English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The dynamics of a single quantum state embedded in one or several(quasi-)continua is one of the most studied phenomena in quantum mechanics. Inthis work we investigate its discrete analogue and consider short and long timedynamics based on numerical and analytical solutions of the Schr\"odingerequation. In addition to derivation of explicit conditions for initialexponential decay, it is shown that a recent model of this class [Phys. Rev. A95, 053821, (2017)], describing a qubit coupled to a phonon reservoir withenergy dependent coupling parameters is identical to a qubit interacting with afinite number of parallel regularly spaced band of states via constantcouplings. As a consequence, the characteristic near periodic initial staterevivals can be viewed as a transition of probability between differentcontinua via the reviving initial state. Furthermore, the observation ofpolynomial decay of the reviving peaks is present in any system with constantand sufficiently strong coupling.

Decay and revival dynamics of a quantum state embedded in regularly spaced band of states