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

Dimensionless Groups in Fluid Mechanics

Dimensionless Groups in Fluid Mechanics

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...

First Law: Particles in One-dimensional Equilibrium

First Law: Particles in One-dimensional Equilibrium

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 we...

Reduced Mass Coordinates: Isolated Two-body Problem

Reduced Mass Coordinates: Isolated Two-body Problem

In classical mechanics, the two-body problem is one of the fundamental problems describing the motion of two interacting bodies under gravity or any other central force. When considering the motion of two bodies, one of the most important concepts is the reduced mass coordinates, a quantity that allows the two-body problem to be solved like a single-body problem. In these circumstances, it is assumed that a single body with reduced mass revolves around another body fixed in a position with an...

First Law: Particles in Two-dimensional Equilibrium

First Law: Particles in Two-dimensional Equilibrium

Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about the...

Linear Approximation in Time Domain

Linear Approximation in Time Domain

Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...

Dimensional Analysis

Dimensional Analysis

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...

You might also read

Related Articles

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

Sort by

Same author

Mixed-State Topological Order and the Errorfield Double Formulation of Decoherence-Induced Transitions.

Physical review letters·2026

Same author

Linear magnetoresistance from glassy orders.

Proceedings of the National Academy of Sciences of the United States of America·2024

Same author

Finite-Time Teleportation Phase Transition in Random Quantum Circuits.

Physical review letters·2024

Same author

Scrambling Transition in a Radiative Random Unitary Circuit.

Physical review letters·2023

Same author

Cross Entropy Benchmark for Measurement-Induced Phase Transitions.

Physical review letters·2023

Same author

Measurement-Induced Power-Law Negativity in an Open Monitored Quantum Circuit.

Physical review letters·2022

Search research articles

Related Experiment Video

Updated: May 13, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Many-body localization in one dimension as a dynamical renormalization group fixed point.

Ronen Vosk¹, Ehud Altman

¹Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel.

Physical Review Letters

|February 26, 2013

Summary

We introduce a dynamical renormalization group (RG) method to study random spin chains. This reveals a many-body localized state as a fixed point, explaining delayed logarithmic entanglement growth without thermalization.

More Related Videos

Single-Molecule Measurement of Protein Interaction Dynamics Within Biomolecular Condensates

Single-Molecule Measurement of Protein Interaction Dynamics Within Biomolecular Condensates

Published on: January 5, 2024

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Published on: October 16, 2017

Related Experiment Videos

Last Updated: May 13, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Single-Molecule Measurement of Protein Interaction Dynamics Within Biomolecular Condensates

Single-Molecule Measurement of Protein Interaction Dynamics Within Biomolecular Condensates

Published on: January 5, 2024

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Published on: October 16, 2017

Area of Science:

Condensed Matter Physics
Quantum Many-Body Systems
Statistical Mechanics

Background:

Understanding the time evolution of quantum systems with disorder is crucial.
Many-body localization (MBL) prevents thermalization in disordered quantum systems.
The growth of entanglement provides insights into the dynamics of such systems.

Purpose of the Study:

To develop a dynamical real space renormalization group (RG) approach for random spin-1/2 chains.
To identify and characterize the many-body localized state within this framework.
To explain the universal features of entanglement growth observed in numerical simulations.

Main Methods:

Formulation of a dynamical real space renormalization group (RG) approach.
Identification of a many-body localized state as a dynamical infinite randomness fixed point.
Asymptotic exactness of the method near the fixed point for analytic calculations.

Main Results:

The RG approach explains the delayed unbounded logarithmic growth of entanglement.
This growth is inversely proportional to the interaction strength, contrasting with non-interacting systems.
The interacting system does not thermalize due to an infinite set of approximate integrals of motion.

Conclusions:

The many-body localized state is identified with an emergent generalized Gibbs ensemble.
The RG method provides an analytic tool to understand dynamics in disordered quantum systems.
The findings offer a new perspective on non-ergodic behavior in interacting quantum matter.