Generalized Almost Complete Revivals in quantum spin chains

TL;DR

This paper extends the concept of almost complete revivals in quantum spin chains, allowing for more general initial and revival states, and shows that such revivals are suppressed for higher spin values.

Contribution

It generalizes the revival procedure to arbitrary points on the Bloch sphere and different sites, and analyzes the suppression of revivals for spins greater than 1/2.

Findings

Revivals can be from arbitrary points on the Bloch sphere.

Revival sites can differ from collapsing sites.

Revivals are suppressed as 1/S for spins S > 1/2.

Abstract

The conception of almost complete revivals has been introduced recently. In a quantum many-body system local observable may exhibit an almost complete revival to its maximal value at the predetermined moment of time. In this paper we extend the original procedure such that the revival may be from an arbitrary point on the Bloch sphere to the arbitrary point. Furthermore in the proposed procedure the reviving and collapsing sites are not necessarily the same. We also demonstrate that for spins $S$ higher than $1/2$ almost complete revivals are suppressed as $1/S$.