Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

56.5K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
56.5K
Hybridization of Atomic Orbitals II03:35

Hybridization of Atomic Orbitals II

47.9K
sp3d and sp3d 2 Hybridization
47.9K
Hybridization of Atomic Orbitals I03:24

Hybridization of Atomic Orbitals I

65.5K
The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
65.5K
Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

2.1K
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
2.1K
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

7.9K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
7.9K
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

4.1K
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
4.1K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Exact tunneling splittings from path-integral hybrid Monte Carlo with enveloping bridging potentials.

The Journal of chemical physics·2026
Same author

High-Accuracy Molecular Simulations with Machine-Learning Potentials and Semiclassical Approximations to Quantum Dynamics.

Chimia·2026
Same author

Nonadiabatic rare events from transition-path sampling of MASH trajectories.

The Journal of chemical physics·2026
Same author

Ring-polymer instanton theory for tunneling between asymmetric wells.

The Journal of chemical physics·2026
Same author

Advantages of discrete variable representation in variational quantum eigensolvers for vibrational energy calculations.

Physical chemistry chemical physics : PCCP·2026
Same author

Nonadiabatic ImF instanton rate theory.

The Journal of chemical physics·2026
Same journal

The x-ray absorption spectrum of the propargyl radical C3H3●.

The Journal of chemical physics·2026
Same journal

Transient hydroperoxyalkyl intermediates (•QOOH) in isopentane oxidation. I. Conformer- and isomer-resolved infrared spectra.

The Journal of chemical physics·2026
Same journal

Transient hydroperoxyalkyl intermediates (•QOOH) in isopentane oxidation. II. Isomer-resolved unimolecular dynamics.

The Journal of chemical physics·2026
Same journal

Quantum state-to-state dynamics studies of the C(3P) + OH(X2Π) → CO(a3Π) + H(2S) reaction based on a new HCO(12A″) potential energy surface.

The Journal of chemical physics·2026
Same journal

Time-resolved ultrabroadband far-to-mid-infrared spectroscopy directly reveals doorway-mediated vibrational energy flow in an energetic crystal (β-HMX).

The Journal of chemical physics·2026
Same journal

Anomalous phase behaviors near the multiphase coexistence point in 1-alkyl-3-methylimidazolium ionic liquids.

The Journal of chemical physics·2026
See all related articles

Related Experiment Video

Updated: Jan 15, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

1.1K

Open quantum-classical systems: A hybrid MASH master equation.

Kasra Asnaashari1, Jeremy O Richardson1

  • 1Institute of Molecular Physical Science, ETH Zurich, 8093 Zurich, Switzerland.

The Journal of Chemical Physics
|January 14, 2026
PubMed
Summary
This summary is machine-generated.

We developed a new method combining surface hopping with Lindblad dynamics for simulating open quantum systems. This approach accurately models quantum systems interacting with both quantum baths and classical environments.

More Related Videos

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.6K
Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
05:51

Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method

Published on: July 19, 2019

6.6K

Related Experiment Videos

Last Updated: Jan 15, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

1.1K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.6K
Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
05:51

Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method

Published on: July 19, 2019

6.6K

Area of Science:

  • Quantum dynamics
  • Computational chemistry
  • Theoretical physics

Background:

  • Simulating open quantum systems is computationally challenging.
  • Existing methods struggle with simultaneous Markovian quantum baths and non-Markovian classical environments.

Purpose of the Study:

  • To develop a novel computational method for simulating open quantum systems.
  • To accurately model systems interacting with both quantum and classical environments.

Main Methods:

  • Combines quantum-classical mapping (surface hopping) with Lindblad master equation dynamics.
  • Uses stochastic quantum trajectories from secular Redfield theory instead of the Schrödinger equation.
  • Simulates open quantum systems coupled to Markovian quantum baths and anharmonic, non-Markovian classical degrees of freedom.

Main Results:

  • The proposed method shows excellent agreement with fully quantum-mechanical benchmarks.
  • Successfully applied to the spin-boson model.
  • Demonstrated effectiveness in simulating cavity-enhanced fluorescence of nonadiabatic molecules.

Conclusions:

  • The new method provides an accurate and efficient way to simulate complex open quantum systems.
  • It bridges the gap between quantum and classical dynamics in dissipative environments.
  • Offers a powerful tool for studying molecular dynamics and quantum phenomena.