Related Experiment Video
Updated: May 14, 2026
09:39
Spatial Temporal Analysis of Fieldwise Flow in Microvasculature
Published on: November 18, 2019
Wigner flow reveals topological order in quantum phase space dynamics.
Ole Steuernagel1, Dimitris Kakofengitis, Georg Ritter
1School of Physics, Astronomy and Mathematics, University of Hertfordshire, Hatfield, United Kingdom. O.Steuernagel@herts.ac.uk
Physical Review Letters
|February 5, 2013
Summary
This study identifies a quantum analog to classical particle flow, revealing hidden complexity and topological order in quantum dynamics. This quantum flow offers new insights into the underlying structure of quantum phase space.
Area of Science:
- Quantum Mechanics
- Classical Mechanics
- Dynamical Systems
Background:
- Classical mechanics uses phase portraits to describe system behavior via trajectories.
- Heisenberg's uncertainty principle prevents sharply defined trajectories in quantum mechanics, leading to focus on wave function evolution.
- Traditional quantum dynamics studies overlook underlying quantum phase space dynamics.
Purpose of the Study:
- To identify the quantum analog of classical particle flow along phase portrait lines.
- To reveal hidden features and complexity in quantum dynamics.
- To uncover fundamental topological order in quantum dynamics.
Main Methods:
- Identification of a quantum flow analogous to classical particle flow.
- Analysis of conserved flow winding numbers.
- Investigation of quantum phase space dynamics.
Main Results:
- A novel quantum flow, mirroring classical particle flow, has been identified.
- This quantum flow reveals previously hidden features and increased complexity in quantum dynamics.
- Conserved flow winding numbers highlight fundamental, previously unnoticed topological order.
Conclusions:
- The identified quantum flow provides a new perspective on quantum dynamics.
- This approach uncovers deeper structural properties of quantum phase space.
- The findings suggest a significant role for topological order in quantum systems.
Related Concept Videos
01:22Eulerian and Lagrangian Flow Descriptions
Fluid flow analysis is critical in many scientific and engineering disciplines, and two principal approaches are used to describe this flow: the Eulerian and Lagrangian methods. These methods offer different perspectives on monitoring and analyzing the motion of fluids, each with distinct advantages depending on the scenario.
The Eulerian method focuses on fixed points in space where fluid properties, such as velocity, pressure, and temperature, are observed as the fluid moves between these...
The Eulerian method focuses on fixed points in space where fluid properties, such as velocity, pressure, and temperature, are observed as the fluid moves between these...
02:32The de Broglie Wavelength
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
02:39Phase Transitions: Vaporization and Condensation
The physical form of a substance changes on changing its temperature. For example, raising the temperature of a liquid causes the liquid to vaporize (convert into vapor). The process is called vaporization—a surface phenomenon. Vaporization occurs when the thermal motion of the molecules overcome the intermolecular forces, and the molecules (at the surface) escape into the gaseous state. When a liquid vaporizes in a closed container, gas molecules cannot escape. As these gas phase molecules...
01:27Uniform Depth Channel Flow
Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
01:28Irrotational Flow
Irrotational flow is characterized by fluid motion where particles do not rotate around their axes, resulting in zero vorticity. For a flow to be irrotational, the curl of the velocity field must be zero. This imposes specific conditions on velocity gradients. For instance, to maintain zero rotation about the z-axis, the gradient condition:
01:22Couette Flow
Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...