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

Stability of Equilibrium Configuration: Problem Solving01:13

Stability of Equilibrium Configuration: Problem Solving

602
The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
Problem-solving in the context of the stability of equilibrium configuration...
602
Stability of Equilibrium Configuration01:23

Stability of Equilibrium Configuration

443
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
443
The Uncertainty Principle04:08

The Uncertainty Principle

23.3K
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...
23.3K
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

2.5K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.5K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

42.2K
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.
42.2K
BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

382
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
382

You might also read

Related Articles

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

Sort by
Same author

Fibroblast Growth Factor 9 Promotes Rat Leydig Cell Development via H3K4me3 Histone Modifications.

Reproduction (Cambridge, England)·2026
Same author

Self-Cleaning Pd-TiO<sub>2</sub>-WO<sub>3</sub> Heterostructure for High-Performance Hydrogen Gas Sensing.

ACS sensors·2026
Same author

Effects of long-term tillage on soil nitrogen transformation, nitrogen fractions, and wheat yield.

Frontiers in plant science·2026
Same author

Environmental Pollutant Tetrachloro-1,4-benzoquinone Exerts Neurotoxicity and Potential Protective Effects of Curcumin: A Network and Mendelian Randomization Analysis.

Current topics in medicinal chemistry·2026
Same author

Combined heat and exercise stress disrupt gut microbiota and promote microbial translocation.

Frontiers in microbiology·2026
Same author

Modeling the interpretable geometric-performance relationship of metamaterials on small datasets using Kolmogorov-Arnold operator informed network.

Scientific reports·2026
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: Jun 20, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

9.6K

Instability in the quantum restart problem.

Ruoyu Yin1, Qingyuan Wang1, Eli Barkai1

  • 1Department of Physics, Institute of Nanotechnology and Advanced Materials, <a href="https://ror.org/03kgsv495">Bar Ilan University</a>, Ramat-Gan 52900, Israel.

Physical Review. E
|July 18, 2024
PubMed
Summary
This summary is machine-generated.

Quantum walks exhibit an instability in optimal first-hitting times, unlike classical random walks. This instability affects optimal restart times, showing unique staircase and plunge patterns dependent on quantum effects.

More Related Videos

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

14.5K
Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

530

Related Experiment Videos

Last Updated: Jun 20, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

9.6K
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

14.5K
Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

530

Area of Science:

  • Quantum physics
  • Quantum walks
  • Statistical mechanics

Background:

  • Quantum walks are discrete-time trajectories generated by repeated monitoring.
  • First-hitting time is a crucial observable in random processes.
  • Classical random walks lack the observed instability in optimal first-hitting times.

Purpose of the Study:

  • To investigate the first-hitting time properties of repeatedly monitored quantum walks with restarts.
  • To analyze the impact of sampling time (τ) on optimal restart strategies.
  • To compare the behavior of quantum walks with classical random walks regarding hitting times.

Main Methods:

  • Analysis of discrete-time quantum walk trajectories.
  • Mathematical derivation of first-hitting time probabilities.
  • Numerical simulations to study optimal restart times and hitting time behavior.
  • Investigation of parameter dependencies, including sampling time τ and restart strategies.

Main Results:

  • An instability in the optimal mean hitting time for quantum walks, absent in classical counterparts.
  • Optimal restart time exhibits staircase and plunge structures as a function of sampling time τ.
  • Plunges are linked to quantum oscillations in first-hitting time probability.
  • Hitting time minimization depends on both restart and sampling times, with two distinct staircase patterns based on distance parity.

Conclusions:

  • Quantum walks display unique hitting time dynamics due to quantum phenomena.
  • The sampling time τ is a critical control parameter for optimizing hitting times in quantum walks.
  • The observed instability is robust against perturbations in sampling time, highlighting its fundamental nature.