Analytic Approach for Controlling Realistic Quantum Chaotic Systems

TL;DR

This paper extends an analytic quantum control method from fully random matrices to more realistic banded random matrices, confirming its validity and identifying a threshold for successful control based on matrix width.

Contribution

It introduces an analytic control approach applicable to banded random matrices, advancing quantum control techniques for realistic systems.

Findings

The analytic control field is validated through numerical solutions.

A threshold in the band width determines control success.

The approach applies to more realistic quantum systems.

Abstract

An analytic approach for controlling quantum states, which was originally applied to fully random matrix systems [T. Takami and H. Fujisaki, Phys. Rev. E 75, 036219 (2007)], is extended to deal with more realistic quantum systems with a banded random matrix (BRM). The validity of the new analytic field is confirmed by directly solving the Schroedinger equation with a BRM interaction. We find a threshold of the width of the BRM for the quantum control to be successful.