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Topological dynamics of adiabatic cat states
by Jacquelin Luneau, Benoît Douçot, David Carpentier
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | David Carpentier · Jacquelin Luneau |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202301_00021v3 (pdf) |
| Date accepted: | 2024-09-17 |
| Date submitted: | 2024-09-13 11:26 |
| Submitted by: | Luneau, Jacquelin |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
We consider a quantum topological frequency converter, realized by coupling a qubit to two slow harmonic modes. The dynamics of such a system is the quantum analog of topological pumping. Our quantum mechanical description shows that an initial state generically evolves into a superposition of two adiabatic states. The topological nature of the coupling between the qubit and the modes splits these two components apart in energy: for each component, an energy transfer at a quantized rate occurs between the two quantum modes, in opposite directions for the two components, reminiscent of the topological pumping. We denote such a superposition of two quantum adiabatic states distinguishable through measures of the modes’ energy an adiabatic cat state. We show that the topological coupling enhances the entanglement between the qubit and the modes, and we unveil the role of the quantum or Fubini-Study metric in the characterization of this entanglement.
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
Author comments upon resubmission
We would like to thank you and the referees for taking the time to read our manuscript carefully. We are glad to read that the referees are supportive for publication after minor corrections.
We understand that one can consider our manuscript as lengthy. Our manuscript is organized so that the Sec. 2 is a self-contained section in which we define the model and discuss the essential results summarized on Fig. 3. The following Sec. 3 and 4 are addressed to the more technically interested reader. They are devoted to quantitative discussions of the aspects requiring additional technical tools, such as the entanglement between the qubit and the modes. We recognize that this organization of our manuscript was not clearly stated in the introduction. As a result, we modified the last paragraph of the introduction to present more clearly the organization of our manuscript along those lines.
Please find below our detailed answers to the suggestions of improvement of our manuscript with a list of changes.
We thank you for your kind consideration.
With our respectful regards,
Jacquelin Luneau,
Benoît Douçot,
and David Carpentier.
List of changes
- We have modified the last paragraph of the introduction to present more clearly the organization of our manuscript.
- We add a sentence in the end of Sec. 2.1.1 including Refs [54-56] mentioning the relation between the topological coupling between two bosonic modes and a qubit, and conical intersections studied in molecular physics.
- We now precise in section 3.1 that the adiabatic states are constructed as an asymptotic series.
- We add a paragraph in section 3.2 including Refs [55, 56, 68, 69] discussing how our results on the geometric details of the adiabatic dynamics are related to previous works on quantum simulations of spin-orbit-induced anomalous Hall effect using trapped ions.
Published as SciPost Phys. 17, 112 (2024)