Chapter 478: Crushing from the Dimension

It's impossible to wait for a month, and of course, it doesn't take that long.

Less than a week after the workshop, Xu Chuan uploaded the official paper to the ARXIV preprint website.

In fact, on the third day, he had already made up the last step.

After all, before that, he had already advanced a long way on the road of strongly correlated electronic systems.

The reason why it took nearly a week was mainly to check and fill in the gaps and sort out the relevant manuscripts.

He didn't expect that he would be able to find a key way out so quickly, and he would be able to smoothly connect all the previous research.

Therefore, some of the previous research materials have not yet had time to be sorted out because of the reason for coming to the seminar.

In the study, looking at the uploaded paper, Xu Chuan breathed a long sigh of relief.

The dimension is used to study the strongly correlated electronic system, and different strong electronic correlated systems are divided according to different dimensional spaces.

This path was far more perfect than any direction he had ever thought of before.

But correspondingly, it is also much larger.

Even he can't improve and supplement all the dimensional systems in a short period of time, what he is doing is a holistic framework.

In the future, it will take a long time for other physicists to supplement and improve.

But despite this, it's still a great job.

After all, he found a more universal unified theoretical framework to unify the charge, spin, and phase in the strongly correlated electronic correlation system to form complex collective patterns under different nuclear configurations.

At least mathematically, yes.

As for whether this framework can be applied to most of the strong correlation systems, it needs to be verified through experiments in the future.

The puzzles in the field of physics are different from mathematics.

The proof of a mathematical conjecture requires a complete, correct and logically self-consistent process, as well as peer review.

The solution of physical problems, especially condensed matter physics, which is more experimental, will take a long time to be accepted by the entire physics community.

Moreover, it needs to be demonstrated through a lot of experiments.

Perhaps in the process, it is possible that it will find flaws, find problems, or even be overthrown.

After all, even the Standard Model, after being proposed in the sixties of the last century, has experienced countless ups and downs in the past few decades, and has even been almost completely overthrown several times.

Now, after decades of patches in physics, it has become one of the cornerstones of physics.

Xu Chuan believes that in the two parts of condensed matter physics and quantum physics, he has developed a strong correlation and unified framework, and can also survive the wind and rain.

After uploading the paper to the arxiv website, Xu Chuan stretched, got up from his chair, and went into the bathroom to take a hot shower.

This is probably his last achievement of the year.

Of course, this year is divided according to the lunar calendar.

It is already the middle of the lunar month, and there are about ten days left, and the New Year is almost over.

It's also time for him to go back.

As for the report on the strongly correlated electronic system, let's put it on after the year.

Chinese New Year matters.

And in any case, it will take some time for the physics community to understand his paper and framework.

Mathematical theories are used to frame strongly correlated electronic systems, although no cutting-edge mathematical knowledge is used, such as Hodge's theory and the NS equation, which have only been proven in recent years.

But the mathematical approach in the framework is still somewhat complex for many physicists.

Compared with mathematics, which basically relies purely on the brain, and at most adds supercomputing as a tool, physics relies heavily on various scientific research equipment to expand.

For example, the Large Strong Particle Collider, Sky Eye, Hubble/Webb telescopes, observation arrays, electron microscopy equipment, and so on.

Purely mathematical methods are comparatively rare.

It can even be said that the mathematical methods used in physics today are basically the same as in the last century.

The gap is so big, so real.

After taking a hot shower and changing into clean and refreshing clothes, Xu Chuan came to the bedside, picked up the landline and dialed the hotel front desk, asking them to prepare a meal.

Although it was not yet time for dinner, he was already hungry.

Organizing your manuscript and entering it into your computer is too much of a drain.

Drying his hair, Xu Chuan made a cup of tea and sat back in the study.

Although the framework of a strongly correlated electronic system has been made, this does not mean that the work is over.

In addition to the framework of great unification, there are many problems with the strong correlation system.

For example, to find a more efficient and accurate numerical method for the analytical solution of the many-body problem in the strongly correlated electronic system, to design the prediction and optimization model algorithm for the new strongly correlated materials, and to explore the generation mechanism and characteristics of the topological state in the strongly correlated system, so as to provide a theoretical basis for the realization of new quantum devices, etc.

