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Thermalization of the Quantum Planar Rotor with external potential
by Birthe Schrinski, Yoon Jun Chan, Björn Schrinski
Submission summary
| Authors (as registered SciPost users): | Björn Schrinski |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2207.04810v3 (pdf) |
| Date accepted: | April 15, 2025 |
| Date submitted: | March 4, 2025, 8:34 p.m. |
| Submitted by: | Björn Schrinski |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We study decoherence, diffusion, friction, and how they thermalize a planar rotor in the presence of an external potential. Representing the quantum master equation in terms of auxiliary Wigner functions in periodic phase space not only illustrates the thermalization process in a concise way, but also allows for an efficient numerical evaluation of the open quantum dynamics and its approximate analytical description. In particular, we analytically and numerically verify the existence of a steady state that, in the high-temperature regime, closely approximates a Gibbs state. We also derive the proper classical limit of the planar rotor time evolution and present exemplary numerical studies to verify our results.
List of changes
- We added statements about the degree of originality in the different parts of the manuscript.
- The dimensionless parameters are expressed explicitly at suitable instances.
- Typical experimental parameters for (proposed) experimental realizations with levitated nano-rotors are reported.
- The list of references has been updated with several citations.
Published as SciPost Phys. Core 8, 040 (2025)
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