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Apr 19, 2024

School on Quantum Chaos

Posted by in categories: education, evolution, particle physics, quantum physics, space

Quantum chaos focuses on the quantum manifestations of classical chaos. A characteristic of classical chaos is the exponential sensitivity of the dynamics with respect to infinitesimal changes in the initial conditions. Thus, to classify classical dynamics it is sufficient to follow phase space trajectories starting infinitesimally close to each other and to determine the evolution of their distances with respect to each other with time. Because of the uncertainty relation, this is no longer possible in the corresponding quantum system. One important aspect of quantum chaos is the understanding of features of the classical dynamics in terms of the fluctuation properties in the energy spectra of closed quantum systems or of the fluctuations exhibited by the scattering matrix elements describing open ones. The fluctuation properties are predicted to be universal, that is, to be the same for systems belonging to the same universality class and exhibiting the same chaotic behavior in the corresponding classical dynamics and to be describable by random matrix theory. Furthermore, random-matrix models that had been developed for the scattering matrix associated with compound-nuclear reactions have been shown to be applicable to quantum-chaotic scattering processes. A second important aspect within the field of quantum chaos concerns the semiclassical approach. In this context, one of the most important achievements was the periodic orbit theory pioneered by Gutzwiller, which led to understanding the impact of the classical dynamics on the properties of the quantum system in terms of purely classical quantities. The focus of research within the field of quantum chaos has been extended to relativistic quantum systems and to many-body quantum systems with focus on random matrix theory and the semiclassical approach. In distinction to single-particle systems, many-body systems like atomic nuclei do not have a classical analogue. In recent years different measures of chaos and models have been developed. Here, a prominent model is the Sachdev-Ye-Kitaev model which serves as a paradigm for the study of quantum chaos in strongly interacting many-body systems. The school is aimed at PhD students, post-docs and outstanding master students and the first part will provide a survey of single-and many-body quantum chaos and applications based on random-matrix theory and the semiclassical approach. The second part of the school will focus on current aspects of research in the context of many-body quantum chaos. There is no registration fee and limited funds are available for travel and local expenses. Organizers: Hilda Cerdeira (IFT-UNESP, Brazil) Barbara Dietz-Pilatus (Institute for Basic Science (IBS), Republic of Korea)

Apr 19, 2024

Chaos: The real problem with quantum mechanics

Posted by in categories: mathematics, quantum physics, space

Check out the math & physics courses that I mentioned (many of which are free!) and support this channel by going to where you can create your Brilliant account. The first 200 will get 20% off the annual premium subscription. You have probably heard people saying that the problem with quantum mechanics is that it’s non-local or that it’s impossible to understand or that it defies common sense. But the problem is much simpler, it’s that quantum mechanics is a linear theory and therefore doesn’t correctly reproduce chaos. Physicists have known this for a long time but it’s rarely discussed. In this video I explain what the problem is, what physicists have done to try and solve it, and why that solution doesn’t work. Subscribe to my weekly science newsletter: You find the estimate for Saturn’s moon Hyperion in Zurek’s review A much easier to digest and more readable review by Michael Berry is here: https://michaelberryphysics.files.wor… you can find a brief summary on Sean Carroll’s blog… 0:00 Intro 0:27 The trouble with Hyperion 4:04 The alleged solution 6:02 The trouble with the solution 7:46 What a real solution requires 10:31 Sponsor message.

Apr 19, 2024

How Chaos Control Is Changing The World

Posted by in categories: mathematics, quantum physics, robotics/AI

Try out my quantum mechanics course (and many others on math and science) on Brilliant using the link You can get started for free, and the first 200 will get 20% off the annual premium subscription.

Physicists have known that it’s possible to control chaotic systems without just making them even more chaotic since the 1990s. But in the past 10 years this field has really exploded thanks to machine learning.

Continue reading “How Chaos Control Is Changing The World” »

Apr 19, 2024

Disorderly genius: How chaos drives the brain

Posted by in category: neuroscience

Apr 19, 2024

AI now surpasses humans in almost all performance benchmarks

Posted by in category: robotics/AI

As discussed. if we went by definition of AI 20 years back we d probably say we are at Agi now. but goal posts are constantly bein moved to superior to humans in all areas. 20 years back would of called it ASI.

Stand back and take a look at the last two years of AI progress as a whole… AI is catching up with humans so quickly, in so many areas, that frankly, we need new tests.

Apr 19, 2024

Zuck just revealed the secret ingredient in his bromance with Jensen Huang

Posted by in category: futurism

Mark Zuckerberg and Jensen Huang’s friendship appears to be Silicon Valley’s latest bromance.

They have a lot in common: both run Big Tech firms worth trillions, they each have a signature jacket, and now they’re bonding over cheesesteaks.

The Meta CEO said the dynamic duo like to break bread and revealed what they chat about when they get together.

Apr 19, 2024

Scientists just found an evolutionary holy grail

Posted by in category: futurism

A new report traces the extraordinary lineage of a common Amazonian butterfly—and estimates the hybridization of its two parental species happened around 180,000 years ago.

Apr 19, 2024

The idea that matter is mostly empty space is mostly wrong

Posted by in category: particle physics

Practically all of the matter we see and interact with is made of atoms, which are mostly empty space. Then why is reality so… solid?

Apr 19, 2024

BLINK: Multimodal Large Language Models Can See but Not Perceive

Posted by in category: futurism

From upenn BLINK multimodal large language models can see but not perceive.

From UPenn.

Multimodal large language models can see but not perceive.

Continue reading “BLINK: Multimodal Large Language Models Can See but Not Perceive” »

Apr 19, 2024

Lamb Lecture 2024 ‘Quantum information, chaos, and space-time’

Posted by in category: quantum physics

Quantum gravity aims to find a description of spacetime and gravity that obeys the rules of quantum mechanics.

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