Quantum Averaging Theory for Multi-Timescale Driven Quantum Systems
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917179302084608 |
|---|---|
| author | Barajas, Kristian D. Campbell, Wesley C. |
| author_facet | Barajas, Kristian D. Campbell, Wesley C. |
| contents | We present a multi-timescale Quantum Averaging Theory (QAT), a unitarity-preserving generalized Floquet framework for analytically modeling periodically and almost-periodically driven quantum systems across multiple timescales. By integrating the Magnus expansion with the method of averaging on multiple scales, QAT captures the effects of both far-detuned and near-resonant interactions on system dynamics. The framework yields an effective Hamiltonian description while retaining fast oscillatory effects within a separate dynamical phase operator, ensuring accuracy across a wide range of driving regimes. We demonstrate the rapid convergence of QAT results toward exact numerical solutions in both detuning regimes for touchstone problems in quantum information science. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09761 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Averaging Theory for Multi-Timescale Driven Quantum Systems Barajas, Kristian D. Campbell, Wesley C. Quantum Physics Other Condensed Matter Chaotic Dynamics We present a multi-timescale Quantum Averaging Theory (QAT), a unitarity-preserving generalized Floquet framework for analytically modeling periodically and almost-periodically driven quantum systems across multiple timescales. By integrating the Magnus expansion with the method of averaging on multiple scales, QAT captures the effects of both far-detuned and near-resonant interactions on system dynamics. The framework yields an effective Hamiltonian description while retaining fast oscillatory effects within a separate dynamical phase operator, ensuring accuracy across a wide range of driving regimes. We demonstrate the rapid convergence of QAT results toward exact numerical solutions in both detuning regimes for touchstone problems in quantum information science. |
| title | Quantum Averaging Theory for Multi-Timescale Driven Quantum Systems |
| topic | Quantum Physics Other Condensed Matter Chaotic Dynamics |
| url | https://arxiv.org/abs/2503.09761 |