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Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model
by Botond C. Nagy, Gábor Takács, Márton Kormos
Submission summary
| Authors (as registered SciPost users): | Márton Kormos · Botond Nagy |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2312.03909v4 (pdf) |
| Date submitted: | 2024-05-03 18:57 |
| Submitted by: | Nagy, Botond |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
We set up a hydrodynamic description of the non-equilibrium dynamics of sine-Gordon quantum field theory for generic coupling. It is built upon an explicit form of the Bethe Ansatz description of general thermodynamic states, with the structure of the resulting coupled integral equations encoded in terms of graphical diagrams. The resulting framework is applied to derive results for the Drude weights of charge and energy. Quantities associated with the charge universally have fractal dependence on the coupling, which is notably absent from those associated with energy, a feature explained by the different roles played by reflective scattering in transporting these quantities. We then present far-from-equilibrium results, including explicit time evolution starting from bipartite initial states and dynamical correlation functions. Our framework can be applied to explore numerous other aspects of non-equilibrium dynamics, which opens the way to a wide array of theoretical studies and potential novel experimental predictions.
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
- Parts of Section 2.2 are transferred to Appendix A to improve legibility
- Parts of Section 2.3 are transferred to Appendix B to improve legibility
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The authors have answered my questions and revised the manuscript in order to improve the presentation. They have also argued that the derivation of the TBA equations constitutes a breakthrough in a long-standing line of research; in my opinion convincingly. Thus I believe the manuscript can be accepted in SciPost Phys.
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