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

51.7K
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.
51.7K
Dynamic Equilibrium02:20

Dynamic Equilibrium

63.0K
A reversible chemical reaction represents a chemical process that proceeds in both forward (left to right) and reverse (right to left) directions. When the rates of the forward and reverse reactions are equal, the concentrations of the reactant and product species remain constant over time and the system is at equilibrium. A special double arrow is used to emphasize the reversible nature of the reaction. The relative concentrations of reactants and products in equilibrium systems vary greatly;...
63.0K
Free Energy and Equilibrium02:56

Free Energy and Equilibrium

27.3K
The free energy change for a process may be viewed as a measure of its driving force. A negative value for ΔG represents a driving force for the process in the forward direction, while a positive value represents a driving force for the process in the reverse direction. When ΔGrxn is zero, the forward and reverse driving forces are equal, and the process occurs in both directions at the same rate (the system is at equilibrium).
Recall that Q is the numerical value of the mass action...
27.3K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

59.0K
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.
59.0K
Calculating the Equilibrium Constant02:46

Calculating the Equilibrium Constant

38.1K
The equilibrium constant for a reaction is calculated from the equilibrium concentrations (or pressures) of its reactants and products. If these concentrations are known, the calculation simply involves their substitution into the Kc expression.
For example, gaseous nitrogen dioxide forms dinitrogen tetroxide according to this equation:
38.1K
Solution Equilibrium and Saturation01:59

Solution Equilibrium and Saturation

22.0K
Imagine adding a small amount of sugar to a glass of water, stirring until all the sugar has dissolved, and then adding a bit more. You can repeat this process until the sugar concentration of the solution reaches its natural limit, a limit determined primarily by the relative strengths of the solute-solute, solute-solvent, and solvent-solvent attractive forces. You can be certain that you have reached this limit because, no matter how long you stir the solution, undissolved sugar remains. The...
22.0K

You might also read

Related Articles

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

Sort by
Same author

Herzberg-Teller coupling in coherent multidimensional spectroscopy: Analytical response functions for multilevel systems.

The Journal of chemical physics·2026
Same author

Optimal quantum transport on a ring via locally monitored chiral quantum walks.

Physical review. E·2025
Same author

Enhanced Quantum Frequency Estimation by Nonlinear Scrambling.

Physical review letters·2025
Same author

Author Correction: Probing spin-electric transitions in a molecular exchange qubit.

Nature communications·2025
Same author

Privacy in Networks of Quantum Sensors.

Physical review letters·2025
Same author

Probing spin-electric transitions in a molecular exchange qubit.

Nature communications·2025
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

Related Experiment Video

Updated: Feb 7, 2026

Production and Targeting of Monovalent Quantum Dots
10:16

Production and Targeting of Monovalent Quantum Dots

Published on: October 23, 2014

26.1K

Universal Quantum Magnetometry with Spin States at Equilibrium.

Filippo Troiani1, Matteo G A Paris2,3

  • 1Centro S3, CNR-Istituto di Nanoscienze, I-41125 Modena, Italy.

Physical Review Letters
|July 14, 2018
PubMed
Summary
This summary is machine-generated.

Quantum sensors can precisely measure magnetic fields using thermal equilibrium spins. This study details protocols for enhanced magnetic field estimation, achieving quantum-enhanced precision.

More Related Videos

Using Magnetometry to Monitor Cellular Incorporation and Subsequent Biodegradation of Chemically Synthetized Iron Oxide Nanoparticles
08:13

Using Magnetometry to Monitor Cellular Incorporation and Subsequent Biodegradation of Chemically Synthetized Iron Oxide Nanoparticles

Published on: February 27, 2021

5.1K
Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

13.2K

Related Experiment Videos

Last Updated: Feb 7, 2026

Production and Targeting of Monovalent Quantum Dots
10:16

Production and Targeting of Monovalent Quantum Dots

Published on: October 23, 2014

26.1K
Using Magnetometry to Monitor Cellular Incorporation and Subsequent Biodegradation of Chemically Synthetized Iron Oxide Nanoparticles
08:13

Using Magnetometry to Monitor Cellular Incorporation and Subsequent Biodegradation of Chemically Synthetized Iron Oxide Nanoparticles

Published on: February 27, 2021

5.1K
Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

13.2K

Area of Science:

  • Quantum Metrology
  • Spin Physics
  • Magnetic Field Sensing

Background:

  • Accurate magnetic field measurement is crucial in various scientific and technological fields.
  • Current metrological protocols face limitations in precision and sensitivity.
  • Utilizing quantum phenomena offers a pathway to overcome these limitations.

Purpose of the Study:

  • To develop novel metrological protocols for estimating magnetic field intensity and orientation.
  • To demonstrate quantum-enhanced precision in magnetic field measurements using spins at thermal equilibrium.
  • To derive a general expression for the ultimate achievable precision.

Main Methods:

  • Probing a magnetic field with an arbitrary spin at thermal equilibrium.
  • Derivation of the quantum Fisher information for ultimate precision.
  • Identification of the optimal observable for parameter estimation.

Main Results:

  • Achieved quantum-enhanced precision in magnetic field estimation.
  • Derived a general expression for the ultimate achievable precision based on quantum Fisher information.
  • Identified an optimal observable corresponding to a temperature-dependent spin projection direction.
  • Demonstrated robustness against deviations from the optimal measurement.

Conclusions:

  • Quantum-enhanced precision is achievable for magnetic field estimation using spins at thermal equilibrium.
  • The derived protocols offer a significant improvement over classical methods.
  • The scheme is robust, making it practical for real-world applications in quantum sensing.