Related Experiment Video
Updated: Jun 25, 2025
08:04
Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
8.4K
Bexcitonics: Quasiparticle approach to open quantum dynamics.
Xinxian Chen1, Ignacio Franco1,2
1Department of Chemistry, University of Rochester, Rochester, New York 14627, USA.
The Journal of Chemical Physics
|May 30, 2024
Summary
We introduce bexcitons, a novel quasiparticle approach, to accurately model open quantum systems interacting with complex thermal baths. This method enhances the Hierarchical Equations of Motion (HEOM) for non-Markovian dynamics.
Area of Science:
- Quantum Physics
- Computational Chemistry
- Condensed Matter Physics
Background:
- Open quantum systems require accurate modeling of system-bath interactions.
- The Hierarchical Equations of Motion (HEOM) is a powerful but computationally intensive method.
- Non-Markovian environments pose significant challenges for quantum dynamics simulations.
Purpose of the Study:
- To develop a novel quasiparticle approach for simulating open quantum systems.
- To generalize the HEOM framework for arbitrary bath complexities.
- To provide a systematic strategy for constructing exact quantum master equations.
Main Methods:
- Development of a quasiparticle approach based on fictitious bosonic particles called bexcitons.
- Decomposition of bath correlation functions into discrete bexciton features.
- Generalization of HEOM dynamics by mapping to bexciton interactions.
Main Results:
- Bexcitation creation and annihilation couple auxiliary density matrices in HEOM.
- The approach constructs exact quantum master equations for non-Markovian environments.
- Bexcitation properties offer insights into system-bath dynamics and numerical convergence.
- Analysis of HEOM instability in underdamped oscillator baths using bexcitons.
Conclusions:
- The bexciton picture provides a unified framework for various HEOM variants.
- Bexcitation analysis aids in understanding and improving the numerical stability of HEOM.
- The particle-like nature of bexcitons enables more efficient HEOM propagation methods.
Related Concept Videos
02:45The Quantum-Mechanical Model of an Atom
42.2K
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.
42.2K
02:32The de Broglie Wavelength
25.8K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
25.8K
03:06The Pauli Exclusion Principle
36.5K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
36.5K
02:18The Bohr Model
52.9K
Following the work of Ernest Rutherford and his colleagues in the early twentieth century, the picture of atoms consisting of tiny dense nuclei surrounded by lighter and even tinier electrons continually moving about the nucleus was well established. This picture was called the planetary model since it pictured the atom as a miniature “solar system” with the electrons orbiting the nucleus like planets orbiting the sun. The simplest atom is hydrogen, consisting of a single proton as...
52.9K
01:12Fermi Level Dynamics
241
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
241
01:27π Electron Effects on Chemical Shift: Overview
1.1K
An applied magnetic field causes loosely bound π-electrons in organic molecules to circulate, producing a local or induced diamagnetic field over a large spatial volume. As the molecules tumble in solution, the field generated by π-electrons in spherical substituents results in a zero net field. However, the net field generated by π-electrons in non-spherical substituents is not zero. The effect of this induced field depends on the orientation of the molecule with respect to B0,...
1.1K