Pulse Width Modulation for Simulating Time-Dependent Quantum Systems

TL;DR

This paper introduces a Pulse Width Modulation (PWM) method for simulating time-dependent quantum systems, offering improved speed and robustness over traditional methods, with potential for experimental implementation.

Contribution

The paper adapts PWM from classical control to quantum dynamics simulation, providing a novel, efficient numerical approach for solving time-dependent Schrödinger equations.

Findings

PWM is faster than standard methods.

PWM is more robust in simulations.

Potential for experimental realization.

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.