Transitions in the Ergodicity of Subrecoil-Laser-Cooled Gases

Eli Barkai, Günter Radons, Takuma Akimoto

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With subrecoil-laser-cooled atoms, one may reach nanokelvin temperatures while the ergodic properties of these systems do not follow usual statistical laws. Instead, due to an ingenious trapping mechanism in momentum space, power-law-distributed sojourn times are found for the cooled particles. Here, we show how this gives rise to a statistical-mechanical framework based on infinite ergodic theory, which replaces ordinary ergodic statistical physics of a thermal gas of atoms. In particular, the energy of the system exhibits a sharp discontinuous transition in its ergodic properties. Physically, this is controlled by the fluorescence rate, but, more profoundly, it is a manifestation of a transition for any observable, from being an integrable to becoming a nonintegrable observable, with respect to the infinite (non-normalized) invariant density.

Original languageEnglish
Article number140605
JournalPhysical Review Letters
Issue number14
StatePublished - 1 Oct 2021

Bibliographical note

Publisher Copyright:
© 2021 American Physical Society


Israel Science Foundation Japan Society for the Promotion of Science The support of Israel Science Foundation’s Grant No. 1898/17 is acknowledged (E. B.). This work was supported by the JSPS KAKENHI Grant No. 240 18K03468 (T. A.). We thank Tony Albers, Nir Davidson, and Lev Khaykovich for helpful suggestions.

FundersFunder number
Israel Science Foundation Japan Society for the Promotion of Science
Japan Society for the Promotion of Science240 18K03468
Israel Science Foundation1898/17


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