SciPost Submission Page
Ideal fracton superfluids
by Jay Armas, Emil Have
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Emil Have |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202401_00003v1 (pdf) |
| Date accepted: | 2024-01-15 |
| Date submitted: | 2024-01-04 18:42 |
| Submitted by: | Have, Emil |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| Approach: | Theoretical |
Abstract
We investigate the thermodynamics of equilibrium thermal states and their near-equilibrium dynamics in systems with fractonic symmetries in arbitrary curved space. By explicitly gauging the fracton algebra we obtain the geometry and gauge fields that field theories with conserved dipole moment couple to. We use the resultant fracton geometry to show that it is not possible to construct an equilibrium partition function for global thermal states unless part of the fractonic symmetries is spontaneously broken. This leads us to introduce two classes of fracton superfluids with conserved energy and momentum, namely $p$-wave and $s$-wave fracton superfluids. The latter phase is an Aristotelian superfluid at ideal order but with a velocity constraint and can be split into two separate regimes: the U(1) fracton superfluid and the pinned $s$-wave superfluid regimes. For each of these classes and regimes we formulate a hydrodynamic expansion and study the resultant modes. We find distinctive features of each of these phases and regimes at ideal order in gradients, without introducing dissipative effects. In particular we note the appearance of a sound mode for $s$-wave fracton superfluids. We show that previous work on fracton hydrodynamics falls into these classes. Finally, we study ultra-dense $p$-wave fracton superfluids with a large kinetic mass in addition to studying the thermodynamics of ideal Aristotelian superfluids.
Author comments upon resubmission
List of changes
In addition to the changes detailed in the responses to the referees, we have made the following changes:
* We have added footnote 5 with a clarification regarding the gauging procedure. We have also included a discussion of the gauge non-invariance of the Cartan connection under dipole transformations in the general case.
* We have changed the arguments around (5.26) and (5.27) as we had not been careful enough with the gradient ordering of $\Psi_\mu$ for s-wave superfluids, and added a sentence in the second paragraph below (C.8).
Published as SciPost Phys. 16, 039 (2024)
Reports on this Submission
Report 1 by Daniele Musso on 2024-1-8 (Invited Report)
- Cite as: Daniele Musso, Report on arXiv:scipost_202401_00003v1, delivered 2024-01-08, doi: 10.21468/SciPost.Report.8384
Strengths
1- The topic is timely and interesting for the high-energy community and beyond it.
2- The paper is well connected with the literature, both recent and less so.
3 - The paper is well structured and organized.
4 - The paper is extensive, detailed and both systematic and pedagogic in aim.
Report
SciPost acceptance criteria are met and I recommend the manuscript for publication there. In my view, the authors have answered to all my previous concerns in a satisfactory way and modified the manuscript accordingly.
Requested changes
No further changes are required.