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Permanent Chaos: How Disorder Emerges in Static Quantum Systems ⚡ экспресс

Original: "Provable random-matrix spectral ramp in a static, geometrically local Hamiltonian"
· Matteo Ippoliti
Even in completely static quantum systems, physicists have found hidden chaos, once thought to be the domain of an ever-changing world.
Abstract

Quantum chaos is usually spotted by a linear ramp in the spectral form factor. A recent breakthrough by BKP rigorously proved this ramp for periodically kicked chains of qudits. Now, researchers have stitched that ramp into a static Hamiltonian using clever quantum clocks that mimic periodic kicks through their internal design. For the first time, this shows that even a stationary, geometrically local many-body system with finite dimensions can harbor genuine chaos. It flips our picture of where quantum chaos hides.

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In the mid-20th century, physicists noticed something odd: the energy levels of complex atomic nuclei behaved like lottery balls — completely unpredictable. Since then, the search for such hidden chaos in the microworld has never stopped. Until recently, it was thought that chaos only appeared in systems that are constantly pushed, like a blender. But now scientists have managed to prove its existence in a completely static quantum system — they used a trick proposed long ago by Feynman and Kitaev: a quantum clock mechanism. It's like sewing an internal metronome into a static structure — the system itself doesn't change, but its energy pattern bears the imprint of chaos. This same pattern, reminiscent of the echo of a distant explosion, has long been known in black hole physics, hinting at a deep connection between gravity and quantum mechanics. This discovery helps explain why heat spreads so quickly even in insulators, and why the spectra of complex atoms remain stable despite internal disorder.

🎯 Energy levels of atomic nuclei behave like winning lottery numbers — completely random. This opened physicists' eyes to quantum chaos.

Scientists
Christian DopplerD. B. McLaughlinDidier QuelozMichel MayorR. A. RossiterStephen Hawking
Tags
entropy spectroscopy black hole
Laws
second law of thermodynamicsDoppler effectHawking radiationgravitational lensingBekenstein-Hawking entropyEinstein field equations
Original: arXiv:2606.30635 · CC BY 4.0 · bridge42worlds