020-06-22 Johan F. Triana , Federico J. Hernández , Felipe Herrera

In this paper we present a straightforward systematic method for the exact and approximate calculation of integrals that appear in formulas for the period of anharmonic oscillators and other problems of interest in classical mechanics.

Mathematical Physics · Physics 2009-11-10 Paolo Amore , Francisco M. Fernandez