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

Forced Oscillations01:06

Forced Oscillations

6.3K
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
6.3K
The de Broglie Wavelength02:32

The de Broglie Wavelength

25.6K
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...
25.6K
Damped Oscillations01:07

Damped Oscillations

6.2K
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
6.2K
Concept of Resonance and its Characteristics01:19

Concept of Resonance and its Characteristics

5.4K
If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not...
5.4K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

47.0K
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...
47.0K
Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

2.6K
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
2.6K

You might also read

Related Articles

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

Sort by
Same author

Multiphase autoresonant excitations in the Korteweg-de Vries system.

Physical review. E·2025
Same author

Autoresonant generation of solitons in Bose-Einstein condensates by modulation of the interaction strength.

Physical review. E·2024
Same author

Effects of ileocolonic delivered vitamin B<sub>2</sub>, B<sub>3</sub> and C (ColoVit) or the Groningen anti-inflammatory diet on disease course and microbiome of patients with Crohn's disease (VITA-GrAID study): a protocol for a randomised and partially blinded trial.

BMJ open·2023
Same author

Time-Dependent Expectation Values from Integral Equations for Quantum Flux and Probability Densities.

The journal of physical chemistry. A·2022
Same author

Parametric autoresonant generation of dark solitons.

Physical review. E·2022
Same author

Narrow autoresonant magnetization structures in finite-length ferromagnetic nanoparticles.

Physical review. E·2019

Related Experiment Video

Updated: Apr 26, 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

13.9K

Quantum phenomena in a chirped parametric anharmonic oscillator.

I Barth1, L Friedland1

  • 1Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel.

Physical Review Letters
|August 9, 2014
PubMed
Summary

This study explores quantum effects on parametric resonance, specifically how zero-point fluctuations influence classical autoresonance. It quanties capture probability into chirped resonance using quantum mechanics, comparing results with classical theories.

More Related Videos

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
07:42

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

2.5K
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

8.9K

Related Experiment Videos

Last Updated: Apr 26, 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

13.9K
Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
07:42

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

2.5K
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

8.9K

Area of Science:

  • Quantum mechanics
  • Nonlinear dynamics
  • Low-temperature physics

Background:

  • Parametric resonance is a phenomenon where a system oscillates with increased amplitude when driven at specific frequencies.
  • Classical parametric autoresonance describes a system's ability to self-excite and sustain oscillations.
  • Zero-point fluctuations are quantum mechanical effects present even at absolute zero temperature.

Purpose of the Study:

  • To investigate the impact of quantum zero-point fluctuations on classical parametric autoresonance.
  • To determine the probability of capture into chirped parametric resonance under quantum conditions.
  • To compare quantum and classical theories for resonance capture thresholds.

Main Methods:

  • Solving the Schrödinger equation in the energy basis to calculate capture probability.
  • Utilizing the Wigner distribution to visualize resonant phase-space dynamics.
  • Comparing numerical results with classical and quantum theoretical predictions.

Main Results:

  • Parametric ladder climbing and quantum saturation of the autoresonance threshold are discussed.
  • The probability for capture into chirped parametric resonance was calculated.
  • Numerical thresholds were compared against classical and quantum theories across various parameter regimes.

Conclusions:

  • Quantum effects, particularly zero-point fluctuations, significantly alter the behavior of parametric autoresonance at low temperatures.
  • The study provides a quantum mechanical framework for understanding resonance phenomena in nonlinear systems.
  • Discrepancies between quantum and classical predictions highlight the importance of quantum considerations in specific parameter regimes.