Observation of the super Efimov tower in two-dimensional p-wave fermions · revision history
Revision 1
Accepted · first revision · record
- Title
- Observation of the super Efimov tower in two-dimensional p-wave fermions
- Plain
- Theory predicts that identical fermions confined to a plane and tuned to a resonance with one unit of rotation bind in threes, with an infinite ladder of trimers whose energies shrink double-exponentially. No experiment has seen this ladder.
- Precise
- Spin-polarized fermions in 2D at a p-wave Feshbach resonance in a single orbital channel $l = +1$ or $l = -1$. Nishida, Moroz and Son (PRL 2013) predict trimers with $l = +1$ or $-1$ and binding energies $E_n \sim \exp(-2 \exp(3 \pi n/4 + \theta))$, proven rigorously by Gridnev (2014). Answer: observation of at least two trimer features (three-body loss or spectroscopic) whose positions follow the $3 \pi/4$ double-exponential law, or a quantified demonstration that p-wave two-body losses preclude it.
- Settled by
- Three-body loss or radio-frequency spectroscopy in a quasi-2D single-component Fermi gas near a channel-resolved p-wave resonance showing two trimer features at the predicted ratio.
- Kind
- well-posed
- Answer type
- yes-no
- References
- (empty)
- Literature status
- open
- Status note
- Theoretical follow-ups continued through 2025 and a related dynamical super-Efimovian expansion of a unitary gas was observed in 2017 (arXiv:1707.06732), but the super Efimov trimers have not been observed.
- Posed since
- 2013