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Interpolating Between the Gauge and Schrödinger Pictures of Quantum Dynamics
by Sayak Guha Roy, Kevin Slagle
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Submission summary
| Authors (as registered SciPost users): | Sayak Guha Roy |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2307.02369v1 (pdf) |
| Date accepted: | 2023-11-06 |
| Date submitted: | 2023-07-14 16:16 |
| Submitted by: | Guha Roy, Sayak |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Although spatial locality is explicit in the Heisenberg picture of quantum dynamics, spatial locality is not explicit in the Schr\"odinger picture equations of motion. The gauge picture is a modification of Schr\"odinger's picture such that locality is explicit in the equations of motion. In order to achieve this explicit locality, the gauge picture utilizes (1) a distinct wavefunction associated with each patch of space, and (2) time-dependent unitary connections to relate the Hilbert spaces associated with nearby patches. In this work, we show that by adding an additional spatially-local term to the gauge picture equations of motion, we can effectively interpolate between the gauge and Schr\"odinger pictures, such that when this additional term has a large coefficient, all of the gauge picture wavefunctions approach the Schr\"odginer picture wavefunction (and the connections approach the identity).
Published as SciPost Phys. Core 6, 081 (2023)
Reports on this Submission
Anonymous Report 1 on 2023-10-21 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2307.02369v1, delivered 2023-10-21, doi: 10.21468/SciPost.Report.7982
Strengths
1. Concrete.
2. Clearly written.
Weaknesses
1. It is unclear that this stage what general impact this paper will have.
2. The technical part of the paper seems standard, and the paper does not introduce any new theoretical techniques.
Report
The authors of this paper studies how to further connect the gauge picture developed by one of them with the Schrodinger picture of quantum dynamics. As far as I can tell, the results are valid. The contents of the paper are very concrete, and the presentation is clear. However, it is unclear to me what general impact this paper will have, and this paper does not seem to introduce any new theoretical tools. So I would recommend this paper to be published on SciPost Physics Core, rather than the flagship journal SciPost Physics.