The Iterative Unitary Matrix Multiply Method and Its Application to Quantum Kicked Rotator

TL;DR

This paper introduces the iterative unitary matrix multiply method to analyze the long-term behavior of the quantum kicked rotator, revealing exponential delocalization times and constructing a nonresonant model with delocalization.

Contribution

The paper presents a novel application of the iterative unitary matrix multiply method to quantum kicked rotators, highlighting long delocalization times and constructing a nonresonant model.

Findings

Delocalization time is exponentially large.

Quantum wave delocalizes through degenerate states.

Constructed a nonresonant quantum kicked rotator with delocalization.

Abstract

We use the iterative unitary matrix multiply method to calculate the long time behavior of the resonant quantum kicked rotator with a large denominator. The delocalization time is exponentially large. The quantum wave delocalizes through degenerate states. At last we construct a nonresonant quantum kicked rotator with delocalization.