Related Experiment Video
Updated: Aug 10, 2025
08:04
Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
8.5K
Vertex-Based Diagrammatic Treatment of Light-Matter-Coupled Systems
Aaram J Kim1, Katharina Lenk2, Jiajun Li1,3
1Department of Physics, University of Fribourg, 1700 Fribourg Switzerland.
Physical Review Letters
|February 10, 2023
Summary
We developed a new quantum impurity model algorithm using diagrammatic Monte Carlo. This method provides numerically exact results, revealing a spin delocalization-localization crossover and an effective Rabi model in certain regimes.
Area of Science:
- Quantum Many-Body Physics
- Computational Physics
- Quantum Optics
Background:
- Quantum impurity models are crucial for understanding complex quantum systems.
- Existing methods like strong-coupling expansion have limitations in parameter regimes.
- Accurate numerical simulations are essential for exploring quantum phenomena.
Purpose of the Study:
- To introduce a novel diagrammatic Monte Carlo approach for quantum impurity models.
- To achieve numerically exact results in a broad range of parameters.
- To apply and validate the method using the spin-boson model.
Main Methods:
- Diagrammatic Monte Carlo algorithm.
- Self-consistently computed three-point vertex.
- Stochastically sampled four-point vertex.
- Application to a spin-boson model of an emitter in a waveguide.
Main Results:
- The algorithm yields numerically exact solutions for quantum impurity models.
- A delocalization-localization crossover of the spin was observed at low temperatures.
- Real-time relaxation dynamics show qualitative changes.
- Effective Rabi model parameters were identified for specific coupling regimes.
- Spatial distribution of photon density around the emitter was analyzed.
Conclusions:
- The proposed diagrammatic Monte Carlo method is a powerful tool for quantum impurity models.
- The spin-boson model exhibits complex behavior including crossovers and effective models.
- This approach advances the simulation of open quantum systems and quantum optics phenomena.
Related Concept Videos
01:12Bewley Lattice Diagram
804
The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
804
01:10Energy Diagrams - II
4.7K
Energy diagrams are important to understand the dynamics of a system. The topology of an energy diagram helps illustrate the equilibrium points of the system.
The point in the energy diagram at which the system’s potential energy is the lowest is known as the local minima. The system tends to stay in this position indefinitely unless acted upon by a net force. The slope of the potential energy diagram at the local minima is zero, indicating that zero net force is acting on the system. The...
The point in the energy diagram at which the system’s potential energy is the lowest is known as the local minima. The system tends to stay in this position indefinitely unless acted upon by a net force. The slope of the potential energy diagram at the local minima is zero, indicating that zero net force is acting on the system. The...
4.7K
02:13Energy Diagrams, Transition States, and Intermediates
16.9K
Free-energy diagrams, or reaction coordinate diagrams, are graphs showing the energy changes that occur during a chemical reaction. The reaction coordinate represented on the horizontal axis shows how far the reaction has progressed structurally. Positions along the x-axis close to the reactants have structures resembling the reactants, while positions close to the products resemble the products. Peaks on the energy diagram represent stable structures with measurable lifetimes, while...
16.9K
01:14Energy Diagrams - I
5.1K
The dynamics of a mechanical system can be easily understood by interpreting a potential energy diagram. Since energy is a scalar quantity, the interpretation of the dynamics of the system becomes even simpler.
Take the example of a skater on a parabolic ramp. The potential energy at different points along the ramp will be proportional to the height of the ramp, which varies quadratically with the horizontal position on the ramp. As the skater moves down the ramp from the highest position,...
Take the example of a skater on a parabolic ramp. The potential energy at different points along the ramp will be proportional to the height of the ramp, which varies quadratically with the horizontal position on the ramp. As the skater moves down the ramp from the highest position,...
5.1K
01:25Deactivation Processes: Jablonski Diagram
797
Luminescence, the emission of light by a substance that has absorbed energy, is a process that involves the interaction of molecules with light. The energy-level diagram, or Jablonski diagram, is a graphical representation of these interactions, illustrating the various states and transitions a molecule can undergo. In a typical Jablonski diagram, the lowest horizontal line represents the ground-state energy of the molecule, which is usually a singlet state. This state represents the energies...
797
02:12The Wave Nature of Light
49.5K
The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion.
49.5K