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We derive two path integral estimators for the derivative of the quantum mechanical potential of mean force (PMF), which may be numerically integrated to yield the PMF. For the first estimator, we perform the differentiation on the exact…

Chemical Physics · Physics 2021-10-08 Dmitri Iouchtchenko , Kevin P. Bishop , Pierre-Nicholas Roy

Two of the most successful methods that are presently available for simulating the quantum dynamics of condensed phase systems are centroid molecular dynamics (CMD) and ring polymer molecular dynamics (RPMD). Despite their conceptual…

Chemical Physics · Physics 2014-07-04 Mariana Rossi , Michele Ceriotti , David E. Manolopoulos

The dynamics of quasicrystals is characterized by the existence of phason excitations in addition to the usual phonon modes. In order to investigate their interplay on an elementary level we resort to various one-dimensional model systems.…

Other Condensed Matter · Physics 2007-05-23 Michael Engel , Steffen Sonntag , Hansjörg Lipp , Hans-Rainer Trebin

The phonon Casimir effect describes the phonon-mediated interaction between defects in condensed-matter systems. Using the path-integral formalism, we derive a general method for calculating the Helmholtz free energy due to vibrational…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Gideon Lee , Aleksandr Rodin

Machine learning approaches have recently emerged as powerful tools to probe structure-property relationships in crystals and molecules. Specifically, Machine learning interatomic potentials (MLIP) can accurately reproduce first-principles…

Materials Science · Physics 2024-03-01 Sasaank Bandi , Chao Jiang , Chris A. Marianetti

Glasses show vibrational properties that are markedly different to those of crystals which are known as phonons. For example, excess low-frequency modes (the so-called boson peak), vibrational localization, and strong scattering of phonons…

Soft Condensed Matter · Physics 2021-01-06 Hideyuki Mizuno , Atsushi Ikeda

Simulating quantum systems is believed to be one of the first applications for which quantum computers may demonstrate a useful advantage. For many problems in physics, we are interested in studying the evolution of the electron-phonon…

Quantum Physics · Physics 2022-09-02 Ben Jaderberg , Alexander Eisfeld , Dieter Jaksch , Sarah Mostame

A first-principles-based method for computing phonons of magnetic random solid solutions including thermal magnetic fluctuations is developed. The method takes fluctuations of force constants (FCs) due to magnetic excitations as well as due…

Materials Science · Physics 2019-08-07 Yuji Ikeda , Fritz Körmann , Biswanath Dutta , Abel Carreras , Atsuto Seko , Jörg Neugebauer , Isao Tanaka

This work explores the behaviour of a noncommutative harmonic oscillator in a time-dependent background, as previously investigated in [1]. Specifically, we examine the system when expressed in terms of commutative variables, utilizing a…

Quantum Physics · Physics 2024-07-10 Manjari Dutta , Shreemoyee Ganguly , Sunandan Gangopadhyay

Quantum harmonic oscillators are central to many modern quantum technologies. We introduce a method to determine the frequency noise spectrum of oscillator modes through coupling them to a qubit with continuously driven…

The energy levels of quantum systems are determined by quantization conditions. For one-dimensional anharmonic oscillators, one can transform the Schrodinger equation into a Riccati form, i.e., in terms of the logarithmic derivative of the…

Mathematical Physics · Physics 2013-09-10 Ulrich D. Jentschura , Jean Zinn-Justin

We introduce an improved semiclassical dynamics approach to quantum vibrational spectroscopy. In this method, a harmonic-based phase space sampling is preliminarily driven toward non-harmonic quantization by slowly switching on the actual…

Chemical Physics · Physics 2019-12-09 Riccardo Conte , Lorenzo Parma , Chiara Aieta , Alessandro Rognoni , Michele Ceotto

It is now established that nuclear quantum motion plays an important role in determining water's hydrogen bonding, structure, and dynamics. Such effects are important to include in density functional theory (DFT) based molecular dynamics…

Chemical Physics · Physics 2018-12-20 Daniel C. Elton , Michelle Fritz , M. -V. Fernández-Serra

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

Matter-wave interferometers utilizing different isotopes or chemical elements intrinsically have different sensitivities, and the analysis tools available until now are insufficient for accurately estimating the atomic phase difference…

By exploiting the correlation properties of ultracold atoms in a multi-mode interferometer, we show how quantum enhanced measurement precision can be achieved with strong robustness to particle loss. While the potential for enhanced…

Quantum Physics · Physics 2012-04-03 J. J. Cooper , D. W. Hallwood , J. A. Dunningham , J. Brand

We investigate the effect of tuning the phonon energy on the correlation effects in models of electron-phonon interactions using DMFT. In the regime where itinerant electrons, instantaneous electron-phonon driven correlations and static…

Strongly Correlated Electrons · Physics 2015-05-13 J. P. Hague , N. d'Ambrumenil

An equation of motion phonon method, developed for even nuclei and recently extended to odd systems with a valence particle, is formulated in the hole-phonon coupling scheme and applied to A=15 and A=21 isobars with a valence hole. The…

Nuclear Theory · Physics 2019-01-28 Giovanni De Gregorio , Frantisek Knapp , Nicola Lo Iudice , Petr Vesely

We review our recent development of a first-principles lattice dynamics method that can treat anharmonic effects nonperturbatively. The method is based on the self-consistent phonon theory and temperature-dependent phonon frequencies can be…

Materials Science · Physics 2018-01-29 Terumasa Tadano , Shinji Tsuneyuki

We investigate a scheme that makes a quantum non-demolition measurement of the excitation level of a mesoscopic mechanical oscillator by utilizing the anharmonic coupling between two elastic beam bending modes. The non-linear coupling…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. H. Santamore , A. C. Doherty , M. C. Cross