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

Emission Spectra02:39

Emission Spectra

When solids, liquids, or condensed gases are heated sufficiently, they radiate some of the excess energy as light. Photons produced in this manner have a range of energies, and thereby produce a continuous spectrum in which an unbroken series of wavelengths is present.
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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. Schrödinger...
The de Broglie Wavelength02:32

The de Broglie Wavelength

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...
The Uncertainty Principle04:08

The Uncertainty Principle

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 mathematically...
Calculation of First-Law Quantities II01:24

Calculation of First-Law Quantities II

The first law of thermodynamics establishes that the change in internal energy of a system is given by ΔU = q + w, where q is the heat exchanged, and w is the work performed. For a perfect gas, both internal energy (U) and enthalpy (H) depend solely on temperature. Consequently, for any change of state, whether reversible or irreversible, the internal energy change is determined by integrating the heat capacity at constant volume, and the enthalpy change by integrating the heat capacity at...
Reaction Quotient02:35

Reaction Quotient

The status of a reversible reaction is conveniently assessed by evaluating its reaction quotient (Q). For a reversible reaction described by m A + n B ⇌ x C + y D, the reaction quotient is derived directly from the stoichiometry of the balanced equation as

You might also read

Related Articles

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

Sort by
Same author

Bright triplet and bright charge-separated singlet excitons in organic diradicals enable optical read-out and writing of spin states.

Nature chemistry·2025
Same author

Fibroblast-Specific Protein-Protein Interactions for Myocardial Fibrosis from MetaCore Network.

Biomolecules·2024
Same author

Quantum Synchronization and Entanglement of Dissipative Qubits Coupled to a Resonator.

Entropy (Basel, Switzerland)·2024
Same author

Opinion Formation in the World Trade Network.

Entropy (Basel, Switzerland)·2024
Same author

Dollar-Yuan Battle in the World Trade Network.

Entropy (Basel, Switzerland)·2023
Same author

COVID-19's Impact on International Trade.

Entropy (Basel, Switzerland)·2022
Same journal

Research on a Regional Availability Evaluation Model for Road-Area High-Entropy Energy Based on Synergy Factors.

Entropy (Basel, Switzerland)·2026
Same journal

Atmospheric Turbulence Channel Modeling and Performance Analysis of a CO-ZP-OFDM Coherent Optical Communication System for UAV Air-to-Ground Scenarios.

Entropy (Basel, Switzerland)·2026
Same journal

Information Geometry and Asymptotic Theory for SMML Estimators.

Entropy (Basel, Switzerland)·2026
Same journal

Correlation Entropy and Power-Law Kinetics.

Entropy (Basel, Switzerland)·2026
Same journal

Research on the Contagion of Systemic Financial Risk Under the Impact of Climate Risks-From the Perspective of Complex Networks and Machine Learning.

Entropy (Basel, Switzerland)·2026
Same journal

The Statistical-Mechanical Meaning of the Wave Function of Quantum Mechanics.

Entropy (Basel, Switzerland)·2026
See all related articles

Related Experiment Video

Updated: Jun 27, 2026

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

Boltzmann-Loschmidt Dispute Reloaded: Quantum 150 Years Later.

Leonardo Ermann1, Alexei D Chepelianskii2, Dima L Shepelyansky3

  • 1Departamento de Física Teórica, GIyA, Comisión Nacional de Energía Atómica, Av. del Libertador 8250, Buenos Aires 1429, Argentina.

Entropy (Basel, Switzerland)
|June 26, 2026
PubMed
Summary
This summary is machine-generated.

Quantum systems, unlike classical ones, can reverse their evolution perfectly. This research demonstrates that quantum chaos diffusion in cold atoms can be time-reversed with 100% efficiency, challenging classical physics limitations.

Keywords:
chaoscold atomsquantum chaostime reversal

More Related Videos

Measurement of Ultrafast Vibrational Coherences in Polyatomic Radical Cations with Strong-Field Adiabatic Ionization
08:22

Measurement of Ultrafast Vibrational Coherences in Polyatomic Radical Cations with Strong-Field Adiabatic Ionization

Published on: August 6, 2018

Related Experiment Videos

Last Updated: Jun 27, 2026

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

Measurement of Ultrafast Vibrational Coherences in Polyatomic Radical Cations with Strong-Field Adiabatic Ionization
08:22

Measurement of Ultrafast Vibrational Coherences in Polyatomic Radical Cations with Strong-Field Adiabatic Ionization

Published on: August 6, 2018

Area of Science:

  • Quantum physics
  • Statistical mechanics
  • Atomic physics

Background:

  • The Boltzmann-Loschmidt dispute questioned time-reversibility in classical statistical mechanics.
  • Classical atomic motion described by time-reversible equations faces challenges with irreversibility.

Purpose of the Study:

  • To investigate the time-reversibility of quantum chaos diffusion.
  • To explore quantum mechanical solutions to the Boltzmann-Loschmidt paradox.
  • To contrast quantum and classical time-reversibility.

Main Methods:

  • Analytical calculations of quantum chaos diffusion.
  • Numerical simulations of cold atoms/ions in harmonic traps and pulsed optical lattices.
  • Investigating the efficiency of time-reversal for quantum evolution.

Main Results:

  • Quantum chaos diffusion can be time-reversed with up to 100% efficiency.
  • This perfect time-reversibility is demonstrated for cold atoms or ions.
  • Classical evolution exhibits exponentially small errors, breaking time-reversibility.

Conclusions:

  • Quantum mechanics offers a path to perfect time-reversibility, unlike classical mechanics.
  • Experimental techniques are available to demonstrate this quantum perspective on the Boltzmann-Loschmidt dispute.
  • The study highlights fundamental differences between quantum and classical descriptions of chaotic systems.