SciPost Submission Page
Efficiency of Dynamical Decoupling for (Almost) Any Spin–Boson Model
by Alexander Hahn, Daniel Burgarth, Davide Lonigro
Submission summary
| Authors (as registered SciPost users): | Alexander Hahn |
| Submission information | |
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| Preprint Link: | scipost_202501_00046v1 (pdf) |
| Date submitted: | 2025-01-23 21:33 |
| Submitted by: | Hahn, Alexander |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Dynamical decoupling is a technique aimed at suppressing the interaction between a quantum system and its environment by applying frequent unitary operations on the system alone. In the present paper, we analytically study the dynamical decoupling of a two-level system coupled with a structured bosonic environment initially prepared in a thermal state. We find sufficient conditions under which dynamical decoupling works for such systems, and—most importantly—we find bounds for the convergence speed of the procedure. Our analysis is based on a new Trotter theorem for multiple Hamiltonians and involves a rigorous treatment of the evolution of mixed quantum states via unbounded Hamiltonians. A comparison with numerical experiments shows that our bounds reproduce the correct scaling in various relevant system parameters. Furthermore, our analytical treatment allows for quantifying the decoupling efficiency for boson baths with infinitely many modes, in which case a numerical treatment is unavailable.
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