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The Invisible Sea of Quantum Particles Has Taken Shape ⚡ экспресс

Original: "Probing the Fermi Sea Topology in a Quantum Gas"
Physicists have measured for the first time the shape and "holiness" of the Fermi sea lurking in an ultracold lithium gas.
Abstract

The Pauli exclusion principle forces fermions to fill increasingly higher energy levels, forming at low temperatures a so-called Fermi sea. Its topology (the shape described by invariants like the Euler characteristic) influences the system's response. Theory predicted that this characteristic is 'encoded' in multi-point density correlations of particles. In an experiment with a two-dimensional gas of lithium-6 atoms, scientists for the first time extracted the Euler characteristic by measuring three- and four-point correlations. The results matched the ideal gas, despite interactions, opening a path to studying many-body topology via correlations. Surprising fact: topology can be 'felt' simply by counting how often atoms are found near each other.

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The law discovered by Wolfgang Pauli forbids identical particles from occupying the same spot. Hence, in cold matter, a Fermi sea is born: particles, like water, fill energy levels from bottom to top. The shape of the sea's surface — including 'islands' of emptiness — dictates the properties of the whole system. Experimenters cooled lithium atoms nearly to absolute zero and, using a microscope, tracked how they gather into triplets and quartets. The pattern of these groups, like ripples on water, revealed the topography of the dark depths.

The number of holes matched calculations for single particles, even though lithium atoms collided vigorously — the topological armor proved unexpectedly sturdy.

Now this method will probe Fermi seas in liquid helium-3 and even in the unimaginable crush of neutron stars.

🎯 Without the Pauli principle, electrons in atoms would roll down to the lowest level, and all chemical elements would become indistinguishable — the world would turn into a homogeneous mixture.

Scientists
Emmy NoetherEnrico FermiPaul DiracWolfgang PauliSubrahmanyan ChandrasekharChien-Shiung Wu
Tags
Standard Model helium neutron star
Laws
Noether's theoremFermi–Dirac statisticsspin–statistics theoremFermi's golden ruleChandrasekhar limitCPT theorem
Original: arXiv:2511.23353 · CC BY · bridge42worlds