In classical physics, phase space trajectories give rise to flow-fields representing the dynamics of the system along its trajectories; they yield additional insight into a system's behavior.
Quantum theory phase space trajectories do not exist because Heisenberg's uncertainty principle does not allow for the formation of sharply defined trajectories. But quantum physicists have not given up entirely on phase space, and so the study of the next best thing, the movement of quantum physics' phase space-based probability distributions, has actually boomed in recent years.
UK-based physicist Ole Steuernagel from the University of Hertfordshire, alongside Dimitris Kakofengitis and Georg Ritter, have found that a new powerful tool they call ‘Wigner flow’ is the quantum analogue of phase space flow. Wigner flow provides information for quantum dynamics similar to that gleaned from phase space trajectories in classical physics. Wigner flow can be used for the visualisation of quantum dynamics. Additionally, and perhaps even more importantly, Wigner flow helps with the abstract analysis of quantum dynamics using topological methods.
Steuernagel said, “Because trajectories are missing in quantum phase space, physicists did not pay much attention to the associated flow-fields, although these do exist. Now, our research shows that quantum phase space flow is well worth studying.”
Sophisticated schemes for the reconstruction of the most prominent of these distributions, ‘Wigner's function’, from experimental data, have set quantum phase space analysis on a firm footing. Yet, since quantum trajectory studies cannot be carried out, some of the power of established classical methods is missing.
Researchers have been studying Wigner flow, which is based on the dynamics of Wigner's function, and have shown that it reveals new and surprising features of quantum phase space dynamics. It forms, for example, vortices that spin the ‘wrong’ way round and which appear in the ‘wrong’ part of phase space, when viewed from a classical physics standpoint. So, such dynamical patterns are manifestations of the quantum nature of the system.
On top of such new riches the team has established the existence of a conservation law that reveals a new type of topological order for quantum dynamics. As an application they have shown that Wigner flow sheds new light on quantum tunnelling, the fundamental process that governs the workings of electronic computer circuits, and also the decay of radio-nuclides.
Published in Physical Review Letters.
- PHYSICAL SCIENCES
- EARTH SCIENCES
- LIFE SCIENCES
- SOCIAL SCIENCES
Subscribe to the newsletter
Stay in touch with the scientific world!
Know Science And Want To Write?
- Great Earthquakes Doubled In The Most Recent 10 Year Period - What That Means
- What Americans Fear Most Isn't Ebola Or Terrorism, It's...
- Why Climate 'Uncertainty' Is No Excuse For Doing Nothing
- ECFA Workshop: Planning For The High Luminosity LHC
- Moderate Pot Use By Adolescents Doesn't Hurt IQ
- Cosmic Rays Jeopardize Deep-Space Astronaut Missions
- Dams Are Not The Smart Way To Secure Water For Agriculture
- "Nah. It's not free for the iPhone/iPad/iPod Touch. Apple products usually don't play nice with..."
- "http://www.cdc.gov/vaccinesafety/vaccines/HPV/index.html says no interesting difference in side..."
- "Tommaso, I fully agree with you that for the moment it would be unwise and unjustified to committ..."
- "Chaos, thanks, I couldn't come up with the word. Well, sure. The article really didn't work to..."
- "So many decisions seem to be made by ISEBYs — in someone else’s back yard. ..."
- Beyond universal donors, some poeple are programed with no blood type at all
- Anti-conventional ag movement spurs Big Ag to look to organic pesticides
- Can people really inherit memories?
- An end to fat shaming? The 50 year DNA mystery of metabolic dysfunction may soon be solved
- Egg freezing: a smart career move?
- Women carry fetal DNA long after children’s birth
- Early palliative care can cut hospital readmissions for cancer patients
- Criminologists try to solve murder mystery: Who will become a killer?
- Researchers record sight neurons in jumping spider brain
- Research suggests team-based care is most effective way to control hypertension
- UNC scientists discover hidden subpopulation of melanoma cells