This is where the biggest difference between physics and mathematics lies.

The solution of a problem is not to finish, but to begin.

In particular, the last one, which provides a theoretical basis for the realization of new quantum devices, is a new research direction that he has arranged for himself in the coming time.

When it comes to quantum devices, the first thing that comes to mind is basically a quantum computer.

This is a machine that enables quantum computing, which uses the laws of quantum mechanics to perform mathematical logic operations and process and store information.

Compared with traditional computers, quantum computers have many advantages.

For example, 'parallel computing power' is stronger, 'information storage density' is higher, 'specific problems can be solved quickly', and so on.

When a traditional computer processes multiple computing tasks at the same time, they need to be completed sequentially.

Quantum computers, on the other hand, can handle multiple computational tasks at the same time.

This means that quantum computers can complete more complex computational tasks in less time.

Especially in the field of scientific research, quantum computers have unique advantages.

For example, in the field of chemical materials and pharmaceutical simulation, classical computers require a long time and a lot of computational resources to calculate the properties of large-scale molecules.

Quantum computers can be used to simulate the properties of molecules, providing more accurate predictions and calculations when doing these scientific simulations.

However, quantum computers are excellent, but how to make a quantum computer with no errors and a wide range of uses is still the biggest problem in the scientific community.

The key to this lies in the 'qubit', the basic unit of information used by quantum computers.

Unlike the non-0 or 1 binary code used by conventional computers, qubits can exist in both 0 and 1 states.

This uncertainty stems from quantum superposition in physics: "that is, a quantum system can exist in multiple separate quantum states at the same time." ”

It's a bit of a mouthful, but it's easy to understand simply.

The fastest way is the famous quantum physicist Schrödinger's cat that is "both dead and alive".

'Schrödinger's cat' refers to a cat that is kept in a confined room.

Inside the enclosed room, there was a glass bottle containing a highly toxic gas, and above the bottle was a box containing radioactive radium atoms, and inside the box was a mechanism to detect whether the radioactive radium atoms had decayed.

If the radium atoms decay, the mechanism controls a hammer to smash the glass bottle, releasing poison gas and killing the cat.

If there is no decay, the trap will not trigger and the cat will live.

But according to the theory of quantum mechanics, radium due to radioactivity is in the superposition of two states: decay and non-decay.

Theoretically, cats should be in a state of superposition of dead and live cats.

So you can never know if the cat inside the box is dead or alive until you open the box.

Upon opening the box, it quickly collapses into the only reality, dead or alive.

Although Schrödinger proposed this theory only to mock quantum mechanics at first, it is the simplest and most appropriate way to understand quantum superposition in the fastest way.

While people don't encounter such "ghost cats" in real life, a similar situation exists with qubits.

It can have two or more multiple states at the same time, like Schrödinger's cat, both dead and alive.

And the way to break the superposition state is to measure.

When we open the box, we know that Schrödinger's cat lives and dies because we get a definite result (either dead or alive), and the superposition state ceases to exist.

The computational process of a quantum computer involves measuring qubits so that their superimposed quantum states collapse to 0 or 1.

This is the core mechanism of quantum computers, and it is also the biggest core difficulty in realizing quantum computers.

Because qubits are essentially subatomic particles that are essentially in a superimposed state.

It is extremely sensitive, whether it is electrons, ions, or photons, or subtle changes in the environment around the qubit, such as vibration, electric field, magnetic field, cosmic radiation, etc., may input energy to the qubit, and then collapse the superimposed state and make the qubit fail.

Therefore, qubits need to be sealed in an extremely cold, vacuum environment to minimize any interference.

However, with the construction of the theoretical framework of strongly correlated electronic systems, the study of the generation mechanism and characteristics of topological states of matter in physics can effectively provide a theoretical basis for new quantum devices in the future.

It can greatly reduce the difficulty of fabricating and implementing new quantum devices.

As the author of the theoretical framework for realizing strongly correlated electronic systems, there is no reason why Xu Chuan should not continue to study this aspect in depth.

After all, if quantum computers make new breakthroughs, the existing traditional computers, even large-scale supercomputers, will be the scum of war.

Because it's not a matter of calculating speed, it's a crushing from dimensions!

PS: The second more asks for a monthly pass!