SciPost Submission Page
Emergent dipole field theory in atomic ladders
by Hernan Bueno Xavier, Poetri Sonya Tarabunga, Marcello Dalmonte, and Rodrigo G. Pereira
Submission summary
| Authors (as registered SciPost users): | Hernan Bueno Xavier · Marcello Dalmonte |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202408_00021v1 (pdf) |
| Date submitted: | 2024-08-19 23:43 |
| Submitted by: | Bueno Xavier, Hernan |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We study the dynamics of hard-core bosons on ladders, in the presence of strong kinetic constrains akin to those of the Bariev model. We use a combination of analytical methods and numerical simulations to establish the phase diagram of the model. The model displays a paired Tomonaga-Luttinger liquid phase featuring an emergent dipole symmetry, which encodes the local pairing constraint into a global, non-local quantity. We scrutinize the effect of such emergent low-energy symmetry during quench dynamics including single particle defects. We observe that, despite being approximate, the dipole symmetry still leads to very slow relaxation dynamics, which we model via an effective field theory. The model we discuss is amenable to realization in both cold atoms in optical lattices and Rydberg atom arrays with dynamics taking place solely in the Rydberg manifold. We present a blueprint protocol to observe the effect of emergent dipole symmetry in such experimental platforms, combining adiabatic state preparation with quench dynamics.
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
Report
The authors have studied the physics of hardcore bosons in zig-zag ladder with correlated hopping and Ising type interaction. They have obtained the phase diagram using the analytical (bosonization) and numerical (ED) approaches. The main finding is the appearance of a paired Tomonaga-Luttinger liquid (TLL) phase which features an emergent dipole symmetry. This effect has been examined using the quench dynamics of particle defects. They have also proposed experimental realization of the model and present a protocol to observe the effect of the emergent dipole symmetry.
In general the paper contains a detailed analysis of the phases and the transitions and the underlying physics. The calculations (both numerical and analytical) seem concrete. While I feel that the model and the main result i.e. the appearance of the pair TLL phase is not very new, the approach that explains the appearance of such phase is certainly new as compared to earlier studies. They have demonstrated and explained signatures of various phases and phase transitions in the parameter space using various order parameters computed using numerics. In my opinion the manuscript is suitable for publication in Scipost physics. However, before the acceptance I would like the authors to clarify some of the important points which I feel would enhance some of the missing clarity in the manuscript.
-- The statement in the last paragraph in page-4 which says that the PS phases are sensitive to the form of interactions is not clear to me. Some clarification on this will be helpful.
-- The statement that the bosons in one leg will move when assisted by a partner in the neighboring chain (I think it should be leg instead of chain) is not clear from Fig.4. It seems to me from Fig. 4 that the dimer actually breaks rather than moving together.
-- Some clarification related to the selection of the states for different signs of W in Sec. 2.1 should be added.
-- It is not well explained on why the appearance of the diagonal terms in Fig. 7 ensures the emergent dipole symmetry. Can data for W=J be given in Fig. 7? Or is there any specific reason behind excluding this result.
-- Reference to Kramers-Wannier transformation should be given.
-- In the results shown Fig.7, only V=0 case has been considered. Is there any specific reason for this?
-- Do the variation of different parameters in Fig. 8 (a) follow a certain functional form or are they just linearly varied?
-- What is the significance of showing Fig. 8 (b) and highlighting that the low-energy manifold remains separated from the rest of the spectrum? What does the color code in Fig. 8(b) indicate?
-- I am not very sure how reliable the single and two particle correlations are as far as ED calculations are considered.
Recommendation
Publish (meets expectations and criteria for this Journal)
Report
The manuscript is well written and organized and meets the criteria for publication in SciPost. Before publication there are required revisions .
i) The authors use the Tomonaga-Luttinger liquid (TLL) model showing a dipole symmetry and discuss quench dynamics. They should stress the conditions under which the low-energy effective field theory is still applicable under a quench dynamics. They could also refer to papers studying the quench dynamics of one dimensional Bose gases.
ii) The numerical simulations are done by considering a finite size system so the authors should discuss under which condition the field theory description, i.e. the continuum picture, is compatible with the numerical simulations.
iii) The last sentence of the abstract " We present a blueprint protocol to observe the effect of emergent dipole symmetry in such experimental platforms, combining adiabatic state preparation with quench dynamics." is incomprehensible, specially what is meant by combination of adiabatic state preparation with quench dynamics.
Recommendation
Ask for major revision