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

Generalized Hooke's Law01:22

Generalized Hooke's Law

3.2K
The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
3.2K
Structure of Benzene: Molecular Orbital Model01:18

Structure of Benzene: Molecular Orbital Model

14.0K
According to the molecular orbital (MO) model, benzene has a planar structure with a regular hexagon of six sp2 hybridized carbons. As shown in Figure 1, each carbon is bonded to three other atoms with C–C–C and H–C–C bond angles of 120°. The C–H bond length is 109 pm, and the C–C bond length is 139 pm which is midway between the single bond length of sp3 hybridized carbons (154 pm) and sp2 hybridized carbons (133 pm).
14.0K
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

8.6K
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...
8.6K
Dimensionless Groups in Fluid Mechanics01:15

Dimensionless Groups in Fluid Mechanics

960
Dimensionless groups in fluid mechanics provide simplified ratios that help analyze fluid behavior without relying on specific units. The Reynolds number (Re), which represents the ratio of inertial to viscous forces, distinguishes between laminar and turbulent flows, making it essential in the design of pipelines and aerodynamic surfaces. The Froude number (Fr), the ratio of inertial to gravitational forces, is particularly useful in predicting wave formation and hydraulic jumps in...
960
Dimensional Analysis01:23

Dimensional Analysis

2.5K
Dimensional analysis is a powerful tool that is used in physics and engineering to understand and predict the behavior of physical systems. The basic idea behind dimensional analysis is to express physical quantities in terms of fundamental dimensions such as the mass, length, and time. Derived dimensions like the velocity, acceleration, and force are derived from the combinations of these fundamental dimensions.
Dimensional analysis allows us to analyze and compare physical quantities on a...
2.5K
Dimensional Analysis03:40

Dimensional Analysis

68.4K
Dimensional analysis, also known as the factor label method, is a versatile approach for mathematical operations. The main principle behind this approach is: the units of quantities must be subjected to the same mathematical operations as their associated numbers. This method can be applied to computations ranging from simple unit conversions to more complex and multi-step calculations involving several different quantities and their units.
Conversion Factors and Dimensional Analysis
The unit...
68.4K

You might also read

Related Articles

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

Sort by
Same author

Local integrability breaking and exponential localization of leading Lyapunov vectors.

Physical review. E·2025
Same author

Efficient Computation of Cumulant Evolution and Full Counting Statistics: Application to Infinite Temperature Quantum Spin Chains.

Physical review letters·2025
Same author

Exact Nonequilibrium Steady State of XXZ Circuits Boundary Driven with Arbitrary Resets or Fields.

Physical review letters·2025
Same author

Full Eigenstate Thermalization via Free Cumulants in Quantum Lattice Systems.

Physical review letters·2025
Same author

Symmetry Classes of Classical Stochastic Processes.

Journal of statistical physics·2025
Same author

Loss-Induced Quantum Information Jet in an Infinite Temperature Hubbard Chain.

Physical review letters·2024

Related Experiment Video

Updated: Apr 15, 2026

Hi-C: A Method to Study the Three-dimensional Architecture of Genomes.
22:27

Hi-C: A Method to Study the Three-dimensional Architecture of Genomes.

Published on: May 6, 2010

412.5K

Infinitely dimensional lax structure for the one-dimensional Hubbard model.

Vladislav Popkov1,2, Tomaž Prosen3

  • 1Institut für Theoretische Physik, Universität zu Köln, D-50937 Cologne, Germany.

Physical Review Letters
|April 11, 2015
PubMed
Summary
This summary is machine-generated.

We present a new method to understand the Fermi Hubbard chain, revealing its quantum symmetry and enabling exact solutions for complex, driven systems. This advances quantum many-body physics and non-equilibrium statistical mechanics.

More Related Videos

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

3.1K
Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
10:35

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

12.8K

Related Experiment Videos

Last Updated: Apr 15, 2026

Hi-C: A Method to Study the Three-dimensional Architecture of Genomes.
22:27

Hi-C: A Method to Study the Three-dimensional Architecture of Genomes.

Published on: May 6, 2010

412.5K
A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

3.1K
Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
10:35

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

12.8K

Area of Science:

  • Quantum Many-Body Physics
  • Non-Equilibrium Statistical Mechanics
  • Condensed Matter Theory

Background:

  • The Fermi Hubbard chain is a fundamental model in condensed matter physics, crucial for understanding strongly correlated electron systems.
  • Investigating non-equilibrium dynamics and exact steady states in such models remains a significant challenge.

Purpose of the Study:

  • To develop a novel representation of the Lax integrability condition for the Fermi Hubbard chain.
  • To construct an exact steady-state many-body density operator for a non-equilibrium, boundary-driven system.

Main Methods:

  • A two-parametric irreducible infinitely dimensional representation of the Lax integrability condition was derived.
  • This representation was applied to construct an exact steady-state density operator.

Main Results:

  • The construction provides an explicit representation of the exact steady-state many-body density operator.
  • The method is applicable to boundary-driven Fermi Hubbard chains with arbitrary asymmetric particle rates and chemical potentials.

Conclusions:

  • The findings offer fundamental insights into the quantum symmetry of the Fermi Hubbard model.
  • The developed method allows for exact solutions in complex, non-equilibrium quantum systems, advancing the study of driven quantum chains.