Pulse Width Modulation for Simulating Time-Dependent Quantum Systems
Abstract
This paper proposes a numerical method for solving time-dependent Schrodinger equations with finite spectral bandwidth, which applies to both periodic and non-periodic cases. We introduce the concept of Pulse Width Modulation (PWM), which is broadly used in classical control engineering, to simulate time-dependent quantum dynamics by switching between a finite number of constant Hamiltonians. The switching timings can be programmed to improve the precision and save computational resources. The effectiveness of the PWM method is demonstrated by numerical simulations, which shows that it is faster and more robust than the standard piecewise constant control systems. Moreover, we also propose the realization of PWM method for potential implementation in experimental systems.
Keywords
Cite
@article{arxiv.1607.04054,
title = {Pulse Width Modulation for Simulating Time-Dependent Quantum Systems},
author = {Qi-Ming Chen and Re-Bing Wu},
journal= {arXiv preprint arXiv:1607.04054},
year = {2022}
}
Comments
Withdraw for the poor style and the unclear messages. A better version has been updated (see arXiv:2209.09869)