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
Second Order systems II01:18

Second Order systems II

414
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
414
First Order Systems01:21

First Order Systems

438
First-order systems, such as RC circuits, are foundational in understanding dynamic systems due to their straightforward input-output relationship. Analyzing their responses to different input functions under zero initial conditions reveals significant insights into system behavior.
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
438
Second Order systems I01:20

Second Order systems I

620
A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
By reinterpreting the system, one can derive the closed-loop transfer function, which...
620
Thermodynamic Systems01:06

Thermodynamic Systems

8.4K
A thermodynamic system is a set of objects whose thermodynamic properties are of interest. The system is considered to be embedded in its surroundings or the environment. The system and its environment can exchange heat and do work on each other through a boundary that separates them. However, the immediate surroundings of the system interact with it directly and therefore have a much stronger influence on its behavior and properties.
Consider an example of  tea boiling in a kettle. The...
8.4K

You might also read

Related Articles

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

Sort by
Same author

Lessons fromα-RuCl<sub>3</sub>for pursuing quantum spin liquid physics in atomically thin materials.

Journal of physics. Condensed matter : an Institute of Physics journal·2026
Same author

Subexponential Decay of Local Correlations from Diffusion-Limited Dephasing.

Physical review letters·2026
Same author

Error Mitigation Thresholds in Noisy Random Quantum Circuits.

Physical review. B·2026
Same author

False Vacuum Decay in Flat-Band Ferromagnets: Role of Quantum Geometry and Chiral Edge States.

Physical review letters·2026
Same author

Microscopic mechanism of anyon superconductivity emerging from fractional Chern insulators.

Newton ((New York, N.Y.)·2026
Same author

Giant enhancement of exciton diffusion near an electronic Mott insulator.

Science (New York, N.Y.)·2026
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: Feb 15, 2026

A Mouse Model for Pathogen-induced Chronic Inflammation at Local and Systemic Sites
09:52

A Mouse Model for Pathogen-induced Chronic Inflammation at Local and Systemic Sites

Published on: August 8, 2014

18.1K

Noise-Induced Subdiffusion in Strongly Localized Quantum Systems.

Sarang Gopalakrishnan1,2, K Ranjibul Islam3,4, Michael Knap5

  • 1Department of Engineering Science and Physics, CUNY College of Staten Island, Staten Island, New York 10314, USA.

Physical Review Letters
|January 18, 2018
PubMed
Summary
This summary is machine-generated.

Dephasing noise causes delocalization in localized systems. Transport remains subdiffusive over intermediate times before normal diffusion is restored, even in interacting systems.

More Related Videos

Visualizing Subcellular Localization of a Protein in the Heart Using Quantum Dots-Mediated Immuno-Labeling Followed by Transmission Electron Microscopy
08:13

Visualizing Subcellular Localization of a Protein in the Heart Using Quantum Dots-Mediated Immuno-Labeling Followed by Transmission Electron Microscopy

Published on: September 16, 2022

3.3K
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

Related Experiment Videos

Last Updated: Feb 15, 2026

A Mouse Model for Pathogen-induced Chronic Inflammation at Local and Systemic Sites
09:52

A Mouse Model for Pathogen-induced Chronic Inflammation at Local and Systemic Sites

Published on: August 8, 2014

18.1K
Visualizing Subcellular Localization of a Protein in the Heart Using Quantum Dots-Mediated Immuno-Labeling Followed by Transmission Electron Microscopy
08:13

Visualizing Subcellular Localization of a Protein in the Heart Using Quantum Dots-Mediated Immuno-Labeling Followed by Transmission Electron Microscopy

Published on: September 16, 2022

3.3K
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

Area of Science:

  • Condensed matter physics
  • Quantum dynamics

Background:

  • Localized systems are susceptible to dephasing noise.
  • Noise can induce delocalization and alter transport properties.

Purpose of the Study:

  • Investigate the dynamics of localized systems under dephasing noise.
  • Characterize transport behavior in the noise-induced delocalized phase.
  • Examine the role of noise correlation time.

Main Methods:

  • Analytical arguments for subdiffusive transport.
  • Numerical simulations on single-particle localized systems.
  • Lanczos exact diagonalization for interacting systems.

Main Results:

  • Noise induces delocalization.
  • Subdiffusive transport observed in an intermediate-time window.
  • Normal diffusion restored in the long-time limit.
  • Conclusions validated for both single-particle and many-body localized systems.

Conclusions:

  • Dephasing noise leads to a complex transport regime in localized systems.
  • Subdiffusion is a key feature of noise-induced delocalization.
  • Variable-range hopping mechanisms govern long-time diffusion restoration.