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Quasiparticle disintegration in fermionic superfluids
by Senne Van Loon, Jacques Tempere, Hadrien Kurkjian
This Submission thread is now published as
|As Contributors:||Senne Van Loon|
|Arxiv Link:||https://arxiv.org/abs/2111.04692v2 (pdf)|
|Date submitted:||2022-01-20 15:43|
|Submitted by:||Van Loon, Senne|
|Submitted to:||SciPost Physics|
We study the fermionic quasiparticle spectrum in a zero-temperature superfluid Fermi gas, and in particular how it is modified by different disintegration processes. On top of the disintegration by emission of a collective boson ($1\to2$, subject of a previous study, PRL 124, 073404), we consider here disintegration events where three quasiparticles are emitted ($1\to3$). We show that both disintegration processes are described by a $t$-matrix self-energy (as well as some highly off-resonant vacuum processes), and we characterize the associated disintegration continua. At strong coupling, we show that the quasiparticle spectrum is heavily distorted near the $1\to3$ disintegration threshold. Near the dispersion minimum, where the quasiparticles remain well-defined, the main effect of the off-shell disintegration processes is to shift the location of the minimum by a value that corresponds to the Hartree shift in the BCS limit. With our approximation of the self-energy, the correction to the energy gap with respect to the mean-field result however remains small, in contrast with experimental measurements.
Published as SciPost Phys. 12, 108 (2022)
List of changes
*Added a discussion on the equation of state and how to relate $\mu/\Delta$ to the coupling $1/k_F a$.
*Added a discussion on possible higher-order processes contributing to the quasiparticle spectrum .
*Clarified that all numerical results make use of the full self-energy, valid for all couplings.
*Clarified why we expect to find a reduction of the corrected gap in the BCS limit, and how to include corrections similar to those predicted by Gor'kov and Melik-Barkhudarov.
*Rewrote the conclusion to reflect the fact that our predictions are experimentally verifiable, and to clarify the connection with superconductors.
Submission & Refereeing History
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Reports on this Submission
Anonymous Report 2 on 2022-1-21 (Invited Report)
The authors have addressed satisfactorily my remarks; I now fully support publication of the present manuscript on SciPost.
Anonymous Report 1 on 2022-1-20 (Invited Report)
The authors modified the manuscript, replying in a very satisfactory way to my remarks in my original referee report. It is therefore my pleasure to recommend the manuscript for publication in SciPost.