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Bose-Einstein condensation and cooling to superlow temperatures

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Can a dilute gas of atoms be cooled and compressed into a single, coherent quantum state (a Bose-Einstein condensate), and how well does phase-transition theory describe such ultracold systems?

Posed by Ginzburg (1999 list)
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History and references

Settled in 1995 by Cornell & Wieman and Ketterle (BEC, Nobel Prize 2001); Chu, Cohen-Tannoudji, Phillips (laser cooling, Nobel Prize 1997).

Ginzburg's problem #6 grouped second-order phase transitions with laser cooling to superlow temperatures and Bose-Einstein condensation (BEC) in gases. By the time his paper appeared, both laser cooling (Nobel 1997) and BEC in dilute atomic vapors (achieved 1995 by Cornell/Wieman with rubidium and by Ketterle with sodium, Nobel 2001) were already accomplished, and Ginzburg discusses them as recent triumphs rather than open puzzles; the general theory of continuous phase transitions (the renormalization group, Wilson's Nobel Prize 1982) likewise predated his paper. Since 1999 BEC has become a mature subfield (atom lasers, BEC-BCS crossover, quantum simulation with cold-atom lattices).

Cool a cloud of atoms enough and every one of them falls into exactly the same quantum wavefunction, so that a whole gas behaves as a single giant matter wave.

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