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A “return to the basics” approach helps to unravel new stages of the problem – Florida News Times

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New stages of matter, which are thought to be understandable only using quantum physics, can be studied in a much simpler classical way.

Researchers at the University of Cambridge have used computer modeling to study a potential new phase of matter known as preheated discrete time crystals (DTCs).The properties of preheated DTC were thought to be dependent Quantum physics: A strange law that governs elementary particles. However, researchers have found that they can understand these mysterious phenomena using a simpler approach based on classical physics.

Understanding these new stages of matter is a step towards controlling complex many-body systems and a long-standing goal in a variety of potential applications, such as simulation of complex quantum networks. The results are reported in two joint papers: Physical review letter When Physical Review B..

When you discover something new, be it a planet, an animal, or a disease, you can learn more about it by looking at it in greater detail. Simpler theories are tried first, and if they do not work, more complex theories or methods are tried.

“This was what we thought was the case for preheated DTC,” said Andrea Pizzai, PhD. Candidate for Cavendish Laboratory in Cambridge, lead author of both treatises. “I thought they were basically quantum phenomena, but I could learn more about them with a simpler classical approach.”

DTC is a very complex physical system and there is still much to learn about its anomalous properties. Just as a standard space crystal breaks spatial translational symmetry because it does not have the same structure everywhere in space, DTC is distinct because its structure changes with each “shake” and “push” on a regular basis. Breaks time translation symmetry.

“You can think of it as a parent pushing a child against a swing in the playground,” says Pizzai. “Usually when a parent pushes a child, the child turns back and then pushes again. In physics, this is a fairly simple system. But there are multiple swings in the same playground and the child holds hands. If you hold hands with each other, the system becomes much more complicated and can cause much more interesting and less obvious behavior. Preheating DTC is one such behavior and swings. An atom that functions like, for example, a second or third push. “

First predicted in 2012, DTC has pioneered new fields of research and has been studied in various types, including experiments. Of these, preheated DTC is a system that is relatively easy to implement and does not heat up as rapidly as would normally be expected, but instead exhibits a very long time crystalline behavior. However, they were thought to be dependent on quantum phenomena.

“The development of quantum theory is complex, and even when it comes to managing it, the computational power required is so great that simulation capabilities are usually very limited,” says Pizzasi.

Now, Pizzai and his co-authors have found that in the case of preheated DTC, the use of an overly complex quantum approach can be avoided and a much more affordable classical approach can be used instead. In this way, researchers can simulate these phenomena in a much more comprehensive way. You can now access the most experimentally relevant scenarios, such as 2D and 3D, to simulate more basic components.

Researchers have used computer simulations to use classical Hamiltonian mechanics, as many parents push the swing, under the action of a periodic magnetic field, like children on the swing. I studied interacting spins. The resulting dynamics clearly demonstrated the characteristics of the preheated DTC. For a long time, the magnetization of the system oscillates with a longer period than the magnetization of the drive.

“It’s amazing how clean this method is,” says Pizzasi. “Being able to see a larger system makes it very clear what is happening. Unlike when using quantum methods, there is no need to fight and study this system. This study Hope that the classical Hamiltonian will be established by. Dynamics as a suitable approach to large-scale simulation of complex many-body systems and paving the way for the study of non-equilibrium phenomena. Its preheated DTC Is just one example. “

Pizzai’s co-authors of two recent Cambridge-based treatises are Dr. Andreas Nunnenkamp, ​​now at the University of Vienna, and Dr. Johannes Knolle, now at the Technische Universität München.

Meanwhile, at the University of California, Berkeley, Norman Yao’s group is also studying preheated DTC using classical methods. Surprisingly, the Berkeley and Cambridge teams are asking the same question at the same time. The Yao group will announce the results shortly.

For more information:

Andrea Pizzi, Andreas Nannenkamp, ​​Johannes Knoll. “Classical preheating phase of matter”. Physical review letter (2021). journals.aps.org/prl/accepted/… 9c67616f3831df7292f1

Andrea Pizzi, Andreas Nannenkamp, ​​Johannes Knoll. “A classic approach to one-dimensional, two-dimensional, and three-dimensional preheated discrete-time crystals.” Physical Review B (2021). journals.aps.org/prb/accepted/… 551910d68564c223487a

Quote: The “return to basics” approach is a new phase of the issue taken on September 27, 2021 from https: //phys.org/news/2021-09-basics-approach-unravel-phase.html (2021, September 27th) will help you to figure out

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