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

First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

6.8K
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...
6.8K
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

5.0K
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...
5.0K
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

989
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
989
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

598
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
598
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

2.5K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.5K
Energy Diagrams, Transition States, and Intermediates02:13

Energy Diagrams, Transition States, and Intermediates

16.0K
Free-energy diagrams, or reaction coordinate diagrams, are graphs showing the energy changes that occur during a chemical reaction. The reaction coordinate represented on the horizontal axis shows how far the reaction has progressed structurally. Positions along the x-axis close to the reactants have structures resembling the reactants, while positions close to the products resemble the products.  Peaks on the energy diagram represent stable structures with measurable lifetimes, while...
16.0K

You might also read

Related Articles

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

Sort by
Same author

Zeno Freezing and Anti-Zeno Acceleration of the Dynamic Evolution of Topological Boundary States.

Physical review letters·2025
Same author

Topological Temporal Boundary States in a Non-Hermitian Spatial Crystal.

Physical review letters·2025
Same author

Gyro route towards spatiotemporal vortex.

Science bulletin·2025
Same author

Experimental Realization of Special-Unitary Operations in Classical Mechanics by Nonadiabatic Evolutions.

Physical review letters·2025
Same author

High-dimensional non-Abelian holonomy in integrated photonics.

Nature communications·2025
Same author

Observation of dynamic non-Hermitian skin effects.

Nature communications·2024

Related Experiment Video

Updated: May 24, 2025

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
09:19

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Published on: July 29, 2013

11.4K

Anderson Transition at Complex Energies in One-Dimensional Parity-Time-Symmetric Disordered Systems.

Wei Wang1,2, Xulong Wang1, Guancong Ma1,3

  • 1Hong Kong Baptist University, Department of Physics, Kowloon Tong, Hong Kong, China.

Physical Review Letters
|February 28, 2025
PubMed
Summary
This summary is machine-generated.

Disordered non-Hermitian systems exhibit complex-energy localized modes (CELMs), challenging previous theories. These modes arise from system properties, enriching wave transport control in disordered media.

More Related Videos

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

12.2K
Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

8.3K

Related Experiment Videos

Last Updated: May 24, 2025

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
09:19

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Published on: July 29, 2013

11.4K
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

12.2K
Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

8.3K

Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Wave Phenomena

Background:

  • Anderson localization describes wave transport impediment in disordered systems.
  • Non-Hermitian systems with chiral hopping exhibit Anderson transitions, differing from Hermitian systems.
  • Previously, localized modes had real energies and extended modes had complex energies.

Purpose of the Study:

  • To investigate the existence of Anderson localized modes with complex energies in 1D non-Hermitian disordered rings.
  • To understand the factors governing the emergence of complex-energy localized modes (CELMs).
  • To explore the implications of these findings for wave transport in disordered media.

Main Methods:

  • Theoretical analysis of 1D non-Hermitian disordered rings with chiral hopping.
  • Examination of system properties under periodic and open boundary conditions.
  • Analysis of density of states and non-Bloch parity-time transitions.

Main Results:

  • Anderson localized modes with complex energies (CELMs) were found to exist.
  • The emergence of CELMs is linked to the density of states and non-Bloch parity-time transition.
  • Coexistence of extended, real-energy localized (RELMs), and complex-energy localized modes (CELMs) is predicted.

Conclusions:

  • The interplay of Anderson localization and non-Hermitian physics leads to novel wave phenomena.
  • Complex-energy localized modes (CELMs) are a generic feature of 1D non-Hermitian disordered systems (class AI).
  • This research offers new avenues for controlling wave transport in disordered materials.