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Nonlocal order parameter of pair superfluids

by Nitya Cuzzuol, Luca Barbiero, Arianna Montorsi

Submission summary

Authors (as registered SciPost users): Nitya Cuzzuol
Submission information
Preprint Link: https://arxiv.org/abs/2404.15972v4  (pdf)
Date accepted: 2024-11-11
Date submitted: 2024-09-26 16:50
Submitted by: Cuzzuol, Nitya
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
Approaches: Theoretical, Computational

Abstract

Order parameters represent a fundamental resource to characterize quantum matter. We show that pair superfluids can be rigorously defined in terms of a nonlocal order parameter, named odd parity, which derivation is experimentally accessible by local density measurements. As a case of study, we first investigate a constrained Bose-Hubbard model at different densities, both in one and two spatial dimensions. Here, our analysis finds pair superfluidity for relatively strong attractive interactions. The odd parity operator acts as the unique order parameter for such phase irrespectively to the density of the system and its dimensionality in regimes of total particle number conservation. In order to enforce our finding, we confirm the generality of our approach also on a two-component Bose-Hubbard Hamiltonian, which experimental realization represents a timely topic in ultracold atomic systems. Our results shed new light on the role of correlated density fluctuations in pair superfluids. In addition, they provide a powerful tool for the experimental detection of such exotic phases and the characterization of their transition to the atomic superfluid phase.

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

List of changes

- In the Abstract (line 8): we added the line ", in regimes of total particle number conservation".
- End of section 1: we added the lines from 59 to 64, including a new reference (57).
- End of section 2.1 (below eq.9): we modified lines 139-143.
- Section 3: we added the lines 161-162.
- Section 3.1: we modified lines 184-185.
- caption figure 3: we added " for finite DMRG".
- caption figure 4: we added "by iDMRG simulations".
- caption figure 6: we added "performing iDMRG simulations with a maximum bond dimension of χmax = 400."

Current status:
Accepted in alternative Journal; awaiting puboffer acceptance

Editorial decision: For Journal SciPost Physics Core: Publish
(status: Awaiting author acceptance of publication offer)


Reports on this Submission

Report #2 by Masaki Oshikawa (Referee 1) on 2024-10-30 (Invited Report)

Report

As I wrote in the earlier reports, the findings in the paper are interesting enough to warrant publication. However, I am rather perplexed by the apparent stubbornness of the authors to avoid including details in the paper. I did not mean I was doubting the authors' results or anything, but "the devil is in the details" especially in physics --- don't you agree?
I do not really want to prolong the refereeing process any more.
However, please, please, for the sake of the community, include the nice Figure 1 in the "Authors comments upon resubmission" to the paper. Actually I would like to see similar analysis for other data, but since you have already made the plot, it should not be too difficult or time-consuming to include at least that one figure into the paper.
If the authors comply to this point, I do not need to review the paper again.

Recommendation

Ask for minor revision

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Report #1 by Anonymous (Referee 3) on 2024-10-15 (Invited Report)

Report

This is my third reviewer's report on this manuscript. I recommend
swift publication of the manuscript in its present state, in SciPost
Physics Core.

For details, please read below.

I recommend publication because this theoretical analysis is timely.
Indeed, the pair superfluid phases analysed by the Authors have
recently been predicted to occur in two-species lattice systems
involving either bosons or fermions (cf. the Authors' Ref. [64:
Grémaud & Batrouni PRL 2021]). In this context, the Authors'
theoretical work, involving an order parameter characterising these
phases in a situation which is both closer to projected experiments
and accessible with well-established numerical methods, is welcome.

I suggest SciPost Physics Core as the appropriate venue for two
reasons, both previously identified in my two previous reports.
Firstly, the Authors' presentation is quite technical. Secondly, the
comparison with previously introduced order parameters and their
validity conditions remains limited.

Recommendation

Accept in alternative Journal (see Report)

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Login to report


Comments

Nitya Cuzzuol  on 2024-09-26  [id 4804]

Category:
remark
correction

PDF version of the "Author comments upon resubmission"

Attachment:

replyPaperScipost_report2.pdf