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

26.0K
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...
26.0K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

42.5K
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.
42.5K
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

7.0K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
7.0K
Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

1.2K
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
1.2K
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

5.1K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
5.1K
The Uncertainty Principle04:08

The Uncertainty Principle

23.5K
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...
23.5K

You might also read

Related Articles

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

Sort by
Same author

Fractal hierarchy enables exponential scaling of topological boundary states.

Nature communications·2026
Same author

Microcomb-enabled parallel self- calibration optical convolution streaming processor.

Light, science & applications·2026
Same author

Quantum state revival via coherent energy redistribution.

Science advances·2026
Same author

Polarization Control via Artificial Optical Nonlinearity in Dielectric Metasurfaces.

ACS nano·2026
Same author

Optical pulling force on Janus particles via azimuthally-polarized Bessel beams.

Optics express·2025
Same author

Exploiting Nonlocal Correlations for Dispersion-Resilient Quantum Communications.

Physical review letters·2025

Related Experiment Video

Updated: Jul 20, 2025

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

9.0K

Generating indistinguishability within identical particle systems: spatial deformations as quantum resource

Matteo Piccolini1,2, Farzam Nosrati1,2, Gerardo Adesso3

  • 1Dipartimento di Ingegneria, Università di Palermo, Viale delle Scienze, Palermo 90128, Italy.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|July 30, 2023
PubMed
Summary
This summary is machine-generated.

Identical quantum particles can be made indistinguishable using spatial deformations, leading to entanglement. This study formalizes this concept and provides a measure for indistinguishability in quantum systems.

Keywords:
indistinguishable particlesquantum measurementsquantum resourcesspatial deformation

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

14.6K
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

Related Experiment Videos

Last Updated: Jul 20, 2025

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

9.0K
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

Area of Science:

  • Quantum mechanics
  • Quantum information theory
  • Mathematical physics

Background:

  • Indistinguishability is a fundamental quantum property with no classical analog.
  • Identical particles' indistinguishability is crucial for various physical phenomena.
  • Spatial wave function overlap via deformations can induce indistinguishability.

Purpose of the Study:

  • Formalize the concept of spatial deformation for indistinguishability in multi-particle systems.
  • Develop a quantitative measure for the degree of particle indistinguishability.
  • Explore the role of spatial deformations in activating entanglement.

Main Methods:

  • Mathematical formalization of spatial deformations in a general N-particle scenario.
  • Development of a measure for the degree of indistinguishability.
  • Analysis within the spatially localized operations and classical communication (SLOCC) framework.

Main Results:

  • A coherent framework for spatial deformations and indistinguishability is presented.
  • A quantitative measure for the degree of indistinguishability is introduced.
  • Spatial deformations are identified as key activators of entanglement.

Conclusions:

  • Spatial deformations provide a mechanism to control and quantify particle indistinguishability.
  • This work clarifies the relationship between spatial deformations, indistinguishability, and entanglement.
  • The findings contribute to understanding identity and individuality in quantum systems.