Optimal control technique for Many Body Quantum Systems dynamics

TL;DR

This paper introduces an optimal control method for quantum many-body systems that significantly accelerates state transitions and reduces defects, demonstrated on ultra-cold atom experiments with robustness to fluctuations.

Contribution

It develops an efficient control strategy compatible with tensor network methods, improving state preparation speed and fidelity in complex quantum systems.

Findings

Reduced transition time by about two orders of magnitude.

Suppressed defects by more than one order of magnitude.

Control pulses are robust against atom number fluctuations.

Abstract

We present an efficient strategy for controlling a vast range of non-integrable quantum many body one-dimensional systems that can be merged with state-of-the-art tensor network simulation methods like the density Matrix Renormalization Group. To demonstrate its potential, we employ it to solve a major issue in current optical-lattice physics with ultra-cold atoms: we show how to reduce by about two orders of magnitudes the time needed to bring a superfluid gas into a Mott insulator state, while suppressing defects by more than one order of magnitude as compared to current experiments [1]. Finally, we show that the optimal pulse is robust against atom number fluctuations.