Chaos Without Disorder: Why Entropy Doesn't Grow express

Original: "Area-Law Entanglement in Quantum Chaotic System"
· Chunyin Chen, Sizhe Yan, Biao Wu
arXiv:2510.27511 · 2025-10-31 · CC BY 4.0 · 1 min
Scientists have discovered a quantum system where chaos doesn't inflate disorder.

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Hundreds of cooks in a kitchen — total chaos. Usually disorder grows. In quantum physics, the measure of such disorder is called entropy John von Neumann. For a many-particle system, entropy typically increases with their number. But scientists have found an exception.

The secret lies in a strict rule: two cooks cannot enter the same aisle at the same time. This blockade is familiar from Rydberg atoms: neighboring particles cannot occupy the same state. Because of this, the entropy does not exceed ln 2 (about 0.7), as if a huge kitchen behaves like a tiny nook.

Although the system appears completely chaotic by all other measures, its entropy is locked at a microscopic level — and does not depend on size.

The result changes the view on quantum chaos. Not only energy is important, but also the geometry of the space where particles live. The authors propose building systems with a given limit of entropy, which opens the way to new quantum devices.

Rydberg atoms, which inspired this work, are giant atoms swollen to the size of bacteria. Their electrons are so far from the nucleus that the atoms can 'feel' each other at huge distances.

The idea that complex systems can hide rigid constraints is reminiscent of Liu Cixin's novel 'The Three-Body Problem,' where outwardly unpredictable chaos obeys hidden laws.

S \leq \ln 2
S is entropy, bounded by the logarithm of two (approximately 0.69)
Scientists
Jacob BekensteinStephen HawkingLudwig BoltzmannRudolf ClausiusWilhelm WienCharles Bennett
Concepts
area law bottleneck quantum entanglement network bell states quantum entanglement spectrum information spread entangled photon pairs spooky action at a distance Hilbert space wald entropy Bekenstein-Hawking entropy hawking area law enthalpy correlation nonlocality Fock space bell test thermal equilibrium superposition Bekenstein bound