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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.

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.

The Wave Nature of Light

The Wave Nature of Light

The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion.

Phasor Arithmetics

Phasor Arithmetics

Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.
When the derivative of a sinusoid is taken in the time domain, it transforms into its corresponding phasor multiplied by j-omega (jω) in the phasor domain, where j is the imaginary unit, and ω is the angular...

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Related Experiment Video

Updated: Mar 31, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Qubit-Programmable Operations on Quantum Light Fields.

Marco Barbieri¹, Nicolò Spagnolo², Franck Ferreyrol³

¹Dipartimento di Scienze, Università degli Studi Roma Tre, Rome, Italy.

Scientific Reports

|October 16, 2015

Summary

This summary is machine-generated.

This study introduces a novel quantum operation scheme. It controls continuous-variable quantum fields using discrete qubits, enabling new quantum technologies and processor designs.

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Area of Science:

Quantum Information Science
Quantum Engineering
Quantum Optics

Background:

Developing quantum technologies requires precise engineering of quantum operations.
Current approaches often focus on either discrete qubits or continuous-variable systems, limiting integration.
A key challenge is interfacing different quantum information encoding schemes.

Purpose of the Study:

To propose a scheme for controlled operations on travelling continuous-variable quantum fields.
To enable the exploitation of hybrid quantum information encoding advantages.
To facilitate the development of quantum processors capable of maintaining coherence.

Main Methods:

A theoretical scheme is presented for a controlled operation.
The operation acts on a continuous-variable quantum field.
The control mechanism utilizes a discrete input qubit.

Main Results:

The proposed scheme allows a discrete qubit to control a continuous-variable quantum field operation.
This hybrid approach leverages the strengths of both discrete and continuous variable encoding.
The operational program can exist in a superposition of states, suitable for quantum processors.

Conclusions:

The developed scheme offers a new pathway for quantum state engineering and information protocols.
It provides a crucial interface between different physical platforms, such as optical qubits and continuous-variable systems.
Potential applications include linking optical qubits to optomechanical devices.