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

42.1K
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.
42.1K
The de Broglie Wavelength02:32

The de Broglie Wavelength

25.4K
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...
25.4K
The Uncertainty Principle04:08

The Uncertainty Principle

23.2K
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...
23.2K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

35.5K
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:
35.5K
Fisher's Exact Test01:08

Fisher's Exact Test

393
Fisher's exact test is a statistical significance test widely used to analyze 2x2 contingency tables, particularly in situations where sample sizes are small. Unlike the chi-squared test, which approximates P-values and assumes minimum expected frequencies of at least five in each cell, Fisher's exact test calculates the exact probability (P-value) of observing the data or more extreme results under the null hypothesis. This feature makes it especially valuable when the assumptions of...
393
Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

2.6K
The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
2.6K

You might also read

Related Articles

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

Sort by
Same author

Analytical determination of multitime correlation functions in quantum chaotic systems.

Physical review. E·2026
Same author

Pulmonary Hypertension in Pediatric Patients with Noonan Syndrome Undergoing Cardiac Catheterization.

Pediatric cardiology·2026
Same author

Emerging Non-Hermitian Topology in a Chiral-Driven-Dissipative Bose-Hubbard Model.

Physical review letters·2025
Same author

Long-term outcomes after the mesenteric artery growth improves circulation (MAGIC) procedure for midaortic syndrome.

Surgery·2025
Same author

Problem hardness of diluted Ising models: Population annealing versus simulated annealing.

Physical review. E·2025
Same author

Multicenter Pivotal Trial of the Minima Stent for Vascular Stenosis in Infants and Young Children.

Circulation. Cardiovascular interventions·2025

Related Experiment Video

Updated: Jun 12, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

14.5K

Random matrix theory approach to quantum Fisher information in quantum ergodic systems.

Venelin P Pavlov1, Yoana R Chorbadzhiyska1, Charlie Nation2

  • 1Center for Quantum Technologies, Department of Physics, <a href="https://ror.org/02jv3k292">St. Kliment Ohridski University of Sofia</a>, James Bourchier 5 Blvd., 1164 Sofia, Bulgaria.

Physical Review. E
|September 19, 2024
PubMed
Summary

We explored quantum parameter estimation in chaotic systems using random matrix theory. Our findings reveal three distinct timescales governing information spread and extraction during quantum thermalization.

More Related Videos

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.8K
Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
09:23

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans

Published on: August 16, 2017

8.0K

Related Experiment Videos

Last Updated: Jun 12, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

14.5K
Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.8K
Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
09:23

Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans

Published on: August 16, 2017

8.0K

Area of Science:

  • Quantum Information Science
  • Quantum Many-Body Systems
  • Statistical Physics

Background:

  • Quantum chaotic systems exhibit complex dynamics.
  • Quantum parameter estimation quantifies information obtainable from quantum states.
  • Random matrix theory effectively describes quantum ergodic systems.

Purpose of the Study:

  • To theoretically investigate quantum parameter estimation in quantum chaotic systems.
  • To derive an analytical expression for the time evolution of quantum Fisher information (QFI).
  • To understand the timescales of information spreading during quantum thermalization.

Main Methods:

  • Utilizing an effective description of quantum ergodic systems via a random matrix Hamiltonian.
  • Deriving an analytical expression for the time evolution of QFI.
  • Performing exact diagonalization of a nonintegrable spin system for numerical validation.

Main Results:

  • Identified three distinct timescales governing QFI evolution.
  • Observed initial quadratic QFI increase, followed by linear increase, and a final quadratic long-time behavior.
  • Numerical results from a nonintegrable spin system validated the random matrix theory predictions.

Conclusions:

  • The study provides an analytical framework for quantum parameter estimation in chaotic systems.
  • Information on local Hamiltonian parameters distributes throughout the system during quantum thermalization.
  • The findings offer insights into the dynamics of information in complex quantum systems.