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

60.3K
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.
60.3K
The Uncertainty Principle04:08

The Uncertainty Principle

33.6K
Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
33.6K
The de Broglie Wavelength02:32

The de Broglie Wavelength

34.0K
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...
34.0K
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

2.0K
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
2.0K
Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

2.7K
Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area vector...
2.7K
Calculation of First Law Quantities I01:25

Calculation of First Law Quantities I

11
Thermodynamic systems undergoing phase transitions or temperature changes experience energy transfer in the form of heat (q) and work (w). For a reversible phase change at constant temperature (T) and pressure (p), the process involves no chemical reaction but results in energy exchange between distinct phases.The heat transferred during this process corresponds to the latent heat of transition, which is the amount of heat energy absorbed or released by a substance when it changes from one...
11

You might also read

Related Articles

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

Sort by
Same author

Ghost embedding bridging chemistry and one-body theories.

The Journal of chemical physics·2026
Same author

Mott resistive switching initiated by topological defects.

Nature communications·2024
Same author

Prognostic Role of Early Cardiac Magnetic Resonance in Myocardial Infarction With Nonobstructive Coronary Arteries.

JACC. Cardiovascular imaging·2023
Same author

Spin-Liquid Insulators Can Be Landau's Fermi Liquids.

Physical review letters·2023
Same author

Echocardiographic Markers in the Diagnosis of Cardiac Masses.

Journal of the American Society of Echocardiography : official publication of the American Society of Echocardiography·2023
Same author

Development and Validation of a Diagnostic Echocardiographic Mass Score in the Approach to Cardiac Masses.

JACC. Cardiovascular imaging·2022

Related Experiment Video

Updated: Mar 2, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

10.4K

Quantum fluctuations beyond the Gutzwiller approximation.

Michele Fabrizio1

  • 1International School for Advanced Studies (SISSA), Via Bonomea 265, I-34136 Trieste, Italy.

Physical Review. B
|May 16, 2017
PubMed
Summary
This summary is machine-generated.

We introduce a new method to calculate linear response functions with quantum fluctuations, improving upon the Gutzwiller approximation. This approach accurately captures magnetic susceptibility near the Mott transition, unlike simpler methods.

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

9.8K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

9.1K

Related Experiment Videos

Last Updated: Mar 2, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

10.4K
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

9.8K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

9.1K

Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Theory
  • Computational Physics

Background:

  • The Gutzwiller approximation is a powerful tool for studying strongly correlated electron systems.
  • Accurately describing quantum fluctuations is crucial for understanding material properties, especially near phase transitions.
  • Dynamical Mean Field Theory (DMFT) provides valuable insights but can be computationally intensive.

Purpose of the Study:

  • To develop a computationally tractable method for evaluating linear response functions beyond the standard Gutzwiller approximation.
  • To incorporate quantum fluctuation corrections into the Gutzwiller framework.
  • To investigate the behavior of magnetic susceptibility across the paramagnetic Mott transition.

Main Methods:

  • A novel scheme for linear response calculations is derived for generic multiband lattice Hamiltonians.
  • The method treats variational correlation parameters as dynamical degrees of freedom.
  • The approach is applied to the single-band Hubbard model.

Main Results:

  • The developed method successfully reproduces known results for the Hubbard model.
  • Quantum fluctuations, when included, quantitatively capture the uniform magnetic susceptibility near the Mott transition.
  • The results align closely with findings from Dynamical Mean Field Theory (DMFT).

Conclusions:

  • The proposed method offers a significant improvement over the basic Gutzwiller approximation for linear response calculations.
  • It provides a more accurate description of magnetic properties, particularly across the Mott transition.
  • This approach offers a computationally efficient alternative to methods like DMFT for certain problems.