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

47.3K
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.
47.3K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

57.5K
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:
57.5K
The de Broglie Wavelength02:32

The de Broglie Wavelength

31.9K
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...
31.9K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

55.0K
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.
55.0K
Ladder Diagrams: Complexation Equilibria01:07

Ladder Diagrams: Complexation Equilibria

502
Ladder diagrams are useful for evaluating equilibria involving metal-ligand complexes. The vertical scale of the ladder diagram represents the concentration of unreacted or free ligand, pL. The horizontal lines on the scale depict the log of stepwise formation constants for metal-ligand complexes and indicate the dominant species in all the regions.
The formation constant, K1, for the formation of Cd(NH3)2+ complex from cadmium and ammonia is 3.55 × 102. Log K1 (i.e. pNH3) is 2.55, and...
502
Molecular Orbital Theory I02:35

Molecular Orbital Theory I

42.4K
Overview of Molecular Orbital Theory
42.4K

You might also read

Related Articles

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

Sort by
Same author

Spectral Signatures of Prime Factorization.

Entropy (Basel, Switzerland)·2026
Same author

Mean Field Approaches to Lattice Gauge Theories: A Review.

Entropy (Basel, Switzerland)·2025
Same author

Energy exchange statistics and fluctuation theorem for nonthermal asymptotic states.

Physical review. E·2025
Same author

Nonequilibrium steady states of long-range coupled harmonic chains.

Physical review. E·2023
Same author

Holographic realization of the prime number quantum potential.

PNAS nexus·2023
Same author

High-precision anomalous dimension of three-dimensional percolation and spatial profile of the critical giant cluster.

Physical review. E·2023

Related Experiment Video

Updated: Nov 22, 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

9.4K

Prime Suspects in a Quantum Ladder.

Giuseppe Mussardo1, Andrea Trombettoni1,2, Zhao Zhang3,4

  • 1SISSA and INFN, Sezione di Trieste, via Beirut 2/4, I-34151 Trieste, Italy.

Physical Review Letters
|January 7, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces a novel quantum ladder system where prime numbers represent spins, creating quantum registers for square-free integers. A unique phase exhibits a ground state as a superposition of prime numbers.

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

14.8K
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

945

Related Experiment Videos

Last Updated: Nov 22, 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

9.4K
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

14.8K
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

945

Area of Science:

  • Quantum physics
  • Number theory
  • Condensed matter physics

Background:

  • Quantum systems can exhibit complex behaviors related to mathematical concepts.
  • Number theory provides a rich framework for exploring novel physical phenomena.

Purpose of the Study:

  • To establish a number-theoretic interpretation of a quantum ladder system.
  • To explore the connection between prime numbers and quantum spin systems.
  • To investigate the phases and ground states of this novel quantum model.

Main Methods:

  • Utilizing a hard-core boson representation.
  • Employing a leg-Hamiltonian with magnetic field and hopping terms.
  • Associating spins with prime numbers to form quantum registers for square-free integers.
  • Analyzing a rung Hamiltonian with permutation and coprime interactions.

Main Results:

  • The quantum ladder system serves as a quantum register for square-free integers.
  • The system exhibits diverse phases.
  • A specific phase features a ground state that is a coherent superposition of the first N prime numbers.

Conclusions:

  • A compelling link between number theory and quantum mechanics is demonstrated.
  • The proposed model offers a new perspective on quantum information processing and number theory.
  • Potential realization in open quantum systems with Lindblad dynamics is discussed.