Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

The Quantum-Mechanical Model of an Atom

The Quantum-Mechanical Model of an Atom

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. Schrödinger...

Collisions in Multiple Dimensions: Introduction

Collisions in Multiple Dimensions: Introduction

It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a problem,...

The de Broglie Wavelength

The de Broglie Wavelength

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...

Quantum Numbers

Quantum Numbers

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.

Problem Solving: Dimensional Analysis

Problem Solving: Dimensional Analysis

Every mathematical equation that connects separate distinct physical quantities must be dimensionally consistent, which implies it must abide by two rules. For this reason, the concept of dimension is crucial. The first rule is that an equation's expressions on either side of an equality must have the exact same dimension, i.e., quantities of the same dimension can be added or removed. The second rule stipulates that all popular mathematical functions, such as exponential, logarithmic, and...

Collisions in Multiple Dimensions: Problem Solving

Collisions in Multiple Dimensions: Problem Solving

In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...

You might also read

Related Articles

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

Sort by

Same author

Probing supersolidity through excitations in a spin-orbit-coupled Bose-Einstein condensate.

Science (New York, N.Y.)·2026

Same author

Structured Squeezed Light Allows for High-Harmonic Generation in Classical Forbidden Geometries.

Physical review letters·2025

Same author

Nonlinear Optics Using Intense Optical Coherent State Superpositions.

Physical review letters·2025

Same author

Strong-laser-field physics, non-classical light states and quantum information science.

Reports on progress in physics. Physical Society (Great Britain)·2023

Same author

Extended Bose-Hubbard model with dipolar excitons.

Nature·2022

Same author

Manipulating twisted electrons in strong-field ionization.

Faraday discussions·2021

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

Search research articles

Related Experiment Video

Updated: May 22, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Quantum simulation of an extra dimension.

O Boada¹, A Celi, J I Latorre

¹Departament d'Estructura i Constituents de la Matèria, Universitat de Barcelona, 647 Diagonal, 08028 Barcelona, Spain.

Physical Review Letters

|May 1, 2012

Summary

This summary is machine-generated.

Researchers developed a method to simulate higher-dimensional quantum systems using lower dimensions. This approach, using optical lattices, enables exploring extra dimensions and detecting their effects in experiments.

Related Experiment Videos

Last Updated: May 22, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

Quantum physics
Quantum simulation
High-dimensional systems

Background:

Simulating complex quantum systems is computationally challenging.
Exploring extra dimensions in quantum mechanics offers new theoretical possibilities.

Purpose of the Study:

To propose a general strategy for simulating D+1-dimensional quantum systems in D dimensions.
To detail a practical implementation using optical lattice technology.
To identify experimental signatures for detecting extra dimensions.

Main Methods:

Developing a general simulation strategy.
Analyzing feasibility with optical lattice systems.
Proposing experimental signatures for detection.

Main Results:

A general strategy for quantum system simulation across dimensions was presented.
A specific implementation using bi-volume geometry in optical lattices was analyzed.
Experimental signatures for single and many particles were proposed.

Conclusions:

The proposed strategy offers a viable method for simulating higher-dimensional quantum systems.
Optical lattice technology provides a feasible platform for this simulation.
Experimental detection of extra dimensions is achievable.