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

Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

2.6K
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.
2.6K
Divergence and Curl of Magnetic Field01:26

Divergence and Curl of Magnetic Field

3.1K
The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
3.1K
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

746
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
746
Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

3.2K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
3.2K
Divergence and Stokes' Theorems01:06

Divergence and Stokes' Theorems

1.7K
The divergence and Stokes' theorems are a variation of Green's theorem in a higher dimension. They are also a generalization of the fundamental theorem of calculus. The divergence theorem and Stokes' theorem are in a way similar to each other; The divergence theorem relates to the dot product of a vector, while Stokes' theorem relates to the curl of a vector. Many applications in physics and engineering make use of the divergence and Stokes' theorems, enabling us to write...
1.7K
Space-Time Curvature and the General Theory of Relativity01:17

Space-Time Curvature and the General Theory of Relativity

2.8K
In 1905, Albert Einstein published his special theory of relativity. According to this theory, no matter in the universe can attain a speed greater than the speed of light in a vacuum, which thus serves as the speed limit of the universe.
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of...
2.8K

You might also read

Related Articles

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

Sort by
Same author

Cusp solitons mediated by a topological nonlinearity.

Chaos (Woodbury, N.Y.)·2026
Same author

Bulk-Hole Correspondence and Inner Robust Boundary Modes in Singular Flatband Lattices.

Physical review letters·2025
Same author

Identifying topology of leaky photonic lattices with machine learning.

Nanophotonics (Berlin, Germany)·2024
Same author

Flat band fine-tuning and its photonic applications.

Nanophotonics (Berlin, Germany)·2024
Same author

Optimizing biphoton generation via reconfigurable nonlinear waveguide arrays based on scattering tensor.

Optics express·2024
Same author

Res-U2Net: untrained deep learning for phase retrieval and image reconstruction.

Journal of the Optical Society of America. A, Optics, image science, and vision·2024

Related Experiment Video

Updated: Jul 30, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

610

Unravelling quantum chaos using persistent homology.

Harvey Cao1, Daniel Leykam1, Dimitris G Angelakis1,2,3

  • 1Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore.

Physical Review. E
|May 18, 2023
PubMed
Summary

We present a topological pipeline to analyze quantum dynamics, identifying chaotic behavior in quantum systems using persistent homology. This method helps classify complex quantum phases with limited experimental data.

More Related Videos

Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging
05:45

Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging

Published on: March 31, 2022

2.7K
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

409.4K

Related Experiment Videos

Last Updated: Jul 30, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

610
Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging
05:45

Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging

Published on: March 31, 2022

2.7K
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

409.4K

Area of Science:

  • Quantum physics
  • Complex systems analysis
  • Topological data analysis

Background:

  • Topological data analysis (TDA) offers powerful methods for extracting insights from complex datasets.
  • Classical systems analysis uses TDA to identify chaotic dynamics by reconstructing attractors.
  • Characterizing complex dynamics in open quantum systems remains a challenge due to limited analytical and experimental tools.

Purpose of the Study:

  • To develop a topological pipeline for characterizing quantum dynamics.
  • To adapt classical TDA methods for analyzing open quantum systems.
  • To enable the classification of quantum dynamical regimes using limited measurements.

Main Methods:

  • Utilizing single quantum trajectory unravelings of the master equation to construct analog quantum attractors.
  • Applying persistent homology to extract topological features from these quantum attractors.
  • Implementing the pipeline on a periodically modulated Kerr-nonlinear cavity.

Main Results:

  • Successfully constructed analog quantum attractors from quantum trajectories.
  • Extracted topological signatures to differentiate between regular and chaotic quantum phases.
  • Demonstrated the method's efficacy in classifying parameter regimes with limited data.

Conclusions:

  • The developed topological pipeline provides a novel approach for characterizing quantum dynamics.
  • This framework allows for the identification of chaotic behavior in open quantum systems.
  • The method shows promise for experimental applications requiring classification of quantum phases.