Comment on ``Quasienergy anholonomy and its application to adiabatic quantum state manipulation''

TL;DR

This paper comments on a previous work about a kicked spin model exhibiting eigenvalue anholonomy, discussing missing elements like dynamical phase, gauge potential, and adiabaticity that are crucial for its application in quantum state manipulation.

Contribution

The authors critically analyze the original model, highlighting missing theoretical elements essential for understanding and applying the eigenvalue anholonomy in quantum control.

Findings

Identifies missing elements in the original model

Emphasizes importance of dynamical phase, gauge potential, and adiabaticity

Suggests these elements are vital for practical quantum applications

Abstract

In their Letter [A. Tanaka and M. Miyamoto, Phys. Rev. Lett. 98, 160407 (2007)], Tanaka and Miyamoto introduce a kicked spin model, for which they point out the generic existence of exotic eigenvalue anholonomy. They proceed to show the potential utility of the model for quantum state manipulation and quantum information processing. While we believe their model to be vary useful and their argument to be revealing, In our view, there are three missing elements in the article, without which their discussion seems to be incomplete and the prospect of the application limited. They are on dynamical phase, gauge potential, and on adiabaticity.