SciPost Submission Page
New Exotic Many-body Interference in 2D-Topological Superfluid Fermi Gases: A Non-Adiabatic SU(4) Symmetry Approach
by Mathurin Esouague Ateuafack, Michael Nana Jipdi, Jaures Tchinda Diffo , Lavoisier Wah , Loic Temdie and Lukong Cornelius Fai
Submission summary
| Authors (as registered SciPost users): | Mathurin Esouague Ateuafack |
| Submission information | |
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| Preprint Link: | scipost_202412_00013v1 (pdf) |
| Date submitted: | 2024-12-08 06:20 |
| Submitted by: | Ateuafack, Mathurin Esouague |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
This study investigates many-body interference (MBI) within a non-adiabatic (NA) framework in a 2D-topological superfluid Fermi (TSF) gas subjected to transverse and longitudinal periodic magnetic fields. Utilizing SU(4) symmetry mapping, we model the system via a multipassage multilevel Landau-Zener-Majorana-Stückelberg (LZMS) approach, akin to a two-stage Mach-Zehnder interferometer. By finely tuning system parameters, we discover the presence of Aharonov-Bohm oscillations, indicating quantum interference effects driven by magnetic flux. Notably, we observe the emergence of an exotic “butterfly-shaped” interference pattern. In the “weak-weak” regime, this pattern signals topological phases and transitions associated with Fermi ring formation. This corresponds to the emergence of protected edge states and topologically non-trivial quantum states, with quantum phase transitions driven by spin-orbit coupling (SOC) and chemical potential (CP). Additionally, we enhance the probability of transitioning to a desired final state within a single period while maintaining system coherence. Leveraging the multiple passages and favorable coherence properties inherent in the TSF, we propose an experimental protocol for engineering SOC and pair potential (PP) in ultracold Fermi gases that employs Stückelberg oscillations and includes analyzing interference fringe and conducting multiphoton resonance spectroscopy. This research provides significant new insights into quantum interference effects and topological phases, paving the way to more efficient and fault-tolerant quantum computing systems.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
Reports on this Submission
Strengths
1-multi-level generalization of the Landau-Zener transition.
2-potential applicability to quantum-information processing.
Weaknesses
1-Interpretation of the main results lacks physically reasonable arguments.
2- The relevance of their analysis to 2D topological superfluid Feri gases is not clear.
3-The presentation of the results is poor.
Report
I have a negative opinion on the manuscript. I believe that, even if the manuscript will finally be accepted, the authors should make at least substantial revisions before.
Requested changes
1-Title
2-Use of acronyms
3-Typos
4-The unnumbered figures
5-Improve the figure captions
6-Substantial revisions should be made in section 4
See the attached file for more details.
Recommendation
Ask for major revision
Strengths
1- Elegant solution of the time-evolution of a topological superfluid in the presence of a time-varying longitudinal and/or transverse magnetic field
2- Generalization of Landau-Zener solution in the presence of several band gaps leads to Stückelberg oscillations that could be probed experimentally
Weaknesses
1- The interactions are treated at the mean-field level, hence correlations effects may not be well taken into account
2- The comparison between analytical and numerical results is not presented in a satisfactory manner
3- There is no SU(4) symmetry so that the title is misleading
Report
This theoretical paper aims at describing the time-evolution of a quantum system in the presence of time varying fields. The system which is considered is a topological superfluid, described using 4-dimensional Bogoliubov-de Gennes (BdG) formalism, and the interactions are treated at the mean-field level.
As is well-known in quantum mechanics, level crossings will lead to Landau-Zener-like effects. In particular, in the presence of several crossings, Stückelberg interferences are expected. This is confirmed analytically and numerically in this setup, which focuses on the non-adiabatic case where the field variations are fast so that the system does not remain in its groundstate.
I find the topic interesting and the results make sense, so that I would recommend publication if the authors can answer the following requests.
Requested changes
1- I do not see at all the role of so-called SU(4) symmetry. Of course, the system is described using a 4-component spinor (as in BdG formalism) but they do not transform in an SU(4) irrep. What is the role, if any, of SU(4) here ? If it is irrelevant, it should be removed from the paper.
2- Why do the authors use the terminology "multiphoton" in several places ?
3- Stückelberg oscillations can also be found using Bloch states, see e.g. Phys. Rev. A 92, 063627 (2015)
4- I do not understand the sentence "(data) suggest that the system maintains coherence". By definition, there is no decoherence so the system has to remain coherent ?
5- Since there is an analytic solution for linear or periodic driving, it would be useful to check the numerical study in some limit.
6- The experimental platforms section should be expanded: what would be the condensed-matter system ? For a cold atomic setup (where parameters are given), there is no simple equivalent of ARPES, so how could this be checked ?
7- Minor points: there are some typos " turned " -> "tuned ", " Stratonovic " etc.
8- Minor point: there are issues with some references, e.g. wrong doi for [40]
Recommendation
Ask for minor revision
Author: Mathurin Esouague Ateuafack on 2025-02-27 [id 5247]
(in reply to Report 1 on 2025-02-05)See the attach file.
Attachment:
response_to_reviewer_scipost.pdf
Anonymous on 2025-04-01 [id 5328]
(in reply to Mathurin Esouague Ateuafack on 2025-02-27 [id 5247])I have read the authors' answers and there are still some points that I do not understand:
Otherwise I think that the paper could be published after this comment has been taken into account.