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Suppression of decoherence of a spin–boson system by time-periodic control

Suppression of decoherence of a spin–boson system by time-periodic control We consider a finite-dimensional quantum system coupled to the bosonic radiation field and subject to a time-periodic control operator. Assuming the validity of a certain dynamic decoupling condition, we approximate the system’s time evolution with respect to the non-interacting dynamics. For sufficiently small coupling constants g and control periods T, we show that a certain deviation of coupled and uncoupled propagator may be estimated by $$\mathcal {O}(gt \, T)$$ O ( g t T ) . Our approach relies on the concept of Kato stability and general theory on non-autonomous linear evolution equations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Suppression of decoherence of a spin–boson system by time-periodic control

Bach, Volker; Hach, Alexander
Journal of Evolution Equations , Volume 18 (2) – Jul 25, 2017
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References (8)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer International Publishing AG
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-017-0405-3
Publisher site
See Article on Publisher Site

Abstract

We consider a finite-dimensional quantum system coupled to the bosonic radiation field and subject to a time-periodic control operator. Assuming the validity of a certain dynamic decoupling condition, we approximate the system’s time evolution with respect to the non-interacting dynamics. For sufficiently small coupling constants g and control periods T, we show that a certain deviation of coupled and uncoupled propagator may be estimated by $$\mathcal {O}(gt \, T)$$ O ( g t T ) . Our approach relies on the concept of Kato stability and general theory on non-autonomous linear evolution equations.

Journal

Journal of Evolution Equations – Springer Journals

Published: Jul 25, 2017

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