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

Quantum Numbers02:43

Quantum Numbers

52.4K
It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
52.4K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

59.8K
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.
59.8K
Classical Conditioning01:18

Classical Conditioning

2.6K
Associative learning, a core principle in behavioral psychology, involves forming connections between events and facilitating learned responses. This concept is vividly illustrated by classical conditioning, a process extensively studied by the Russian physiologist Ivan Pavlov. Pavlov's pioneering research on dogs' digestive systems led to the discovery that behaviors can be learned through association, laying the groundwork for classical conditioning.
Ivan Pavlov observed that dogs...
2.6K
Principles of Classical Conditioning01:23

Principles of Classical Conditioning

2.2K
Classical conditioning, as described by Ivan Pavlov, is a foundational concept in associative learning, where a neutral stimulus becomes capable of eliciting a conditioned response through association with an unconditioned stimulus. The process of acquisition, where this learning occurs, and the subsequent phenomena of contiguity, contingency, generalization, discrimination, extinction, and spontaneous recovery are crucial for a comprehensive understanding of classical conditioning.
During the...
2.2K
Classical Conditioning in Daily Life01:17

Classical Conditioning in Daily Life

2.4K
Classical conditioning, a fundamental principle of associative learning, explains various phenomena observed in daily life, such as fear development, the placebo effect, taste aversion, and drug habituation. These applications demonstrate the profound impact of associative learning on human behavior and physiological responses.
John B. Watson and Rosalie Rayner famously demonstrated the development of fear through classical conditioning in their experiment with Little Albert. They paired the...
2.4K
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

1.7K
Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
1.7K

You might also read

Related Articles

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

Sort by
Same author

Optimal Complexity of Parameterized Quantum Circuits.

Entropy (Basel, Switzerland)·2026
Same author

Spectral truncation of out-of-time-ordered correlators in dissipative systems.

Physical review. E·2025
Same author

Ideal gas law for a quantum particle.

Physical review. E·2025
Same author

Quantum Lyapunov exponent in dissipative systems.

Physical review. E·2023
Same author

Lagrangian descriptors for the Bunimovich stadium billiard.

Physical review. E·2022
Same author

Relevant out-of-time-order correlator operators: Footprints of the classical dynamics.

Physical review. E·2020
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Feb 15, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

13.3K

Quantum and classical complexity in coupled maps.

Pablo D Bergamasco1, Gabriel G Carlo2, Alejandro M F Rivas2

  • 1Departamento de Física, CNEA, Libertador 8250, (C1429BNP) Buenos Aires, Argentina and Departamento de Física, FCEyN, Universidad de Buenos Aires, C1428EGA, Argentina.

Physical Review. E
|January 20, 2018
PubMed
Summary
This summary is machine-generated.

This study explores complexity in coupled cat maps using Wigner separability entropy (WSE) and classical separability entropy (CSE). Results show differing complexity growth rates based on hyperbolic and elliptic dynamics, highlighting limitations of classical measures.

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
Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
12:19

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Published on: April 4, 2017

8.9K

Related Experiment Videos

Last Updated: Feb 15, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

13.3K
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
Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
12:19

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Published on: April 4, 2017

8.9K

Area of Science:

  • Quantum Chaos
  • Statistical Mechanics
  • Dynamical Systems Theory

Background:

  • Investigating complexity in multi-degree-of-freedom systems is crucial for understanding quantum and classical dynamics.
  • Perturbed cat maps serve as a paradigmatic model for studying complex behaviors in dynamical systems.

Purpose of the Study:

  • To analyze and compare complexity measures, specifically Wigner separability entropy (WSE) and classical separability entropy (CSE).
  • To examine how different dynamical regimes (elliptic vs. hyperbolic) influence complexity growth in coupled systems.

Main Methods:

  • Utilized a generic two-degrees-of-freedom system of coupled perturbed cat maps.
  • Employed Wigner separability entropy (WSE) and classical separability entropy (CSE) as quantitative measures of complexity.
  • Analyzed systems with doubly hyperbolic, doubly elliptic, and mixed elliptic-hyperbolic dynamics.

Main Results:

  • In doubly hyperbolic systems, both WSE and CSE exhibit similar, high complexity growth, characteristic of classical ergodicity.
  • For mixed elliptic-hyperbolic systems, WSE approaches the doubly hyperbolic asymptotic value slowly, while CSE deviates early.
  • Classical dynamical features alone are insufficient to fully capture the observed complexity growth patterns.

Conclusions:

  • The study reveals distinct complexity dynamics based on the interplay of elliptic and hyperbolic elements in coupled systems.
  • WSE provides a more comprehensive measure of complexity than CSE, especially in mixed dynamical regimes.
  • Understanding these differences is key to advancing theories of quantum chaos and information dynamics.