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Quantum transport through single molecules is essentially affected by molecular vibrations. We investigate the behavior of the prototype single-level model with intermediate electron-vibron coupling and arbitrary coupling to the leads. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dmitry A. Ryndyk , Gianaurelio Cuniberti

We propose a new method to characterize the spatial distribution of particles' vibrations in solids with much lower computational costs compared to the usual normal mode analysis. We excite the specific vibrational mode in a two dimensional…

Soft Condensed Matter · Physics 2016-05-24 Elsen Tjhung , Takeshi Kawasaki

An algebraic model based on Lie-algebraic techniques is applied to the analysis of thermodynamic vibrational properties of diatomic molecules. The local anharmonic effects are described by a Morse-like potential and corresponding anharmonic…

Statistical Mechanics · Physics 2007-05-23 Maia Angelova , A. Frank

This study investigates the dynamics of quantum information and computational resources using a tractable model of coupled harmonic oscillators. We precisely characterize the interplay between mutual information, synchronization, and…

Quantum Physics · Physics 2026-01-06 Reza Pirmoradian , M Reza Tanhayi

Classical tools of nonlinear dynamics are used to study the highly excited vibrations of small molecules. For effective Hamiltonians with one polyad number (approximate constant of motion), previously developed methods locate new anharmonic…

Chaotic Dynamics · Physics 2009-09-29 V. Tyng

We show that the combination of molecular chirality and phase-controlled driving can lead to rectification of vibrational energy transfer. We demonstrate this effect using classical models of (1) a single helical chain and (2) a more…

Chemical Physics · Physics 2025-10-31 Jichen Feng , Ethan Abraham , Joseph E. Subotnik , Abraham Nitzan

We present a novel hierarchical quantum master equation (HQME) approach which provides a numerically exact description of nonequilibrium charge transport in nanosystems with electronic-vibrational coupling. In contrast to previous work…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 C. Schinabeck , R. Härtle , M. Thoss

Understanding the thermodynamic properties of quantum systems is essential for developing energy-efficient quantum technologies. In this regard, this work explores the application of quantum computational methods to study the quantum…

Quantum Physics · Physics 2025-05-20 Lucas Galvão , Ana Clara das Neves , Maron Anka , Clebson Cruz

Predictive modeling of the phonon/thermal transport properties of materials is vital to rational design for a diverse spectrum of engineering applications. Classical Molecular Dynamics (MD) simulations serve as a tool to simulate the time…

Experiments studying vibrational effects on electronic transport through single molecules have observed several seemingly inconsistent behaviors, ranging from up to 30 harmonics of a vibrational frequency in one experiment, to an absence of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Vivek Aji , J. E. Moore , C. M. Varma

Double-$\gamma$ vibrations in deformed nuclei are studied in the context of the interacting boson model with special reference to their anharmonic character. It is shown that large anharmonicities can be obtained with interactions that are…

Nuclear Theory · Physics 2009-10-31 J. E. Garcia-Ramos , C. E. Alonso , J. M. Arias , P. Van Isacker

The behavior of polyatomic molecules around their equilibrium positions can be regarded as quantum coupled anharmonic oscillators. Solving the corresponding Schr\"odinger equations can interpret or predict experimental spectra of molecules.…

Chemical Physics · Physics 2024-07-10 Qi Zhang , Rui-Si Wang , Lei Wang

Employing a recently developed method that is numerically accurate within a model space simulating the real-time dynamics of few-body systems interacting with macroscopic environmental quantum fields, we analyze the full dynamics of an…

Quantum Physics · Physics 2013-03-07 Javier Prior , Inés de Vega , Alex W. Chin , Susana F. Huelga , Martin B. Plenio

We study the translational motions of homonuclear diatomic molecules prepared in their ${}^3\Sigma$ electronic states, deeply bound vibrational states, and rotational states of well-defined parity. The trapping potential arises due to the…

Mathematical Physics · Physics 2026-03-05 Yurij Yaremko , Maria Przybylska , Andrzej J. Maciejewski

Molecular vibrations and their dynamics are of outstanding importance for electronic and thermal transport in nanoscale devices as well as for molecular catalysis. The vibrational dynamics of <100 molecules are studied through three-colour…

We analyze the interplay between vibrational and electronic degrees of freedom in charge transport across a molecular single-electron transistor. We focus on the wide class of molecules which possess quasi-degenerate vibrational…

Soft Condensed Matter · Physics 2007-05-23 Andrea Donarini , Milena Grifoni , Klaus Richter

A real-space formalism for density-functional perturbation theory (DFPT) is derived and applied for the computation of harmonic vibrational properties in molecules and solids. The practical implementation using numeric atom-centered…

Materials Science · Physics 2017-03-08 Honghui Shang , Christian Carbogno , Patrick Rinke , Matthias Scheffler

We design optimal trajectories to transport cold atoms in anharmonic traps, combining invariant-based inverse engineering, perturbation theory, and optimal control theory. The anharmonic perturbation energy is minimized constraining the…

Quantum Physics · Physics 2016-08-06 Qi Zhang , J. G. Muga , D. Guéry-Odelin , Xi Chen

We use the dynamical invariants associated with the Hamiltonian of an atom in a one dimensional moving trap to inverse engineer the trap motion and perform fast atomic transport without final vibrational heating. The atom is driven…

Quantum Physics · Physics 2011-02-18 E. Torrontegui , S. Ibáñez , Xi Chen , A. Ruschhaupt , D. Guéry-Odelin , J. G. Muga

Understanding the ultrafast vibrational relaxation following photoexcitation of molecules in a condensed phase is essential to predict the outcome and improve the efficiency of photoinduced molecular processes. Here, the vibrational…

Chemical Physics · Physics 2025-02-18 Benedikt O Birgisson , Asmus Ougaard Dohn , Hannes Jónsson , Gianluca Levi
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