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In this paper, we report a numerical method for analyzing optical radiation from a two-level atom. The proposed method can consistently consider the optical emission and absorption process of an atom, and also the interaction between atoms…

Optics · Physics 2019-05-29 Hideaki Taniyama , Hisashi Sumikura , Masaya Notomi

Ever since the formulation of quantum mechanics, there is very little understanding of the process of the collapse of a wavefunction. We have proposed a dynamical model to emulate the measurement postulates of quantum mechanics. We…

Quantum Physics · Physics 2023-08-16 Gurpahul Singh , Ritesh K. Singh , Soumitro Banerjee

We discuss the structure of the equation of motion that governs nucleation processes at first order phase transitions. From the underlying microscopic dynamics of a nucleating system, we derive by means of a non-equilibrium projection…

Statistical Mechanics · Physics 2019-12-04 Anja Kuhnhold , Hugues Meyer , Graziano Amati , Philipp Pelagejcev , Tanja Schilling

In this work, surface diffusion is studied with a different perspective by showing how the corresponding open dynamics is transformed when passing, in a continuous and smooth way, from a pure quantum regime to a full classical regime; the…

Materials Science · Physics 2025-10-02 E. E. Torres-Miyares , S. Miret-Artés

Friction in atomistic systems is usually described by the classical Prandtl-Tomlinson model suitable for capturing the dragging force of a nanoparticle in a periodic potential. Here we consider the quantum mechanical version of this model…

Quantum Physics · Physics 2026-04-22 Dai-Nam Le , Pablo Rodriguez-Lopez , Lilia M. Woods

Using a group theoretical approach we derive an equation of motion for a mixed quantum-classical system. The quantum-classical bracket entering the equation preserves the Lie algebra structure of quantum and classical mechanics: The bracket…

Quantum Physics · Physics 2009-10-30 Oleg V. Prezhdo , Vladimir V. Kisil

In this paper, we study the dissipative dynamics of the Jaynes-Cummings model with phase damping in the presence of a classical homogeneous gravitational field. The model consists of a moving two-level atom simultaneously exposed to the…

Quantum Physics · Physics 2009-11-13 M. Mohammadi , M. H. Naderi , M. Soltanolkotabi

Using a newly introduced connection between the local and non-local description of open quantum system dynamics, we investigate the relationship between these two characterisations in the case of quantum semi-Markov processes. This class of…

Quantum Physics · Physics 2020-08-24 Nina Megier , Andrea Smirne , Bassano Vacchini

The powerful molecular dynamics (MD) simulation is basically based on a picture that the atoms experience classical-like trajectories under the exertion of classical force field determined by the quantum mechanically solved electronic…

Chemical Physics · Physics 2013-12-16 Wei Feng , Luting Xu , Xin-Qi Li , Weihai Fang

In this paper, we derive equations of motion for the normal-order, the symmetric-order and the antinormal-order quantum characteristic functions, applicable for general Hamiltonian systems. We do this by utilizing the `characteristic form'…

Quantum Physics · Physics 2008-05-02 Itay Hen , Amir Kalev

Active matter denotes a system of particles immersed in an external environment, from which the particles extract energy continuously in order to perform directed motion. Extending the paradigm of active matter to a quantum framework…

We explore dissipative quantum tunnelling, a phenomenon central to various physical and chemical processes, using a double-well potential model. This paper aims to bridge gaps in understanding the crossover from thermal activation to…

Quantum Physics · Physics 2024-05-16 Robson Christie , Jessica Eastman

The application of a classical approach to various quantum problems - the secular perturbation approach to quantization of a hydrogen atom in external fields and a helium atom, the adiabatic switching method for calculation of a…

Quantum Physics · Physics 2015-05-18 Evgeni A. Solov'ev

Quantum computers hold great promise for arriving at exact simulations of nuclear dynamical processes (e.g., scattering and reactions) that are paramount to the study of nuclear matter at the limit of stability and to explaining the…

Einstein's Brownian motion of a quantum particle in a classical environment is studied via virial and equipartition theorems. The effect of continuous measurement in a strongly dissipative environment is accounted for and a quantum…

Quantum Physics · Physics 2012-11-13 R. Tsekov

A concise and self-contained derivation of hybrid quantum-classical dynamics is given in terms of Markovian master equations. Many previously known results are re-derived, revised, some of them completed or corrected. Using as simple method…

Quantum Physics · Physics 2024-10-23 Lajos Diósi

The quantum master equation (QME), used to describe the Markov process of interaction between atoms and field, has a number of significant drawbacks. It is extremely memory intensive, and also inapplicable to the case of long-term memory in…

Quantum Physics · Physics 2024-10-29 Yuri Ozhigov , You Jiangchuan

We develop an interacting extension of the Double Covariance Model (DCM), a stochastic subquantum framework in which macroscopic quantum dynamics emerge through coarse-graining of correlated microscopic fluctuations. Starting from local…

Quantum Physics · Physics 2026-05-29 Andrei Khrennikov

In computer simulations, quantum delocalization of atomic nuclei can be modeled making use of the Path Integral (PI) formulation of quantum statistical mechanics. This approach, however, comes with a large computational cost. By restricting…

Statistical Mechanics · Physics 2015-04-13 Karsten Kreis , Mark E. Tuckerman , Davide Donadio , Kurt Kremer , Raffaello Potestio

We explore the relaxation dynamics of quantum many-body systems that undergo purely dissipative dynamics through non-classical jump operators that can establish quantum coherence. Our goal is to shed light on the differences in the…

Quantum Physics · Physics 2015-06-22 Beatriz Olmos , Igor Lesanovsky , Juan P. Garrahan