Controlling a Quantum System via its Boundary Conditions

TL;DR

This paper demonstrates a numerical method for controlling quantum states in a particle-in-a-box system by modulating boundary conditions, achieving high population transfer without relying on traditional selection rules.

Contribution

It introduces a novel boundary control technique for quantum systems, enabling selective excitation of multiple states without dipole selection rules.

Findings

States up to the fourth can be populated over 80%

Higher states can be selectively excited

Boundary control offers a new quantum manipulation method

Abstract

We numerically study a particle in a box with moving walls. In the case where the walls are oscillating sinusoidally with small amplitude, we show that states up to the fourth state can be populated with more than 80 percent population, while higher-lying states can also be selectively excited. This work introduces a way of controlling quantum systems which does not rely on (dipole) selection rules.