Evidence for Bosonization in a Three-Dimensional Gas of SU (N ) Fermions
Abstract
Blurring the boundary between bosons and fermions lies at the heart of a wide range of intriguing quantum phenomena in multiple disciplines, ranging from condensed matter physics and atomic, molecular, and optical physics to high-energy physics. One such example is a multicomponent Fermi gas with SU (N ) symmetry that is expected to behave like spinless bosons in the large-N limit, where the large number of internal states weakens constraints from the Pauli exclusion principle. However, bosonization in SU (N ) fermions has never been established in high dimensions where exact solutions are absent. Here, we report direct evidence for bosonization in a SU (N ) fermionic ytterbium gas with tunable N in three dimensions (3D). We measure contacts, the central quantity controlling dilute quantum gases, from the momentum distribution and find that the contact per spin approaches a constant with a 1 /N scaling in the low-fugacity regime consistent with our theoretical prediction. This scaling signifies the vanishing role of the fermionic statistics in thermodynamics and allows us to verify bosonization through measuring a single physical quantity. Our work delivers a highly controllable quantum simulator to exchange the bosonic and fermionic statistics through tuning the internal degrees of freedom in any generic dimensions. It also suggests a new route toward exploring multicomponent quantum systems and their underlying symmetries with contacts.
- Publication:
-
Physical Review X
- Pub Date:
- October 2020
- DOI:
- arXiv:
- arXiv:1912.12105
- Bibcode:
- 2020PhRvX..10d1053S
- Keywords:
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- Condensed Matter - Quantum Gases;
- Condensed Matter - Other Condensed Matter;
- Quantum Physics
- E-Print:
- 12 pages, 9 figures