SciPost Submission Page
Interaction quenches in Bose gases studied with a time-dependent hypernetted-chain Euler-Lagrange method
by Mathias Gartner, David Miesbauer, Michael Kobler, Julia Freund, Giuseppe Carleo, Robert E. Zillich
Submission summary
| Authors (as registered SciPost users): | Mathias Gartner · Robert Zillich |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2212.07113v2 (pdf) |
| Date accepted: | 2025-03-26 |
| Date submitted: | 2025-01-24 16:47 |
| Submitted by: | Zillich, Robert |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| Approaches: | Theoretical, Computational |
Abstract
We present a new variational method to study the dynamics of a closed bosonic many-body system, the time-dependent hypernetted-chain Euler-Lagrange method, tHNC . Based on the Jastrow ansatz, it accounts for quantum fluctuations in a non-perturbative way. tHNC scales well with the number of dimensions, as demonstrated by our results on one, two, and three dimensions. We apply the tHNC method to interaction quenches, i.e. sudden changes of the interaction strength, in homogeneous Bose gases. When the quench is strong enough that the final state has roton excitations (as found and predicted for dipolar and Rydberg-dressed Bose-Einstein condensates, respectively), the pair distribution function exhibits stable oscillations. For validation, we compare tHNC results with time-dependent variational Monte Carlo results in one and two dimensions.
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 thank the referees for their helpful reports, and apologize for the lengthy “awaiting resubmission” status of our
manuscript on the SciPost submission web site. We have finally revised the manuscript heeding the advice of the two
referees.
We attach the reply to their suggestions, questions, and criticism as pdf files uploaded via
the "Reply to the above Report" link.
The referee reports are in blue and our replies are in black.
List of changes
We added a comparison of the computational effort of tHNC and tVMC.
We explain what we mean by ``nonlinear process''
We provide a comparison between the Bogoliubov approximation, the HNC approximation and the exact result for $g(r)$ in the ground state in a new appendix C, including a new Fig.8.
We improved Fig.2 and its caption: adding a color bar, adding the sound cone and explaining the color scheme;
At the start of the results sections we elaborated a bit more on how the result section is structured
At the start of section 3.1 we give a physical picture of the Rydberg-dressed interaction.
We moved the technical details of the tVMC simulations to the appendix.
We extended the discussion of the ``light cone'' ideas considerably, describing and explaining the additional light cone lines in Fig.1.
We combined former Fig.1 and 4 into one Fig. with two panels, because in the new discussion of the light cone we need to refer to Fig.4 earlier in the text than in the old manuscript.
We updated Fig.7 (former Fig.8) by showing the stochastic error.
We converted the inline equation for the action S into equation (4) in order to reference this definition in app.A
In app. A, we explicitly show the time dependence of all quantities instead of omitting it
We added a reference for Feshbach resonances in the introduction
various small changes in formulation
New References:
A. Kerman and S. Koonin, Annals of Physics 100, 332–358 (1976).
Haegeman et al, PRL 107, 070601 (2011)
G. Pupillo et al, PRL 104, 223002 (2010)
C. Chin et al, Rev. Mod. Phys. 82, 1225 (2010)
L. Madeira and V. S. Bagnato, Symm. 14, 678 (2022)
F. Dalfovo, S. Giorgini, L. P. Pitaevskii and S. Stringari, Rev. Mod. Phys. 71, 463 (1999)
O. Morsch and M. Oberthaler, Rev. Mod. Phys. 78, 179 (2006).
A. Polkovnikov et al., Rev. Mod. Phys. 83, 863 (2011)
T. Langen, R. Geiger and J. Schmiedmayer, Annu. Rev. Condens. Matter Phys. 6, 201 (2015)
M. Cheneau et al., Nature 481, 484 (2012)
P. Makotyn, Nat. Phys. 10, 116(2014)
N. Navon et al.,Nat. Phys. 17(12), 1334 (2021)
Current status:
Editorial decision:
For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)
Reports on this Submission
Report
The authors have convincingly replied to all my comments. I recommend the publication of the manuscript "Interaction quenches in Bose gases studied with a time-dependent hypernetted-chain Euler-Lagrange method" in SciPost Physics.
Recommendation
Publish (easily meets expectations and criteria for this Journal; among top 50%)
Report
The Authors have appropriately addressed all raised comments. Also the text was reorganized and extended. I find that this improved the quality of the presentation and now the Manuscript meets the high requirements of the journal.
I recommend the publication of the Manuscript.
The only minor comment I have is that wording "average neighbor distance" is not commonly used as compared to "mean interparticle distance". Also it might something else, for example, in a perfect hexanal 2D crystal, each atoms has 6 neighbors at the same distance (lattice spacing), while distance, related to the density is different.
Recommendation
Publish (easily meets expectations and criteria for this Journal; among top 50%)