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 de Broglie Wavelength02:32

The de Broglie Wavelength

26.3K
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...
26.3K
The Uncertainty Principle04:08

The Uncertainty Principle

23.9K
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...
23.9K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

43.2K
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.
43.2K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

49.6K
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:
49.6K
Quantum Numbers02:43

Quantum Numbers

35.7K
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.
35.7K
Fermi Level Dynamics01:12

Fermi Level Dynamics

339
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
339

You might also read

Related Articles

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

Sort by
Same author

Ergodic properties of Brownian motion under stochastic resetting.

Physical review. E·2024
Same author

Restart Expedites Quantum Walk Hitting Times.

Physical review letters·2023
Same author

Cusp of Non-Gaussian Density of Particles for a Diffusing Diffusivity Model.

Entropy (Basel, Switzerland)·2021
Same author

Hitchhiker model for Laplace diffusion processes.

Physical review. E·2020
Same author

Infinite ergodic theory for heterogeneous diffusion processes.

Physical review. E·2019
Same author

Conditional 1/f^{α} noise: From single molecules to macroscopic measurement.

Physical review. E·2018
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: Sep 8, 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

14.6K

Measurement-induced quantum walks.

A Didi1, E Barkai1

  • 1Department of Physics, Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan 5290002, Israel.

Physical Review. E
|June 16, 2022
PubMed
Summary
This summary is machine-generated.

Quantum walks exhibit classical-like Gaussian statistics under stroboscopic measurements, with quantum corrections. Measurement sampling rates significantly alter quantum walk behavior, impacting detection times and phase space dynamics.

More Related Videos

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

8.5K
Single-Molecule Dwell-Time Analysis of Restriction Endonuclease-Mediated DNA Cleavage
09:53

Single-Molecule Dwell-Time Analysis of Restriction Endonuclease-Mediated DNA Cleavage

Published on: February 7, 2021

2.0K

Related Experiment Videos

Last Updated: Sep 8, 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

14.6K
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

8.5K
Single-Molecule Dwell-Time Analysis of Restriction Endonuclease-Mediated DNA Cleavage
09:53

Single-Molecule Dwell-Time Analysis of Restriction Endonuclease-Mediated DNA Cleavage

Published on: February 7, 2021

2.0K

Area of Science:

  • Quantum mechanics
  • Complex systems

Background:

  • Quantum walks are quantum analogues of classical random walks.
  • Stroboscopic measurements introduce unique dynamics to quantum systems.

Purpose of the Study:

  • Investigate the behavior of tight-binding quantum walks under repeated measurements.
  • Analyze the effects of measurement sampling rates on quantum walk dynamics.
  • Explore quantum corrections to classical statistical behaviors.

Main Methods:

  • Tight-binding quantum walk model on a graph.
  • Stroboscopic measurements of particle position.
  • Large deviation analysis and Edgeworth expansion.
  • Generating function method for first passage time analysis.

Main Results:

  • Quantum walks converge to Gaussian statistics, similar to classical walks, except in the Zeno limit.
  • Quantum corrections to normal behavior observed via large deviation and Edgeworth expansion.
  • Quantization of mean first return time observed.
  • Measurement sampling rates induce divergence in mean detection time and mimic ergodicity breaking due to destructive interference.
  • First detection probability decays as (time)^{-3/2}, differing from local measurements' (time)^{-3} decay.

Conclusions:

  • Quantum walks exhibit a blend of classical and quantum mechanical properties under stroboscopic measurements.
  • Measurement strategies critically influence quantum walk dynamics, including statistical distributions and temporal behavior.
  • The type of measurement dictates the exponents of first passage time, highlighting the role of quantum interference.