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Adiabatic Ramsey interference in a pseudo-Hermitian two-level system

by Jing Dong, Xiao-Lin Li, Fu-Quan Dou and Wen-Yuan Wang

Submission summary

Authors (as registered SciPost users): Wen-Yuan Wang
Submission information
Preprint Link: scipost_202510_00042v1  (pdf)
Date submitted: Oct. 23, 2025, 5:14 p.m.
Submitted by: Wen-Yuan Wang
Submitted to: SciPost Physics Core
Ontological classification
Academic field: Physics
Specialties:
  • Atomic, Molecular and Optical Physics - Theory
Approaches: Theoretical, Computational

Abstract

Ramsey interferometry involves two separate pulse fields with a controlled free evolution period between them, exploiting the coherent superposition of two distinct quantum states and their subsequent phase accumulation to manifest interference patterns. This technique has implications across quantum mechanics, quantum optics, and quantum information processing. The pseudo-Hermitian systems have garnered significant attention due to their unconventional properties, such as the existence of exceptional points (EPs) and parity-time ($\mathcal{PT}$) symmetry. Here, we investigate adiabatic Ramsey interference in a two-level pseudo-Hermitian system characterized by nonlinear self-interaction and nonreciprocal coupling between the levels, unveiling novel phenomena that transcends the traditional Hermitian frameworks. We implement a Ramsey interferometer that incorporates two temporally separated Rosen-Zener pulses. By harnessing the properties of the pseudo-Hermitian system, such as $\mathcal{PT}$ symmetric phase transition and associated EPs, we demonstrate that the interference pattern can be generated and controlled, corresponding to coherent control of the quantum states. In particular, the interference pattern observed vanishes as the system transitions from a $\mathcal{PT}$ symmetric phase to a broken-symmetry phase, which underscores the interplay between the symmetry properties of the system and the manifestation of quantum coherence. Our findings provide a theoretical perspective for the manipulation of quantum states in pseudo-Hermitian systems.

Current status:
In refereeing

Reports on this Submission

Report #1 by Anonymous (Referee 1) on 2026-1-16 (Invited Report)

Strengths

1 Clearly explained, reproducible calculations.

Weaknesses

1, Lack of clear motivation for using the model presented in the manuscript 2, Lack of discussion of significance of the results. 3, Unnecessarily inflated language that reduces clarity.

Report

The Authors make a theoretical model to discuss Ramsey interferometry in a two-level pseudo-Hermitian system. They compute the occupancy probability analytically for the simplest case and numerically for subsequent cases. They study the system for different values of the model parameters.

I find that the work lacks clear motivation. Why is this specific model interesting, how could it be realized? In case the paper is more of a mathematical curiosity then I find the numerous mentions of impact quite misleading and not substantiated. Authors claim for example:

  • "... revealing novel and intricate behavior that challenges conventional quantum optical and quantum physical paradigms"
  • "This suppression not only simplifies the quantum dynamics but also opens up new possibilities for quantum state manipulation"
  • "By precisely tuning the system parameters along these lines, one can achieve precise control over quantum state evolution and transitions, opening up new avenues for quantum technologies and applications."

None of these claims are discussed in more details. And given the model that is not based on any realistic system, these claims seem arbitrary.

The results seem to lack clear discussions. Result interpretation is mostly limited to sentences that state that the interference patterns are different than those in a Hermitian system. I find this result not surprising. What are the implications or the importance of these results?

I also find that sentences that are better suited in the discussion sometimes appear in unexpected locations, e.g. "This non-reciprocal transition behavior provides a pivotal theoretical foundation for the precise manipulation of quantum states in non-Hermitian systems." in the caption of Fig 2.

The Authors claim good agreement between the analytic and numerical results in Sec 3.1 however this is not explicitly shown in any way. Maybe a P-delta plot with both the numerical and analytic curves could help quantify the agreement. The Authors call it a "remarkable agreement", however I think that exact analytic results matching a numerical result are not particularly unexpected.

The language of the manuscript often is overly complex with unnecessary use of modifiers (e.g. "profoundly illustrate", "meticulously dissects", "striking result", "profound deviations"). This often hinders understanding.

Overall, for the reasons discussed above, I find the results and the way they are presented do not satisfy the acceptance criteria of SciPost Physics Core.

Recommendation

Reject

  • validity: ok
  • significance: low
  • originality: good
  • clarity: ok
  • formatting: reasonable
  • grammar: acceptable

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